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# Solutions for Chapter 9-1: Introduction to the Integral of a Product of Two Functions

## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547

Solutions for Chapter 9-1: Introduction to the Integral of a Product of Two Functions

Solutions for Chapter 9-1
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##### ISBN: 9781559536547

This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Chapter 9-1: Introduction to the Integral of a Product of Two Functions includes 7 full step-by-step solutions. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. This expansive textbook survival guide covers the following chapters and their solutions. Since 7 problems in chapter 9-1: Introduction to the Integral of a Product of Two Functions have been answered, more than 8060 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Finite series

Sum of a finite number of terms.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Inverse cosine function

The function y = cos-1 x

• Inverse variation

See Power function.

• Parametric curve

The graph of parametric equations.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Present value of an annuity T

he net amount of your money put into an annuity.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Re-expression of data

A transformation of a data set.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Scalar

A real number.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Union of two sets A and B

The set of all elements that belong to A or B or both.

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