## What is Wolfram Alpha?

Wolfram Alpha (aka WoframAlpha or Wolfram|Alpha) is a unique computational knowledge engine developed by Wolfram Research. It is designed to provide answers to factual queries by computing the answer from externally sourced “curated data”, rather than providing a list of documents or web pages that might contain the answer as a search engine might. It covers a vast array of subjects, providing precise computations, definitions, and data analysis.

## How the Integration Works

ClassX Pro now uses Wolfram Alpha right inside its chatbot. Whenever you ask a question that needs detailed calculations or exact facts, both the chatbot and Wolfram Alpha work together to give you the answer. This means you get answers that not only make sense but are also correct and backed by math. Plus, you can keep asking more questions and get factual answers right away, all in the same chat.

### Step 1: Click on the Wolfram Alpha Icon

To access the WolframAlpha chatbot, click on the red Wolfram icon.

### Step 2: Ask a Question or Upload a Picture

Ask a question or upload a picture of the question.

### Step 3: Discuss the answer

When you press the send button, the chatbot will automatically check if the answer can be computed by Wolfram Alpha. If so, Wolfram Alpha will provide the answer straight into the chatbot for further discussion.

## Benefits of Using Wolfram Alpha Integration for Homework Help

**Accuracy:**With Wolfram Alpha, you get super accurate answers for your homework questions. It’s like having a math genius at your fingertips!**Comprehensiveness:**Whether you’re working on history, science, or math, you can dig into detailed data and calculations for all sorts of topics.**Efficiency:**Get quick answers to complex problems right during your study session, saving you tons of time.**Instant Homework Help:**Not only do you get correct answers quickly, but you can also ask follow-up questions and understand your homework better in real-time.

## Benefits of Using Wolfram Alpha Integration for Teachers

**Accuracy:**Ensures that the information you provide to students is precise, helping them learn correctly.**Resourcefulness:**Access a wide range of data and calculations to enrich lesson plans across various subjects.**Efficiency:**Quickly find and verify answers during class discussions, saving valuable teaching time.**Interactive Learning:**Facilitates engaging classroom interactions as students can ask follow-up questions and explore topics in real-time, enhancing their understanding and curiosity.

## Compute expert-level answers using Wolfram’s breakthrough algorithms, knowledgebase and AI technology

## Pro Membership

Get factual information every time with the Wolfram|Alpha integration. No matter which subject you’re studying (or teaching), our WolframAlpha integration gives you superpowers!

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### Subjects

### Mathematics

With the ClassX WolframAlpha integration, students and teachers can leverage the broad knowledge and deep computational power of WolframAlpha for a range of subjects, especially in math. Whether it’s arithmetic, algebra, calculus, differential equations, or anything in between, this integration is up to the challenge. Use it to get help with math homework, solve specific math problems, or find detailed information on mathematical subjects and topics.

#### Elementary Math

Wolfram|Alpha is great for advanced calculations, but it can also help with basic math problems. For example, it can solve arithmetic questions like addition and subtraction, convert fractions to decimals, and solve math word problems. It can also work with unknown values to figure out if a number is odd or even, positive or negative. For instance, it can tell if a number is positive even if you don’t know the exact number.

##### Elementary Math Fields

###### Arithmetic

###### Fractions

###### Percentages

###### Place Value

###### Number Type Arithmetic

###### Mathematical Word Problems

**Examples:**

1. $23 + 57$

2. $89−34$

3. $12×8$

4. $144÷12$

#### Algebra

Algebra is a key area of mathematics focused on studying variables and the operations that apply to numbers and symbols. Wolfram|Alpha is an excellent tool for solving equations, exploring polynomials, and studying concepts such as fields, groups, vectors, and matrices. For instance, you can use it to solve quadratic equations, find the roots of a polynomial, or calculate the determinant of a matrix.

##### Algebra Fields

###### Equation Solving

###### Polynomials

###### Relational Functions

###### Simplification

###### Quaternions

###### Finite Groups

###### Matrices

###### Finite Fields

###### Domain & Range

**Examples:**

1. $2x + 3 = 7$

2. $\frac{x^2 – 4}{x – 2}$

3. $(x + 2)^3$

4. $x^2 + 5x + 6$

#### Calculus & Analysis

Calculus is the branch of mathematics that studies how quantities change and measures the length, area, and volume of objects. Wolfram|Alpha is an excellent tool for answering questions in both single and multivariable calculus. It can compute limits, derivatives, and integrals, and apply these concepts to find tangent lines, extrema, arc lengths, and more. For example, you can use it to determine the derivative of a function, find the area under a curve, or solve a differential equation.

##### Calculus & Analysis Fields

###### Integrals

###### Derivatives

###### Limits

###### Sequences

###### Products

###### Series Expansion

###### Sums

###### Vector Analysis

###### Integral Transforms

###### Application of Calculus

###### Continuity

###### Domain & Range

**Examples:**

1.$\frac{d}{dx} (x^3 – 3x^2 + 2x)$

2. $\int (2x^2 + 3x + 1) dx$

3. $\lim_{{x \to 0}} \frac{\sin(x)}{x}$

4. $\sum_{{n=1}}^{\infty} \frac{1}{n^2}$

#### Geometry

Geometry is the field of mathematics that studies the properties of shapes and the space they occupy. Wolfram|Alpha can analyze and compute with geometric figures of various dimensions, such as polygons and polyhedra. It can also solve practical problems using geometry, like tiling or packing problems. Additionally, Wolfram|Alpha can provide information on more advanced topics such as analytic geometry and topology. For example, you can use it to calculate the area of a triangle, determine the volume of a cylinder, or explore the properties of a dodecahedron.

##### Geometry Fields

###### Plane Geometry

###### Solid Geometry

###### Coordinate Geometry

###### Geometric Transformations

###### High-Dimensional Geometry

###### Packing & Coverings Problems

###### Curves & Surfaces

###### Moiré Patterns

###### Polyforms

###### Tilings

###### Topolgy

**Examples:**

1. Area of a circle with radius 5

2. Perimeter of a rectangle with length 10 and width 4

3. Volume of a sphere with radius 3

4. Angle between two intersecting lines

#### Differential Equations

A differential equation is an equation that involves a function and its derivatives. It can be called an ordinary differential equation (ODE) if it involves regular derivatives, or a partial differential equation (PDE) if it involves partial derivatives. Wolfram|Alpha can solve many problems in this important branch of mathematics, including solving ODEs, finding the ODE that a function satisfies, and solving an ODE using various numerical methods. For example, you can use it to model population growth, simulate heat distribution, or analyze electrical circuits.

##### Differential Equation Fields

###### Ordinary Differential Equations

###### Numerical Differential Equation Solving

**Examples:**

1. Solve a linear ordinary differential equation:

$y” + y = 0$

2. Specify initial values:

$y” + y = 0$ with initial values: $y(0) = 2, y'(0) = 1$

3. Solve a nonlinear equation:

$f'(t) = f(t)^2 + 1$

#### Plotting & Graphics

Plotting and graphing are techniques for visualizing mathematical functions. With Wolfram|Alpha, you can generate plots of functions, equations, and inequalities in one, two, and three dimensions. You can also explore different types of visualizations, such as polar plots, parametric plots, contour plots, and region plots, to gain a deeper understanding of the functions and equations you are interested in. For instance, you can use it to create a 3D plot of a surface, generate a parametric plot of a curve, or visualize the solutions to an inequality.

##### Plotting & Graphics Fields

###### Functions

###### 3D Plots

###### Inequalities

###### Number Lines

###### Polar Plots

###### Equations

###### Parametric Plots

**Examples:**

1. Plot a function:

Plot: $x^3 – 6x^2 + 4x + 12$

2. Plot a region satisfying multiple inequalities:

Plot: $x^2 + y^2 \leq$ and $y > x$

#### Numbers

Numbers are mathematical entities that were initially used to count objects and measure quantities. Over time, as the need for more general numeric entities arose, broader sets of numbers came into use, including tallying systems, counting numbers, integers, zero, rational numbers, irrational numbers, and complex numbers. Wolfram|Alpha’s computational knowledge can help you identify the properties of these number sets and perform calculations within and across their respective domains. For example, you can use it to find the prime factors of a number, convert a fraction to a decimal, or perform arithmetic with complex numbers.

##### Numbers Fields

###### Integers

###### Rational Numbers

###### Irrational Numbers

###### Algebraic Numbers

###### Transcendental Numbers

###### Complex Numbers

###### Arbitrary Precision

###### Mathematical Constants

###### Number Recognition

###### Base Conversions

###### Historical Numbers

###### Number Names

###### Number Type Arithmetic

**Examples:**

1. Compute a decimal approximation to a specified number of digits:

Approximate $\pi$ to 1000 digits

2. Convert a decimal number to another base:

Convert 219 to binary

#### Trigonometry

Trigonometry is the study of the relationships between the side lengths and angles of triangles and their applications. This field is essential to mathematics, engineering, and various sciences. Wolfram|Alpha offers comprehensive tools for trigonometry, allowing you to compute values of trigonometric functions, solve trigonometric equations, and more. For example, you can use it to find the sine of an angle, solve a right triangle, or analyze wave functions.

##### Trigonometry Fields

###### Trigonometric Calculations

###### Trigonometric Functions

###### Trigonometric Identities

###### Spherical Trigonometry

###### Trigonometric Equations

###### Trigonometric Theorems

**Examples:**

1. $\sin(30^\circ)$

2. $\cos(\pi/4)$

3. $\tan(x) = 1$

4. $\sec(45^\circ)$

#### Linear Algebra

Linear algebra utilizes vector and matrix operations to study the properties of linear systems. Wolfram|Alpha’s extensive computational knowledge of topics like vectors, vector spaces, and matrix theory makes it a valuable resource for calculating and exploring the properties of vectors and matrices, determining the linear independence of vectors, and examining the vector spaces underlying sets of vectors and matrices. For instance, you can use it to solve a system of linear equations, perform matrix multiplication, or find the eigenvalues of a matrix.

##### Linear Algebra Fields

###### Vectors

###### Matrices

###### Linear Independence

###### Vector Spaces

**Examples:**

1. $\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$

2. $\text{Inverse of } \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$

3. $\begin{cases} 2x + 3y = 5 \\ 4x – y = 6 \end{cases}$

4. $\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \times \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}$

#### Number Theory

Number theory is a branch of mathematics that focuses on whole numbers and their properties. Key concepts include prime numbers, divisors, and Diophantine equations. Modern number theory has many applications, such as elliptic-curve cryptography and even music theory. For example, you can use it to find the greatest common divisor of two numbers, test a number for primality, or explore the solutions to a Diophantine equation.

##### Number Theory Fields

###### Prime Numbers

###### Divisors

###### Diophantine Equations

###### Digit Sums

###### Continued Fractions

###### Special Numbers

**Examples:**

1. Prime factors of 56

2. Is 97 a prime number?

3. GCD of 48 and 180

4. LCM of 15 and 20

#### Discrete Mathematics

Discrete mathematics deals with areas of mathematics that are discrete, rather than continuous, in nature. This includes topics such as sequences and series, counting problems, graph theory, and set theory. Use Wolfram|Alpha to apply and understand these and related concepts. For example, you can use it to find the next term in a sequence, solve a combinatorial problem, analyze a graph, or explore the properties of sets.

##### Discrete Mathematics Fields

###### Combinatorics

###### Graph Theory

###### Point Latices

###### Sequences

###### Recurrences

###### Ackermann Function

**Examples:**

1. How many ways can 5 people be seated in a row?

2. Number of subsets of a set with 8 elements

3. Shortest path in a graph using Dijkstra’s algorithm

4. $P \rightarrow Q$

#### Complex Analysis

Complex analysis is the field of mathematics that studies complex numbers and functions of a complex variable. Wolfram|Alpha’s powerful computational tools enable you to perform complex arithmetic, analyze and compute properties of complex functions, and apply the methods of complex analysis to solve related mathematical problems. For example, you can use it to evaluate complex integrals, find residues of complex functions, or solve complex differential equations.

##### Complex Analysis Fields

###### Complex Numbers

###### Complex Functions

###### Poles

###### Residues

###### Riemann Surfaces

**Examples:**

1. Compute properties of a function of a complex variable (use the variable 𝑧):

Compute: $e^z$

Evaluation: $e^{i\pi} = -1$

2. Compute the residue of a function at a point:

Compute the residue of $\frac{1}{(z^2+4)^2}$ at $z=2i$

#### Applied Mathematics

Applied mathematics is the branch of mathematics focused on using mathematical results, techniques, and methods, along with specific subject-area expertise, to understand and solve real-world problems in science, technology, business, society, engineering, and industry. Wolfram|Alpha’s extensive computational knowledge and powerful mathematical algorithms enable you to apply mathematical techniques to compute, analyze, and explore various practical problems. For example, you can use it to optimize business processes, model scientific phenomena, or analyze engineering systems.

##### Applied Mathematics Fields

###### Optimization

###### Numerical Analysis

###### Dynamical Systems

###### Fractals

###### Packaging & Covering Objects

###### Game Theory

**Examples:**

1. Minimize or maximize a function:

Maximize $x(1-x)e^x$

2. Numerically integrate functions that cannot be integrated symbolically:

Integrate: $\int \sin(x) \cos(x) \, dx \text{ from } 0 \text{ to } 1$

#### Logic & Set Theory

Symbolic logic and set theory are foundational to mathematics and are deeply interconnected. Use Wolfram|Alpha to visualize, compute, and transform logical expressions or terms in Boolean logic or first-order logic. Wolfram|Alpha can also create tables and diagrams, perform set-theoretic operations, and compute set theory predicates such as equality and subsets. For example, you can use it to simplify a logical expression, generate a truth table, find the intersection of sets, or verify if one set is a subset of another.

##### Logic & Set Theory Fields

###### Boolean Algebra

###### Set Theory

###### Transfinite Numbers

**Examples:**

1. Compute a truth table:

Truth Table: $P \& (Q \| R)$

2. Generate a Venn diagram:

Venn Diagram: $ (\text{complement } S) \cap (A \cup B)$

#### Mathematical Functions

In mathematics, a function is a relation, numerical or symbolic, between a set of inputs (the function’s domain) and a set of potential outputs (the function’s codomain). The power of the Wolfram Language enables Wolfram|Alpha to compute properties for both user-defined functional forms and hundreds of known special functions. Use our extensive functionality to compute properties like periodicity, injectivity, and parity for polynomial, elementary, and other special functions. For example, you can use it to determine if a function is periodic, check if it is injective (one-to-one), or find its parity (odd or even).

##### Mathematical Functions Fields

###### Domain & Range

###### Injectivity & Surjectivity

###### Continuity

###### Continuity

###### Periodic Functions

###### Even & Odd Functions

###### Special Functions

###### Number Theoretic Functions

###### Representation Formulas

**Examples:**

1. Do computations with special functions:

Compute: $\frac{d}{dx} \sin(x^2)$

2. Do computations with number theoretic functions:

Compute: $\phi(110)$

#### Mathematical Definitions

Wolfram|Alpha has access to a vast collection of knowledge on mathematical objects, expressions, and theorems. It can identify the mathematical subject of a given concept according to its Wolfram MathWorld subject category and its MSC 2010 classification code, and find related topics based on this categorization. For example, you can use it to categorize a mathematical theorem, look up its classification code, and explore related theorems or concepts within the same category.

##### Mathematical Definitions Fields

###### Mathematical Definitions

###### Mathematical Subjects

**Examples:**

1. Find information about a math concept:

Explain a tangram in mathematics.

2. Get a brief definition:

Explain what prime numbers are.

#### Famous Math Problems

Throughout history, many famous math problems were posed that could not be solved at the time. Some conjectures lasted for hundreds of years before being proven or disproven, and some remain unsolved. Wolfram|Alpha has knowledge of many of these renowned math problems, including Hilbert’s 23 problems and the Millennium Prize problems. For example, you can use it to learn about the Riemann Hypothesis, explore the history of Fermat’s Last Theorem, or delve into the details of the Poincaré Conjecture.

##### Famous Math Problems Fields

###### Open Conjectures

###### Solved Problems

**Examples:**

1. Get information about a mathematical conjecture:

Conjecture: Riemann Hypothesis

2. Get historical information about a theorem:

Theorem: Fermat’s Last Theorem

#### Continued Fractions

The continued fraction representation of a number is a sum of two terms. The first term is the integer part of the number, and the second term is recursively defined as the reciprocal of the continued fraction form of the reciprocal of the number’s fractional part. Rational numbers can be represented by finite continued fractions, while irrational numbers require infinitely deep representations. Wolfram|Alpha can convert between these representations and utilize them. It also possesses knowledge about symbolic continued fractions and related theorems and algorithms. For example, you can use it to find the continued fraction of a rational number, approximate an irrational number with a continued fraction, or explore the properties and theorems related to continued fractions.

##### Continued Fractions Fields

###### Numbers

###### Functions

###### Definitions of Terms

###### Theorems

###### Algorithms

###### Literature

**Examples:**

1. Find the continued fraction representation of a number:

Number: 𝜋

Representation: $[3;7,15,1,292,…]$

2. Find definitions of continued fraction terminology:

What does the term “Regular Continued Fraction” mean?

#### Statistics

Statistics is the branch of mathematics focused on collecting, analyzing, and presenting data. Given a set of data, Wolfram|Alpha can instantly compute various descriptive and inferential statistical properties, perform regression analyses, and fit equations. Wolfram|Alpha’s extensive computational knowledge of statistical methods allows you to analyze, interpret, and visualize your data quickly and accurately. For example, you can use it to calculate the mean and standard deviation of your data, perform a t-test, generate a linear regression model, or create visualizations like histograms and scatter plots.

##### Statistics Fields

###### Descriptive Statistics

###### Statistical Inference

###### Regression Analysis

###### Random Variables

**Examples:**

1. Calculate basic descriptive statistics for a data set:

Data set: $\{25, 35, 10, 17, 29, 14, 21, 31\}$

Calculate: Mean, Median, Standard Deviation

2. Find the sample size needed to estimate a binomial parameter:

Parameter: Sample size for binomial parameter

#### Probability

Probability is the quantification of the likelihood that an event or a set of events will occur. Using Wolfram|Alpha’s extensive computational understanding of probability and its expansive knowledge of real-world applications, you can compute the chances of winning various games driven by random chance, conduct and analyze the outcomes of random trials, visualize and compute the properties of probability distributions, and calculate the probabilities of events given a set of conditions. For example, you can use it to find the probability of rolling a specific number with a die, simulate the results of a coin toss experiment, analyze a normal distribution, or determine the likelihood of drawing a specific card from a deck.

##### Probability Fields

###### Games of Chance

###### Bernoulli Trials

###### Birthday Probabilities

###### Probability Formulas

###### Probability Distributions

**Examples:**

1. Compute the probability of a union of events:

Events: probability of the union of three events

2. Compute coin-toss probabilities:

Compute the probability distribution of heads and tails for 32 coin tosses

#### Common Core Math

The Common Core State Standards (CCSS) for Mathematics outline the mathematical content to be taught in the United States from kindergarten through high school. Released in 2010 by a state-led coalition of educators and content experts, these standards have been adopted by 41 states, the District of Columbia, Guam, the Northern Mariana Islands, and the US Virgin Islands. The CCSS are a comprehensive list of topics that build on each other across grade levels, emphasizing conceptual understanding and real-world applications alongside mathematical procedures. These standards serve as a framework for educators to provide all students in the United States with rigorous mathematics instruction.

The Common Core math example pages, organized by grade level and content area, showcase how Wolfram|Alpha can support K–12 math students and teachers. Wolfram|Alpha offers tools for mathematical computation that not only affirm traditional education models but also incorporate the integrated, rigorous approach of the CCSS. For example, students can use Wolfram|Alpha to solve algebraic equations, visualize geometric shapes, analyze statistical data, and explore calculus concepts, all in alignment with the CCSS.

##### Common Core Math Fields

###### Kindergarten

###### Grade 1

###### Grade 2

###### Grade 3

###### Grade 4

###### Grade 5

###### Grade 6

###### Grade 7

###### Grade 8

###### High School

###### Algebraic Thinking

###### Counting & Cardinality

###### Expressions & Equations

###### Fractions

###### Functions

###### Geometry

###### Measurement & Data

###### Numbers in Base Ten

###### Number System

###### Ratios & Proportions

###### Statistics & Probability

###### High School Algebra

###### High School Functions

###### High School Geometry

###### High School Number & Quantity

###### High School Statistics & Probability

**Examples:**

1. Evaluate an expression (CCSS.Math.Content.6.EE.A.2c):

Evaluate the expression: $\text{if } x = 4, \text{ what is } 3x + 5?$

2. Perform multiple operations with rational numbers (CCSS.Math.Content.7.NS.A.2c):

Expression: $-1/2 + 3/8 + 1/4 + -3/2$

### Science & Technology

Students and teachers can access WolframAlpha’s extensive knowledge related to science and technology. Utilizing its powerful computational capabilities, this integration allows users to solve problems in physics, chemistry, engineering, computational sciences, and many other domains.

#### Physics

Physics studies the features of the universe, encompassing both natural and man-made phenomena. With Wolfram|Alpha, you can explore data on topics such as quantum mechanics, nuclear and particle physics, thermodynamics, and Newtonian mechanics.

Wolfram|Alpha also provides a wealth of physical formulas and constants. This built-in data and the interactive calculators make it easy to get answers to your physics questions, whether for homework or general curiosity.

For example, you can use it to calculate the energy levels in a hydrogen atom, determine the efficiency of a heat engine, analyze the motion of a projectile, or find the half-life of a radioactive substance.

##### Physics Fields

###### Mechanics

###### Oscillations & Waves

###### Statistical Physics

###### Thermodynamics

###### Electricity & Magnetism

###### Optics

###### Relativity

###### Nuclear Physics

###### Quantum Physics

###### Particle Physics

###### Astrophysics

###### Physical Constants

###### Physical Principles

###### Physical Effects

###### Fluid Mechanics

**Examples:**

1. Compute mechanical work:

F = 30 N, d = 100 m

2. Compute the photon energy given wavelength:

\( \lambda \) = 435 nm

#### Chemistry

Chemistry is the study of matter, from individual atoms and ions to large biomolecules. With Wolfram|Alpha, you can explore data about chemical compounds, the reactions they undergo, solubility, and chemical graph theory. It also provides information on chemical quantities, unit conversions, molarity calculations, and stoichiometry.

Use Wolfram|Alpha to answer your chemistry questions, whether for homework or general curiosity. For example, you can calculate the molar mass of a compound, balance chemical equations, determine the solubility of a substance, or convert between different units of measurement.

##### Chemistry Fields

###### Chemical Elements

###### Molecules

###### Chemical Ions

###### Chemical Quantities

###### Chemical Thermodynamics

###### Chemical Solutions

###### Functional Groups

###### Cheminformatics

###### Quantum Chemistry

###### Bonds & Orbitals

###### Nuclear Chemistry

###### Physical Principles

**Examples:**

1. Get information about the chemical element carbon.

2. Balance the following chemical equation:

$\text{Al} + \text{O}_2 \rightarrow \text{Al}_2\text{O}_3$

#### Units & Measures

Wolfram|Alpha can find and convert values for a wide variety of units, measures, and scales. You can find information and convert between standard industrial measures, scientific scales, everyday life units, and many others.

For example, you can use it to convert between metric and imperial units, find the equivalent of a temperature in different scales, convert currency values, or determine the energy content of different foods.

Whether you need precise scientific measurements or everyday conversions, Wolfram|Alpha provides the tools to get accurate results.

##### Units & Measures Fields

###### Units

###### Measurement Devices

###### Fashion Sizes

###### Packing & Covering Objects

###### Industrial Measures & Standards

###### Physical Quantities

**Examples:**

1. Get unit conversions for a quantity:

Convert: 120 meters

2. Estimate the number of objects required to fill a container:

How many baseballs fit in a Boeing 747?

#### Engineering

Engineering is a discipline that deals with the design, construction, analysis, and maintenance of structures, machines, and systems using scientific methods, mathematical knowledge, and physical principles. It encompasses many fields and disciplines, from mechanical and structural to chemical and aerospace engineering.

Wolfram|Alpha allows you to explore various facets of engineering, including computing formulas and constants for electricity, materials science, aerodynamics, and more.

For example, you can use it to calculate electrical resistance, analyze the stress and strain on materials, determine lift and drag forces in aerodynamics, or solve chemical reaction equations in chemical engineering.

##### Engineering Fields

###### Aerospace Engineering

###### Energy Data

###### Electrical Engineering

###### Control Systems

###### Mechanical Engineering

###### Civil Engineering

###### Fluid Mechanics

###### Sound & Acoustics

###### Steam Tables

###### Measurement Devices

**Examples:**

1. Compute magnetic flux density for an object:

Compute the magnetic flux density given the following: 1 $A$ in a 1 $m$ Helmholtz coil

2. Compute the maximum force of a spring:

What is the maximum force of a spring with: k = 200 $N/m$, x = 0.1 $m$?

#### Earth Sciences

Earth science is the collection of domains that involve the study of Earth and its atmosphere. It includes environmental disciplines and concepts such as geology, geodesy, oceanography, atmospheric studies, and climatology.

For example, you can explore topics like the structure of Earth’s interior, the measurement and representation of Earth’s shape, the dynamics of ocean currents, weather patterns and forecasting, and the long-term trends in climate.

Wolfram|Alpha provides tools and data to help you understand and analyze these various aspects of Earth science.

##### Earth Science Fields

###### Geology

###### Geodesy & Navigation

###### Oceanography

###### Atmospheric Sciences

###### Climate

**Examples:**

1. Get information about one of the Earth’s geological layers:

What is the asthenosphere?

2. Compute the saturation vapor pressure:

What is the saturation vapor pressure at 30$^{\circ}$C

#### Transportation

Transportation describes the movement of cargo or passengers to and from various locations. Use Wolfram|Alpha to investigate a diverse set of transportation concepts, including transportation centers, pathways, and formulas.

For example, you can explore data on major transportation hubs like airports and seaports, analyze the shortest paths or optimal routes between locations, calculate fuel efficiency and travel time, and examine the logistics of cargo transport.

Wolfram|Alpha provides the tools to help you understand and optimize various aspects of transportation systems.

##### Transportation Fields

###### Road Transport

###### Air Transport

###### Rail Transport

###### Water Transport

###### Space Transport

**Examples:**

1. Get information about an automobile model:

Write all the specifications for the Mini Cooper Roadster.

2. Do computations on airline data:

What are the average amount of daily passengers on Union or Delta?

#### Computational Sciences

Compute properties of abstract machines in computational sciences, the branch of science studying computers and their use.

**Examples:**

1. Compute properties of an elementary cellular automaton:

Rule 110

2. Compute properties of a Turing machine:

What are the properties of a Turing machine 2506?

#### Materials

Explore properties of a range of materials from minerals to man-made alloys and plastics.

**Examples:**

1. Get information about an alloy:

Provide information about the alloy, carbon steel.

2. Convert a specific material hardness to various other systems:

Convert Mohs 6.5 to various other systems

#### Space & Astronomy

Investigate a range of topics involving space and astronomy, from celestial objects and astronomical events to manned space missions and space probes.

**Examples:**

1. Compute the date and properties of an eclipse:

When is the next solar eclipse?

2. Convert a specific material hardness to various other systems:

Convert Mohs 6.5 to various other systems

#### Life Sciences

**Examples:**1. Compute the date and properties of an eclipse: When is the next solar eclipse? 2. Convert a specific material hardness to various other systems: Convert Mohs 6.5 to various other systems

## Pro Membership

Get factual information every time with the Wolfram|Alpha integration. No matter which subject you’re studying (or teaching), our WolframAlpha integration gives you superpowers!

or