 14.1: In Exercises 1 and 2, evaluate the integral. dxx21x ln y dy
 14.2: In Exercises 1 and 2, evaluate the integral.yyx2 y2 dx
 14.3: In Exercises 36, evaluate the iterated integral. Change the coordin...
 14.4: In Exercises 36, evaluate the iterated integral. Change the coordin...
 14.5: In Exercises 36, evaluate the iterated integral. Change the coordin...
 14.6: In Exercises 36, evaluate the iterated integral. Change the coordin...
 14.7: Area In Exercises 714, write the limits for the double integral for...
 14.8: Area In Exercises 714, write the limits for the double integral for...
 14.9: Area In Exercises 714, write the limits for the double integral for...
 14.10: Area In Exercises 714, write the limits for the double integral for...
 14.11: Area In Exercises 714, write the limits for the double integral for...
 14.12: Area In Exercises 714, write the limits for the double integral for...
 14.13: Area In Exercises 714, write the limits for the double integral for...
 14.14: Area In Exercises 714, write the limits for the double integral for...
 14.15: Think About It In Exercises 15 and 16, give a geometric argument fo...
 14.16: Think About It In Exercises 15 and 16, give a geometric argument fo...
 14.17: Volume In Exercises 17 and 18, use a multiple integral and a conven...
 14.18: Volume In Exercises 17 and 18, use a multiple integral and a conven...
 14.19: Approximation In Exercises 19 and 20, determine which value best ap...
 14.20: Approximation In Exercises 19 and 20, determine which value best ap...
 14.21: Probability In Exercises 21 and 22, find such that the function is ...
 14.22: Probability In Exercises 21 and 22, find such that the function is ...
 14.23: True or False? In Exercises 2326, determine whether the statement i...
 14.24: True or False? In Exercises 2326, determine whether the statement i...
 14.25: True or False? In Exercises 2326, determine whether the statement i...
 14.26: True or False? In Exercises 2326, determine whether the statement i...
 14.27: In Exercises 27 and 28, evaluate the iterated integral by convertin...
 14.28: In Exercises 27 and 28, evaluate the iterated integral by convertin...
 14.29: Volume In Exercises 29 and 30, use a multiple integral and a conven...
 14.30: Volume In Exercises 29 and 30, use a multiple integral and a conven...
 14.31: Consider the region in the plane bounded by the graph of the equati...
 14.32: Combine the sum of the two iterated integrals into a single iterate...
 14.33: Mass and Center of Mass In Exercises 33 and 34, find the mass and c...
 14.34: Mass and Center of Mass In Exercises 33 and 34, find the mass and c...
 14.35: In Exercises 35 and 36, find and for the lamina bounded by the grap...
 14.36: In Exercises 35 and 36, find and for the lamina bounded by the grap...
 14.37: Surface Area In Exercises 37 and 38, find the area of the surface g...
 14.38: Surface Area In Exercises 37 and 38, find the area of the surface g...
 14.39: Surface Area Find the area of the surface of the cylinder that lies...
 14.40: Surface Area The roof over the stage of an open air theater at a th...
 14.41: In Exercises 41 44, evaluate the iterated integral.
 14.42: In Exercises 41 44, evaluate the iterated integral.
 14.43: In Exercises 41 44, evaluate the iterated integral.
 14.44: In Exercises 41 44, evaluate the iterated integral.
 14.45: In Exercises 45 and 46, use a computer algebra system to evaluate t...
 14.46: In Exercises 45 and 46, use a computer algebra system to evaluate t...
 14.47: Volume In Exercises 47 and 48, use a multiple integral to find the ...
 14.48: Volume In Exercises 47 and 48, use a multiple integral to find the ...
 14.49: Center of Mass In Exercises 4952, find the center of mass of the so...
 14.50: Center of Mass In Exercises 4952, find the center of mass of the so...
 14.51: Center of Mass In Exercises 4952, find the center of mass of the so...
 14.52: Center of Mass In Exercises 4952, find the center of mass of the so...
 14.53: Moment of Inertia In Exercises 53 and 54, find the moment of inerti...
 14.54: Moment of Inertia In Exercises 53 and 54, find the moment of inerti...
 14.55: Investigation Consider a spherical segment of height from a sphere ...
 14.56: Moment of Inertia Find the moment of inertia about the axis of the ...
 14.57: In Exercises 57 and 58, give a geometric interpretation of the iter...
 14.58: In Exercises 57 and 58, give a geometric interpretation of the iter...
 14.59: In Exercises 59 and 60, find the Jacobian for the indicated change ...
 14.60: In Exercises 59 and 60, find the Jacobian for the indicated change ...
 14.61: In Exercises 61 and 62, use the indicated change of variables to ev...
 14.62: In Exercises 61 and 62, use the indicated change of variables to ev...
Solutions for Chapter 14: Multiple Integration
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 14: Multiple Integration
Get Full SolutionsSince 62 problems in chapter 14: Multiple Integration have been answered, more than 38948 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. Chapter 14: Multiple Integration includes 62 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Addition property of equality
If u = v and w = z , then u + w = v + z

Algebraic expression
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

Bias
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

Circle
A set of points in a plane equally distant from a fixed point called the center

Circle graph
A circular graphical display of categorical data

Compound interest
Interest that becomes part of the investment

Convenience sample
A sample that sacrifices randomness for convenience

Order of an m x n matrix
The order of an m x n matrix is m x n.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Right triangle
A triangle with a 90° angle.

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

Slope
Ratio change in y/change in x

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

Speed
The magnitude of the velocity vector, given by distance/time.

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.