 14.2.1: Supply the missing integrand and limits of integration.(a) 51 y/226...
 14.2.2: Let R be the triangular region in the xyplane with vertices(0, 0),...
 14.2.3: Let R be the triangular region in the xyplane with vertices(0, 0),...
 14.2.4: The line y = 2 x and the parabola y = x2 intersect at thepoints (2,...
 14.2.5: 18 Evaluate the iterated integral. 2 x30sin yx dy dx 6.
 14.2.6: 18 Evaluate the iterated integral. 11 x2x2(x2 y) dy dx7
 14.2.7: 18 Evaluate the iterated integral. 10 x0yx2 y2 dy dx 8.
 14.2.8: 18 Evaluate the iterated integral. 21 y20ex/y2dx dyF
 14.2.9: Let R be the region shown in the accompanying figure.Fill in the mi...
 14.2.10: Let R be the region shown in the accompanying figure.Fill in the mi...
 14.2.11: Let R be the region shown in the accompanying figure.Fill in the mi...
 14.2.12: Let R be the region shown in the accompanying figure.Fill in the mi...
 14.2.13: Evaluate xy dA. where R is the region in.(a) Exercise 9 (b) Exercis...
 14.2.14: Evaluate R(x + y) dA, where R is the region in(a) Exercise 10 (b) E...
 14.2.15: 1518 Evaluate the double integral in two ways using iteratedintegra...
 14.2.16: 1518 Evaluate the double integral in two ways using iteratedintegra...
 14.2.17: 1518 Evaluate the double integral in two ways using iteratedintegra...
 14.2.18: 1518 Evaluate the double integral in two ways using iteratedintegra...
 14.2.19: 1924 Evaluate the double integral. Rx(1 + y2)1/2 dA; R is the regio...
 14.2.20: 1924 Evaluate the double integral. Rx cos y dA; R is the triangular...
 14.2.21: 1924 Evaluate the double integral. Rxy dA; R is the region enclosed...
 14.2.22: 1924 Evaluate the double integral. Rx dA; R is the region enclosed ...
 14.2.23: 1924 Evaluate the double integral. R(x 1) dA; R is the region in th...
 14.2.24: 1924 Evaluate the double integral. Rx2 dA; R is the region in the f...
 14.2.25: Evaluate Rsin(y3) dA, where R is the region boundedby y = x, y = 2,...
 14.2.26: Evaluate Rx dA, where R is the region bounded byx = ln y, x = 0, an...
 14.2.27: (a) By hand or with the help of a graphing utility, makea sketch of...
 14.2.28: (a) By hand or with the help of a graphing utility, makea sketch of...
 14.2.29: 2932 Use double integration to find the area of the plane regionenc...
 14.2.30: 2932 Use double integration to find the area of the plane regionenc...
 14.2.31: 2932 Use double integration to find the area of the plane regionenc...
 14.2.32: 2932 Use double integration to find the area of the plane regionenc...
 14.2.33: 3336 TrueFalse Determine whether the statement is true orfalse. Exp...
 14.2.34: 3336 TrueFalse Determine whether the statement is true orfalse. Exp...
 14.2.35: 3336 TrueFalse Determine whether the statement is true orfalse. Exp...
 14.2.36: 3336 TrueFalse Determine whether the statement is true orfalse. Exp...
 14.2.37: 3738 Use double integration to find the volume of the solid.37
 14.2.38: 3738 Use double integration to find the volume of the solid.38
 14.2.39: 3944 Use double integration to find the volume of each solid. The s...
 14.2.40: 3944 Use double integration to find the volume of each solid. The s...
 14.2.41: 3944 Use double integration to find the volume of each solid. The s...
 14.2.42: 3944 Use double integration to find the volume of each solid. The s...
 14.2.43: 3944 Use double integration to find the volume of each solid. The w...
 14.2.44: 3944 Use double integration to find the volume of each solid. The s...
 14.2.45: 4546 Use a double integral and a CAS to find the volume of the soli...
 14.2.46: 4546 Use a double integral and a CAS to find the volume of the soli...
 14.2.47: 4752 Express the integral as an equivalent integral with theorder o...
 14.2.48: 4752 Express the integral as an equivalent integral with theorder o...
 14.2.49: 4752 Express the integral as an equivalent integral with theorder o...
 14.2.50: 4752 Express the integral as an equivalent integral with theorder o...
 14.2.51: 4752 Express the integral as an equivalent integral with theorder o...
 14.2.52: 4752 Express the integral as an equivalent integral with theorder o...
 14.2.53: 5356 Evaluate the integral by first reversing the order of integrat...
 14.2.54: 5356 Evaluate the integral by first reversing the order of integrat...
 14.2.55: 5356 Evaluate the integral by first reversing the order of integrat...
 14.2.56: 5356 Evaluate the integral by first reversing the order of integrat...
 14.2.57: Try to evaluate the integral with a CAS using the stated orderof in...
 14.2.58: Use the appropriate Wallis formula (see Exercise Set 7.3)to find th...
 14.2.59: Evaluate Rxy2 dA over the region R shown in the accompanyingfigure.x
 14.2.60: Give a geometric argument to show that 10 1y20 1 x2 y2 dx dy = 6
 14.2.61: 6162 The average value or mean value of a continuous functionf(x, y...
 14.2.62: 6162 The average value or mean value of a continuous functionf(x, y...
 14.2.63: Suppose that the temperature in degrees Celsius at a point(x, y) on...
 14.2.64: A circular lens of radius 2 inches has thickness 1 (r2/4)inches at ...
 14.2.65: Use a CAS to approximate the intersections of the curvesy = sin x a...
 14.2.66: Writing Describe the steps you would follow to find thelimits of in...
 14.2.67: Writing Describe the steps you would follow to reverse theorder of ...
Solutions for Chapter 14.2: DOUBLE INTEGRALS OVER NONRECTANGULAR REGIONS
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Solutions for Chapter 14.2: DOUBLE INTEGRALS OVER NONRECTANGULAR REGIONS
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 14.2: DOUBLE INTEGRALS OVER NONRECTANGULAR REGIONS includes 67 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 67 problems in chapter 14.2: DOUBLE INTEGRALS OVER NONRECTANGULAR REGIONS have been answered, more than 41881 students have viewed full stepbystep solutions from this chapter.

Distributive property
a(b + c) = ab + ac and related properties

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

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

Index of summation
See Summation notation.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Interval
Connected subset of the real number line with at least two points, p. 4.

Modulus
See Absolute value of a complex number.

Multiplicative inverse of a real number
The reciprocal of b, or 1/b, b Z 0

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

Pascal’s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

Projectile motion
The movement of an object that is subject only to the force of gravity

Resolving a vector
Finding the horizontal and vertical components of a vector.

Solve by substitution
Method for solving systems of linear equations.

Stem
The initial digit or digits of a number in a stemplot.

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

System
A set of equations or inequalities.

Ymax
The yvalue of the top of the viewing window.

zaxis
Usually the third dimension in Cartesian space.