 15.2.1: Find and .
 15.2.2: Find and .
 15.2.3: Calculate the iterated integral.
 15.2.4: Calculate the iterated integral.
 15.2.5: Calculate the iterated integral.
 15.2.6: Calculate the iterated integral.
 15.2.7: Calculate the iterated integral.
 15.2.8: Calculate the iterated integral.
 15.2.9: Calculate the iterated integral.
 15.2.10: Calculate the iterated integral.
 15.2.11: Calculate the iterated integral.
 15.2.12: Calculate the iterated integral.
 15.2.13: Calculate the double integral.
 15.2.14: Calculate the double integral.
 15.2.15: Calculate the double integral.
 15.2.16: Calculate the double integral.
 15.2.17: Calculate the double integral.
 15.2.18: Calculate the double integral.
 15.2.19: Calculate the double integral.
 15.2.20: Calculate the double integral.
 15.2.21: Sketch the solid whose volume is given by the iterated integral.
 15.2.22: Sketch the solid whose volume is given by the iterated integral.
 15.2.23: Find the volume of the solid that lies under the plane and above th...
 15.2.24: Find the volume of the solid that lies under the hyperbolic parabol...
 15.2.25: Find the volume of the solid lying under the elliptic CAS paraboloi...
 15.2.26: Find the volume of the solid enclosed by the surface and the planes...
 15.2.27: Find the volume of the solid bounded by the surface and the planes ...
 15.2.28: Find the volume of the solid bounded by the elliptic paraboloid , t...
 15.2.29: Find the volume of the solid in the first octant bounded by the cyl...
 15.2.30: (a) Find the volume of the solid bounded by the surface and the pla...
 15.2.31: Use a computer algebra system to find the exact value of the integr...
 15.2.32: Graph the solid that lies between the surfaces and for , . Use a co...
 15.2.33: Find the average value of over the given rectangle. f x, y x R 1, 0...
 15.2.34: Find the average value of over the given rectangle. f x, y e R 0, 4...
 15.2.35: Use your CAS to compute the iterated integrals Do the answers contr...
 15.2.36: (a) In what way are the theorems of Fubini and Clairaut similar? (b...
Solutions for Chapter 15.2: Iterated Integrals
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 15.2: Iterated Integrals
Get Full SolutionsChapter 15.2: Iterated Integrals includes 36 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 36 problems in chapter 15.2: Iterated Integrals have been answered, more than 47977 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397.

Absolute value of a vector
See Magnitude of a vector.

Addition principle of probability.
P(A or B) = P(A) + P(B)  P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

Conversion factor
A ratio equal to 1, used for unit conversion

Dependent event
An event whose probability depends on another event already occurring

Differentiable at x = a
ƒ'(a) exists

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Domain of a function
The set of all input values for a function

Elimination method
A method of solving a system of linear equations

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Horizontal Line Test
A test for determining whether the inverse of a relation is a function.

Leading coefficient
See Polynomial function in x

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2

Normal curve
The graph of ƒ(x) = ex2/2

Proportional
See Power function

Random behavior
Behavior that is determined only by the laws of probability.

Range of a function
The set of all output values corresponding to elements in the domain.

Secant
The function y = sec x.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.