 91.1: Find the approximate volume of the solid in Figure 91a by numerica...
 91.2: Let f(x) = x sin x. Use the derivative of a product formula to find...
 91.3: Multiply both sides of the equation for (x) in by dx. Then integrat...
 91.4: The integral x cos x dx should be one term in the equation of 3. Us...
 91.5: Use the result of to find the exact volume of the solid in Figure 9...
 91.6: Find a decimal approximation for the exact volume in 5. How close d...
 91.7: The technique of this exercise is called integration by parts. Why ...
Solutions for Chapter 91: Introduction to the Integral of a Product of Two Functions
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 91: Introduction to the Integral of a Product of Two Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Chapter 91: Introduction to the Integral of a Product of Two Functions includes 7 full stepbystep 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 91: Introduction to the Integral of a Product of Two Functions have been answered, more than 8060 students have viewed full stepbystep solutions from this chapter.

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 = cos1 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.

Pseudorandom numbers
Computergenerated 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 realnumber values to the outcomes in a sample space.

Reexpression 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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