 15.5.1: Electric charge is distributed over the rectangle , so that the cha...
 15.5.2: Electric charge is distributed over the disk so that the charge den...
 15.5.3: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.4: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.5: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.6: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.7: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.8: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.9: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.10: 310 Find the mass and center of mass of the lamina that occupies th...
 15.5.11: A lamina occupies the part of the disk in the firstquadrant. Find i...
 15.5.12: Find the center of mass of the lamina in Exercise 11 if the density...
 15.5.13: The boundary of a lamina consists of the semicircles and together w...
 15.5.14: Find the center of mass of the lamina in Exercise 13 if the density...
 15.5.15: Find the center of mass of a lamina in the shape of an isosceles ri...
 15.5.16: A lamina occupies the region inside the circle but outside the circ...
 15.5.17: Find the moments of inertia , , for the lamina of Exercise 7.
 15.5.18: Find the moments of inertia , , for the lamina of Exercise 12.
 15.5.19: Find the moments of inertia , , for the lamina of Exercise 15.
 15.5.20: Consider a square fan blade with sides of length 2 and the lower le...
 15.5.21: 2124 A lamina with constant density occupies the given region. Find...
 15.5.22: 2124 A lamina with constant density occupies the given region. Find...
 15.5.23: 2124 A lamina with constant density occupies the given region. Find...
 15.5.24: 2124 A lamina with constant density occupies the given region. Find...
 15.5.25: 2526 Use a computer algebra system to find the mass, center of mass...
 15.5.26: 2526 Use a computer algebra system to find the mass, center of mass...
 15.5.27: The joint density function for a pair of random variables and is (a...
 15.5.28: (a) Verify that is a joint density function. (b) If and are random ...
 15.5.29: Suppose and are random variables with joint density function (a) Ve...
 15.5.30: (a) A lamp has two bulbs of a type with an average lifetime of 1000...
 15.5.31: Suppose that and are independent random variables, where is normall...
 15.5.32: Xavier and Yolanda both have classes that end at noon and they agre...
 15.5.33: When studying the spread of an epidemic, we assume that the probabi...
Solutions for Chapter 15.5: Applications of Double Integrals
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 15.5: Applications of Double Integrals
Get Full SolutionsSince 33 problems in chapter 15.5: Applications of Double Integrals have been answered, more than 10445 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15.5: Applications of Double Integrals includes 33 full stepbystep solutions. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Composition of functions
(f ? g) (x) = f (g(x))

Descriptive statistics
The gathering and processing of numerical information

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Imaginary part of a complex number
See Complex number.

Magnitude of a real number
See Absolute value of a real number

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

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)

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Sum identity
An identity involving a trigonometric function of u + v

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

Zero matrix
A matrix consisting entirely of zeros.
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