Mathematicsacademic

Efficiently solve mathematical problems with our Textbook Solutions and Revision Notes, saving time and boosting your exam performance.

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2307resources

Resource Type

Document Type

Textbook Guides

Solution Manual for Mathematics in Action: An Introduction to Algebraic, Graphical, and Numerical Problem Solving, 6th Edition

Solution Manual for Elementary and Intermediate Algebra Functions and Authentic Applications, 2nd Edition

Solution Manual for Developmental Mathematics with Applications and Visualization: Prealgebra, Beginning Algebra, and Intermediate Algebra, 2nd Edition

Solution Manual for Biocalculus: Calculus, Probability, and Statistics for the Life Sciences, 1st Edition

Solution Manual for Numerical Analysis, 3rd Edition

Solution Manual for Technical Calculus With Analytic Geometry , 4th Edition

Solution Manual for Finite Mathematics with Applications In the Management, Natural, and Social Sciences, 12th Edition

Solution Manual for Calculus Early Transcendentals, 3rd Edition

Solution Manual For Single Variable Calculus, 8th Edition

Solution Manual for Basic Technical Mathematics, 11th Edition

Solution Manual for College Algebra, 7th Edition

Solution Manual for College Algebra, 12th Edition

Solution Manual for Algebra and Trigonometry: Graphs and Models, 6th Edition

Solution Manual for College Algebra and Trigonometry, 4th Edition

Solution Manual for Beginning and Intermediate Algebra, 7th Edition

Solution Manual for Linear Algebra and Its Applications, 5th Edition

Solution Manual for Thinking Mathematically, 7th Edition

Solution Manual for Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition

Solution Manual For Elementary Geometry for College Students, 7th Edition

Solution Manual for Beginning Algebra, 9th Edition

Solution Manual For Fundamentals of Logic Design, 7th Edition

Solution Manual For Numerical Methods Using Matlab, 4th Edition

Solution Manual for College Algebra, 3rd Edition

Solution Manual for Contemporary Abstract Algebra, 9th Edition

Solution Manual for Beginning Algebra with Applications and Visualization, 3rd Edition

A First Course in Probability, 10th Edition Solution Manual

All Practical Purposes: Mathematical Literacy in Today's World Tenth Edition Solution Manual

Solution Manual for Linear Algebra, 6th Edition

Solution Manual for Algebra for College Students, 9th Edition

Solution Manual for Developmental Mathematics: College Mathematics and Introductory Algebra, 10th Edition

Solution Manual for Basic College Mathematics, 6th Edition

Solution Manual for Optimization in Operations Research, 2nd Edition

Prealgebra and Introductory Algebra 1st Edition Solution Manual

"Which choice correctly shows the solution(s) of the equation x2 = 400? A. x=20 B. x=−20 C. x=±20 D. x=400"

What is the simplified form of the following expression? 5√8 - √18- 2√2

"To find a coterminal angle, you must add or subtract 180 degrees to the original angle. True False"

What is 1+1+1+1 in binary addition ?

"Question content area top Part 1 Use PMT=Prn1−1+rn−nt to determine the regular payment amount, rounded to the nearest dollar.The price of a home is $340,000. The bank requires a 5% down payment. After the down payment, the balance is financed with a 15-year fixed-rate mortgage at 7%. Determine the monthly mortgage payment (excluding escrowed taxes and insurance) to the nearest dollar."

Solve for h. h+(6/5) = 2

How do you find the area of a trapezoid without the height?

Give some examples of real-life objects that are solids of revolution.

"Fill in the gaps to factorize this expression: 3x+15=3(_+_)"

True or false. To solve the equation 5x=20 you can use the multiplication property of Equality. Explain your reasoning.

Simplify √245

Factorize fully: 5x−15

How do you find the mean and median on a line plot?

"What is the product of (a − 5) and (a + 3)? A. A2 − 15 B. A2 + 2a − 15 C. A2 − 2a − 15 D. A − 5 − 2"

How do I find equation of the line of symmetry? 7 Refer to the following graph of $y=x^{2}-2$ to answer the following questions. (a) What is the value of $y$ when $x=3$ ? Answer: (a) (b) Write down the equation of the line of symmetry. Answer: (b) (c) What is the least value of $y$ ? Answer: (c) (d) Draw the line $y=7$. Answer: (d) On the graph

"Using the Associative Property of Addition, complete the statement: 17+(6+2x)=(17+6)+2x"

"Which pair of numbers is relatively prime? A. 7 and 21 B. 4 and 15 C. 6 and 9 D. 9 and 27"

Simplify √98

"Such a path that begins and ends at the same vertex and passes through all other vertices exactly once is called a _________________ circuit. a) Euler b) Hamiltonian c) Closed d) Bipartite"

Explain why 3x2 can be said to be in both standard form and factored form.

"Is 88 a perfect square? A. Yes, because there is a number, 44, that can be multiplied by 2 to give 88. B. No, because the proper factors of 88 are 2, 4, 8, 11, 22, and 44, and none of these factors gives 88 when multiplied by itself. C. Yes, because there is a whole number, 7,744, which is equal to 88 multiplied by itself. D. No, because perfect squares must be odd numbers."

Find a linear differential operator that annihilates the given function (use D for the differential operator) e^-x + 7xe^x - x^2 e^x

Isosceles triangles may be obtuse or acute but never right A. True B. False

Which of the following is a polynomial? A. x-2 - 1 B. 1/x + 2 C. (x6 – 4)/(x-6 + 1) D. x4 - 2

What is the value of n? $$ \begin{aligned} & \text { 9 } \\ & \text { 18 } \end{aligned} $$

Convert the height of a person who is 5.2 feet tall to centimeters. Include the inches-centimeter conversion factor. Use the table given to create conversion factors. Show all conversion factors needed. Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional analysis that you learned.

Anyone know what these 45-45-90 triangles are along with 30-60-90? Find the value of each variable based on the Reclas of 45-45-90 and 30-60-90 Δ'S. Simplify IF NEEDED!

What is the solution to the system of linear equations? | | | | --- | --- | | 0 | ( -3,0 ) | | 0 | ( -3,3 ) | | 0 | ( 0,2 ) | | 0 | ( 3,1 ) |

What does it mean if there is a check mark in front of a number in a math problem √169?

What is the mean absolute deviation of the following set of numbers: 6, 2, 8, 4, 8, 6, 8, 8?

"There are __________ categories of signs. A. Three B. Five C. Four D. Six"

"Select ""Is a Function"" or ""Is not a Function"" to correctly classify each relation. {(2, 2), (4, 4), (6, 6), (8, 8)} Is a Function Is not a Function {(0, 3), (3, 5), (5, 6), (8, 4)} Is a Function Is not a Function {(1, 2), (3, 3), (4, 8), (6, 3)} Is a Function Is not a Function {(3, 4), (5, 2), (5, 6), (7, 3)} Is a Function Is not a Function"

Are 2(x−3)+1 and 2x+6 equivalent expressions?

What is another way to write x2⋅x4?

What is the mean absolute deviation of the following set of numbers: 6, 2, 8, 4, 8, 6, 8, 8?

"What is the compound interest on $2,500 at 6.75% compounded daily for 20 days?"

Rewrite the standard form equation Ax+By=C in slope-intercept form. What expression corresponds to the slope of the line represented by Ax+By=C?

What number property does the equation show? 5+(1+2)=(1+2)+5

Which function is graphed below? A) y=1/3(3)^x B) y=3(1/3)^x C)y=(1/2)^x+2 D) y=(2)^x-1 Which function is graphed below?

AP Calculus AB: 4.3.2 Using the Chain Rule

This content elaborates on the chain rule, a fundamental technique for differentiating composite functions. It explains how to treat the inner function as a “blop,” differentiate the outer function, then multiply by the derivative of the inner function. It also highlights that the chain rule can be ...

AP Calculus AB: 4.3.1 An Introduction to the Chain Rule

This content introduces the chain rule, a key technique in calculus for differentiating composite functions—functions built from layers of other functions. It explains how to identify inner and outer layers, apply the rule step-by-step, and includes examples demonstrating how the chain rule simplifi...

AP Calculus AB: 4.2.2 The Quotient Rule

This content covers the quotient rule, a method for finding the derivative of a quotient of two differentiable functions. It provides the formula, a helpful chant for memorization, and step-by-step examples. The quotient rule is essential when dealing with functions divided by each other and is espe...

AP Calculus AB: 4.2.1 The Product Rule

This content explains the product rule, a fundamental rule in calculus used to differentiate the product of two functions. It provides the formula, a mnemonic for remembering it, and step-by-step examples. The product rule helps simplify complex derivatives and is essential when functions are multip...

AP Calculus AB: 4.1.3 Uses of the Power Rule

This content highlights the applications of the power rule in calculus, showing how it simplifies the process of finding derivatives. It explains how the rule works with constants (constant multiple rule) and sums of functions (sum rule), and includes examples that combine these rules to handle more...

AP Calculus AB: 4.1.2 A Quick Proof of the Power Rule

This content explains why the power rule for differentiation is valid, particularly for integer exponents, using the binomial theorem as a foundational proof. It emphasizes the need for mathematical proof beyond observed patterns and provides examples applying the rule to various functions.

AP Calculus AB: 4.1.1 A Shortcut for Finding Derivatives

This content introduces the power rule, a shortcut for finding derivatives of functions where variables are raised to rational powers. It explains how to apply the rule and includes examples involving both positive and negative exponents, as well as how to find slopes of tangent lines using derivati...

AP Calculus AB: Chapter 3 Test

This content focuses on calculating the average rate of change and the slopes of secant and tangent lines for quadratic and cubic functions. It also includes finding derivatives and applying them to evaluate function behavior at specific points.

AP Calculus AB: Chapter 3 Practice Test

This content provides practice with calculating the average rate of change and the slope of secant lines for various polynomial functions. It also includes examples of finding derivatives using both the definition of the derivative and standard differentiation rules, as well as interpreting velocity...

AP Calculus AB: 3.3.2 The Derivative of the Square Root Function

This content covers the derivative of the square root function, including how to compute it, interpret it as an instantaneous rate of change, and apply it to motion problems. It also includes examples involving limits, evaluating derivatives at specific points, and solving for velocity.

AP Calculus AB: 3.3.1 The Derivative of the Reciprocal Function

The derivative of the reciprocal function To find the tangent line at a point, compute the derivative to get the slope, then use point-slope form with the given point.

AP Calculus AB: 3.2.4 More on Instantaneous Rate

To find when an object reaches a specific location, set the position function equal to that location and solve for time. The instantaneous velocity is found by taking the derivative and evaluating it at a given time. An object stops when its velocity (derivative) equals zero.

AP Calculus AB: 3.2.3 The Equation of a Tangent Line

To find the tangent line’s equation, first find the derivative (slope function), then evaluate it at the point of tangency. Use the slope and point in the point-slope form to write the line. Horizontal tangents occur where the derivative equals zero.

AP Calculus AB: 3.2.2 Instantaneous Rate

This set explains how to find instantaneous rates, such as velocity, by differentiating position or production functions and evaluating the derivative at specific times. It highlights using the derivative definition, simplifying expressions, and interpreting results with real-world examples involvin...

AP Calculus AB: 3.2.1 The Slope of a Tangent Line

This flashcard set details how to find the slope of a tangent line using the derivative. It covers the step-by-step process from the definition of the derivative to evaluating the derivative at a specific point, with multiple examples illustrating how to calculate slopes of tangent lines for various...

AP Calculus AB: 3.1.4 Differentiability

This flashcard set explains the concept of differentiability, highlighting that a function must be smooth and continuous to be differentiable. It covers cases where differentiability fails due to sharp turns or discontinuities and provides examples to identify differentiability on intervals, along w...

AP Calculus AB: 3.1.3 The Derivative

This flashcard set introduces the derivative as the limit defining the instantaneous rate of change and the slope of the tangent line to a function. It explains the process of finding derivatives using limits and applies this concept to compute specific rates of change and evaluate related limits in...

AP Calculus AB: 3.1.2 Finding Instantaneous Velocity

This flashcard set explains how instantaneous velocity is derived as the limit of average velocity over smaller intervals. It connects slopes of secant lines to tangent lines, demonstrates the use of limits to remove indeterminate forms, and provides examples involving position functions and rates o...

AP Calculus AB: 3.1.1 Rates of Change, Secants, and Tangents

This flashcard set covers the relationship between average and instantaneous rates of change, using secant and tangent lines respectively. It explains how limits are used to find the slope of the tangent line and provides examples of calculating slopes of secant lines and interpreting instantaneous ...

AP Calculus AB: Chapter 2 Test

This flashcard set focuses on interpreting limits from graphs and numerical data. It emphasizes identifying points where limits exist or fail, understanding graphical discontinuities, and estimating rates of change like acceleration using values from a table.

AP Calculus AB: Chapter 2 Practice Test

This flashcard set explores evaluating limits using graphical data, tables, and piecewise functions. It includes identifying when limits do or do not exist, understanding discontinuities, estimating values using numerical data, and applying the epsilon-delta definition conceptually.

AP Calculus AB: 2.2.4 An Overview of Limits

This flashcard set provides a broad overview of limits, covering fundamental concepts like indeterminate forms, algebraic simplification, and graphical interpretation. It also explores continuity, types of discontinuities, and special trigonometric limits through both symbolic and applied examples.

AP Calculus AB: 2.2.3 Two Techniques for Evaluating Limits

This flashcard set explains techniques for evaluating limits that initially yield indeterminate forms, focusing on simplifying compound fractions and using conjugates to eliminate radicals. It emphasizes how these algebraic methods help resolve 0/0 forms to find the correct limit values.

AP Calculus AB: 2.2.2 Limits and Indeterminate Forms

This set of flashcards introduces the fundamentals of evaluating limits, including direct substitution, identifying indeterminate forms, and applying algebraic techniques like factoring. It also covers special cases using the Squeeze Theorem and limit behavior near undefined points.

AP Calculus AB: 2.2.1 Evaluating Limits

To evaluate a limit, substitute the x-value into the function if it's continuous there. If substitution gives an indeterminate form like 0/0, use algebraic methods (like factoring or simplifying) to resolve it. Limits describe a function’s behavior near a point—not necessarily at the point.

AP Calculus AB: 2.1.8 Continuity and Discontinuity

A function is continuous at a point if it’s defined there, its limit exists, and the function’s value equals that limit. Discontinuities occur when one or more of these conditions fail, leading to jump, point (removable), or infinite discontinuities.

AP Calculus AB: 2.1.7 The Squeeze Theorem

The Squeeze Theorem helps find the limit of a function by "squeezing" it between two simpler functions whose limits are known and equal. If the given function is always between those two near a point, then its limit at that point is the same.

AP Calculus AB: 2.1.6 One-Sided Limits

One-sided limits examine a function's behavior from only one direction—left (−) or right (+). A limit exists at a point only if both the left-hand and right-hand limits exist and are equal. If they differ, the overall limit does not exist.

AP Calculus AB: 2.1.5 The Limit Laws, Part II

The Limit Laws help evaluate limits of polynomial, rational, and root functions by allowing direct substitution when the function is defined at the point. These laws include rules for sums, products, quotients, powers, and roots, as long as the resulting expressions are valid (e.g., no division by z...

AP Calculus AB: 2.1.4 The Limit Laws, Part I

Limits follow the same arithmetic rules as real numbers. You can add, subtract, multiply, or divide limits (if the denominator isn't zero), and constants can be factored out. These properties simplify evaluating complex expressions involving limits.

AP Calculus AB: 2.1.3 The Formal Definition of a Limit

The formal definition of a limit uses ε (epsilon) and δ (delta) to precisely describe how a function approaches a value. It states that for every ε > 0, there exists a δ > 0 such that when x is within δ of c (but not equal to c), f(x) is within ε of the limit L.

AP Calculus AB: 2.1.2 Finding Limits Graphically

Finding limits graphically involves observing the y-value a function approaches as x gets close to a specific point from both sides. If the left and right sides approach the same value, the limit exists; if they differ, the limit does not exist.

AP Calculus AB: 2.1.1 Finding Rate of Change over an Interval

The rate of change measures how a function's output varies with changes in input over an interval, often approximated by the average rate of change. Using position functions, it helps analyze motion by calculating how location changes over time.

AP Calculus AB: Chapter 1 Test

This content focuses on applying geometric formulas (area of semicircles, triangles, and volume of cones) and understanding average rates of change in various real-world contexts, such as motion, sales trends, and growth models. It reinforces interpreting function notation, unit conversions, and est...

AP Calculus AB: Chapter 1 Practice Test

This content blends geometry and real-world rate problems, covering area and volume formulas (like those for semicircles, squares, and cones), and interpreting average rates of change from data and graphs. It includes practical examples involving speed, falling objects, and sales data to strengthen ...

AP Calculus AB: 1.2.3 Parabolas

This content introduces parabolas as the graphs of second-degree polynomial functions, explaining how coefficients affect their direction, width, and position. It also covers simplifying expressions, handling undefined points, and using the distance formula derived from the Pythagorean theorem to ca...

AP Calculus AB: 1.2.2 Graphing Lines

This content covers the fundamentals of graphing linear equations using slope-intercept and point-slope forms. It explains how to calculate slope, determine y-intercepts, and write equations of lines through given points. The section also includes concepts like parallel and perpendicular lines and a...

AP Calculus AB: 1.2.1 Functions

This content introduces the concept of functions as mathematical machines that map each input to exactly one output. It covers function notation, how to evaluate functions for numbers and expressions, and provides examples using equations and graphs to reinforce the concept.

AP Calculus AB: 1.1.3 Average Rates of Change

This content explains the concept of average rate of change using the Greek letter delta (Δ) to represent changes in variables, illustrated with real-world examples like population growth, velocity, and weight loss. It also introduces the challenge of finding instantaneous rates of change, highlight...

AP Calculus AB: 1.1.2 The Two Questions of Calculus

This flashcard set introduces the two central problems calculus aims to solve: finding instantaneous rates of change (differential calculus) and determining areas under curves (integral calculus). It explains how these concepts extend basic rate and area ideas, forming the foundation of modern calcu...

Showing 161 to 200 of 2307 results

Mathematicsacademic

Resource Type

Document Type

Solution Manual for Mathematics in Action: An Introduction to Algebraic, Graphical, and Numerical Problem Solving, 6th Edition

Solution Manual for Algebra and Trigonometry, 5th Edition

Solution Manual for Calculus and Its Applications, 14th Edition

Solution Manual for Business Mathematics, 14th Edition

Solution Manual for Mathematical Modeling, 4th Edition

Solution Manual for Differential Equations and Linear Algebra, 4th Edition

Solution Manual for A Survey of Mathematics with Applications, 11th Edition

Multivariable Calculus, 7th Edition Solution Manual

Solution Manual for Elementary and Intermediate Algebra Functions and Authentic Applications, 2nd Edition

Solution Manual for Developmental Mathematics with Applications and Visualization: Prealgebra, Beginning Algebra, and Intermediate Algebra, 2nd Edition

Solution Manual for Biocalculus: Calculus, Probability, and Statistics for the Life Sciences, 1st Edition

Solution Manual for Numerical Analysis, 3rd Edition

Solution Manual for Technical Calculus With Analytic Geometry , 4th Edition

Solution Manual for Finite Mathematics with Applications In the Management, Natural, and Social Sciences, 12th Edition

Solution Manual for Calculus Early Transcendentals, 3rd Edition

Solution Manual For Single Variable Calculus, 8th Edition

Solution Manual for Basic Technical Mathematics, 11th Edition

Solution Manual for College Algebra, 7th Edition

Solution Manual for College Algebra, 12th Edition

Solution Manual for Algebra and Trigonometry: Graphs and Models, 6th Edition

Solution Manual for College Algebra and Trigonometry, 4th Edition

Solution Manual for Beginning and Intermediate Algebra, 7th Edition

Solution Manual for Linear Algebra and Its Applications, 5th Edition

Solution Manual for Thinking Mathematically, 7th Edition

Solution Manual for Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition

Solution Manual For Elementary Geometry for College Students, 7th Edition

Solution Manual for Beginning Algebra, 9th Edition

Solution Manual For Fundamentals of Logic Design, 7th Edition

Solution Manual For Numerical Methods Using Matlab, 4th Edition

Solution Manual for College Algebra, 3rd Edition

Solution Manual for Contemporary Abstract Algebra, 9th Edition

Solution Manual for Beginning Algebra with Applications and Visualization, 3rd Edition

A First Course in Probability, 10th Edition Solution Manual

All Practical Purposes: Mathematical Literacy in Today's World Tenth Edition Solution Manual

Solution Manual for Linear Algebra, 6th Edition

Solution Manual for Algebra for College Students, 9th Edition

Solution Manual for Developmental Mathematics: College Mathematics and Introductory Algebra, 10th Edition

Solution Manual for Basic College Mathematics, 6th Edition

Solution Manual for Optimization in Operations Research, 2nd Edition

Prealgebra and Introductory Algebra 1st Edition Solution Manual