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# Solutions for Chapter 8.5: Partial Fractions ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 8.5: Partial Fractions

Solutions for Chapter 8.5
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##### ISBN: 9780618502981

Chapter 8.5: Partial Fractions includes 66 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Since 66 problems in chapter 8.5: Partial Fractions have been answered, more than 78362 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Cosecant

The function y = csc x

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Finite series

Sum of a finite number of terms.

• Geometric series

A series whose terms form a geometric sequence.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Independent variable

Variable representing the domain value of a function (usually x).

• Matrix element

Any of the real numbers in a matrix

• nth root

See Principal nth root

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Polar equation

An equation in r and ?.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

An angle in standard position whose terminal side lies on an axis.

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Standard deviation

A measure of how a data set is spread

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

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