 14.2.1: Approximation In Exercises 1 4, approximate the integralby dividing...
 14.2.2: Approximation In Exercises 1 4, approximate the integralby dividing...
 14.2.3: Approximation In Exercises 1 4, approximate the integralby dividing...
 14.2.4: Approximation In Exercises 1 4, approximate the integralby dividing...
 14.2.5: Approximation The table shows values of a function over asquare reg...
 14.2.6: Approximation The figure shows the level curves for a functionover ...
 14.2.7: In Exercises 712, sketch the region and evaluate the iteratedintegr...
 14.2.8: In Exercises 712, sketch the region and evaluate the iteratedintegr...
 14.2.9: In Exercises 712, sketch the region and evaluate the iteratedintegr...
 14.2.10: In Exercises 712, sketch the region and evaluate the iteratedintegr...
 14.2.11: In Exercises 712, sketch the region and evaluate the iteratedintegr...
 14.2.12: In Exercises 712, sketch the region and evaluate the iteratedintegr...
 14.2.13: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.14: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.15: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.16: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.17: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.18: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.19: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.20: In Exercises 1320, set up integrals for both orders of integration,...
 14.2.21: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.22: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.23: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.24: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.25: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.26: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.27: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.28: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.29: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.30: In Exercises 2130, use a double integral to find the volume ofthe i...
 14.2.31: In Exercises 31 and 32, use a computer algebra system to findthe vo...
 14.2.32: In Exercises 31 and 32, use a computer algebra system to findthe vo...
 14.2.33: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.34: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.35: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.36: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.37: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.38: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.39: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.40: In Exercises 3340, set up and evaluate a double integral to findthe...
 14.2.41: In Exercises 4146, set up a double integral to find the volumeof th...
 14.2.42: In Exercises 4146, set up a double integral to find the volumeof th...
 14.2.43: In Exercises 4146, set up a double integral to find the volumeof th...
 14.2.44: In Exercises 4146, set up a double integral to find the volumeof th...
 14.2.45: In Exercises 4146, set up a double integral to find the volumeof th...
 14.2.46: In Exercises 4146, set up a double integral to find the volumeof th...
 14.2.47: In Exercises 4750, use a computer algebra system to find thevolume ...
 14.2.48: In Exercises 4750, use a computer algebra system to find thevolume ...
 14.2.49: In Exercises 4750, use a computer algebra system to find thevolume ...
 14.2.50: In Exercises 4750, use a computer algebra system to find thevolume ...
 14.2.51: If is a continuous function such that 0 f x, y 1 over a region of a...
 14.2.52: Find the volume of the solid in the first octant bounded by thecoor...
 14.2.53: In Exercises 5358, sketch the region of integration. Thenevaluate t...
 14.2.54: In Exercises 5358, sketch the region of integration. Thenevaluate t...
 14.2.55: In Exercises 5358, sketch the region of integration. Thenevaluate t...
 14.2.56: In Exercises 5358, sketch the region of integration. Thenevaluate t...
 14.2.57: In Exercises 5358, sketch the region of integration. Thenevaluate t...
 14.2.58: In Exercises 5358, sketch the region of integration. Thenevaluate t...
 14.2.59: Average Value In Exercises 59 64, find the average value of f x, y ...
 14.2.60: Average Value In Exercises 59 64, find the average value of f x, y ...
 14.2.61: Average Value In Exercises 59 64, find the average value of f x, y ...
 14.2.62: Average Value In Exercises 59 64, find the average value of f x, y ...
 14.2.63: Average Value In Exercises 59 64, find the average value of f x, y ...
 14.2.64: Average Value In Exercises 59 64, find the average value of f x, y ...
 14.2.65: Average Production The CobbDouglas production functionfor an autom...
 14.2.66: Average Temperature The temperature in degrees Celsius onthe surfac...
 14.2.67: State the definition of a double integral. If the integrand isa non...
 14.2.68: Let be a region in the plane whose area is Iffor every point in wha...
 14.2.69: Let represent a county in the northern part of the UnitedStates, an...
 14.2.70: Identify the expression that is invalid. Explain yourreasoning.
 14.2.71: Let the plane region be a unit circle and let the maximumvalue of o...
 14.2.72: The following iterated integrals represent the solution to thesame ...
 14.2.73: Probability A joint density function of the continuous randomvariab...
 14.2.74: Probability A joint density function of the continuous randomvariab...
 14.2.75: Probability A joint density function of the continuous randomvariab...
 14.2.76: Probability A joint density function of the continuous randomvariab...
 14.2.77: Approximation The base of a pile of sand at a cement plant isrectan...
 14.2.78: Programming Consider a continuous function overthe rectangular regi...
 14.2.79: In Exercises 7982, (a) use a computer algebrasystem to approximate ...
 14.2.80: In Exercises 7982, (a) use a computer algebrasystem to approximate ...
 14.2.81: In Exercises 7982, (a) use a computer algebrasystem to approximate ...
 14.2.82: In Exercises 7982, (a) use a computer algebrasystem to approximate ...
 14.2.83: Approximation In Exercises 83 and 84, determine which valuebest app...
 14.2.84: Approximation In Exercises 83 and 84, determine which valuebest app...
 14.2.85: True or False? In Exercises 85 and 86, determine whether thestateme...
 14.2.86: True or False? In Exercises 85 and 86, determine whether thestateme...
 14.2.87: Let Find the average value of on the interval
 14.2.88: Find exy dy. 0ex e2xxdx.
 14.2.89: Determine the region in the plane that maximizes the value of R 9 ...
 14.2.90: Determine the region in the plane that minimizes thevalue of R x2 ...
 14.2.91: Find (Hint: Convert the integralto a double integral.)
 14.2.92: Use a geometric argument to show that
 14.2.93: Evaluate where and arepositive.
 14.2.94: Show that if there does not exist a realvalued functionsuch that f...
Solutions for Chapter 14.2: Double Integrals and Volume
Full solutions for Calculus  9th Edition
ISBN: 9780547167022
Solutions for Chapter 14.2: Double Integrals and Volume
Get Full SolutionsSince 94 problems in chapter 14.2: Double Integrals and Volume have been answered, more than 63820 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus , edition: 9. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780547167022. Chapter 14.2: Double Integrals and Volume includes 94 full stepbystep solutions.

Absolute value of a complex number
The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

Commutative properties
a + b = b + a ab = ba

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

Equal matrices
Matrices that have the same order and equal corresponding elements.

Focal length of a parabola
The directed distance from the vertex to the focus.

Identity matrix
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

Inverse sine function
The function y = sin1 x

Irrational zeros
Zeros of a function that are irrational numbers.

Logarithmic regression
See Natural logarithmic regression

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

Multiplicative inverse of a matrix
See Inverse of a matrix

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

Periodic function
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

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

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Real zeros
Zeros of a function that are real numbers.

Square matrix
A matrix whose number of rows equals the number of columns.

Xmin
The xvalue of the left side of the viewing window,.

Zoom out
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).