 14.2.1: Approximation In Exercises 14, approximate the integral by dividing...
 14.2.2: Approximation In Exercises 14, approximate the integral by dividing...
 14.2.3: Approximation In Exercises 14, approximate the integral by dividing...
 14.2.4: Approximation In Exercises 14, approximate the integral by dividing...
 14.2.5: Evaluating a Double Integral In Exercises 510, sketch the region an...
 14.2.6: Evaluating a Double Integral In Exercises 510, sketch the region an...
 14.2.7: Evaluating a Double Integral In Exercises 510, sketch the region an...
 14.2.8: Evaluating a Double Integral In Exercises 510, sketch the region an...
 14.2.9: Evaluating a Double Integral In Exercises 510, sketch the region an...
 14.2.10: Evaluating a Double Integral In Exercises 510, sketch the region an...
 14.2.11: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.12: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.13: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.14: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.15: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.16: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.17: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.18: Evaluating a Double Integral In Exercises 1118, set up integrals fo...
 14.2.19: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.20: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.21: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.22: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.23: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.24: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.25: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.26: Finding Volume In Exercises 1926, use a double integral to find the...
 14.2.27: Finding Volume In Exercises 2732, set up and evaluate a double inte...
 14.2.28: Finding Volume In Exercises 2732, set up and evaluate a double inte...
 14.2.29: Finding Volume In Exercises 2732, set up and evaluate a double inte...
 14.2.30: Finding Volume In Exercises 2732, set up and evaluate a double inte...
 14.2.31: Finding Volume In Exercises 2732, set up and evaluate a double inte...
 14.2.32: Finding Volume In Exercises 2732, set up and evaluate a double inte...
 14.2.33: Volume of a Region Bounded by Two Surfaces In Exercises 3338, set u...
 14.2.34: Volume of a Region Bounded by Two Surfaces In Exercises 3338, set u...
 14.2.35: Volume of a Region Bounded by Two Surfaces In Exercises 3338, set u...
 14.2.36: Volume of a Region Bounded by Two Surfaces In Exercises 3338, set u...
 14.2.37: Volume of a Region Bounded by Two Surfaces In Exercises 3338, set u...
 14.2.38: Volume of a Region Bounded by Two Surfaces In Exercises 3338, set u...
 14.2.39: Finding Volume Using Technology In Exercises 3942, use a computer a...
 14.2.40: Finding Volume Using Technology In Exercises 3942, use a computer a...
 14.2.41: Finding Volume Using Technology In Exercises 3942, use a computer a...
 14.2.42: Finding Volume Using Technology In Exercises 3942, use a computer a...
 14.2.43: Proof Let be a continuous function such that over a region of area ...
 14.2.44: Finding Volume Find the volume of the solid in the first octant bou...
 14.2.45: Evaluating an Iterated Integral In Exercises 4550, sketch the regio...
 14.2.46: Evaluating an Iterated Integral In Exercises 4550, sketch the regio...
 14.2.47: Evaluating an Iterated Integral In Exercises 4550, sketch the regio...
 14.2.48: Evaluating an Iterated Integral In Exercises 4550, sketch the regio...
 14.2.49: Evaluating an Iterated Integral In Exercises 4550, sketch the regio...
 14.2.50: Evaluating an Iterated Integral In Exercises 4550, sketch the regio...
 14.2.51: Average Value In Exercises 5156, find the average value of over the...
 14.2.52: Average Value In Exercises 5156, find the average value of over the...
 14.2.53: Average Value In Exercises 5156, find the average value of over the...
 14.2.54: Average Value In Exercises 5156, find the average value of over the...
 14.2.55: Average Value In Exercises 5156, find the average value of over the...
 14.2.56: Average Value In Exercises 5156, find the average value of over the...
 14.2.57: Average Production The CobbDouglas production function for an auto...
 14.2.58: Average Temperature The temperature in degrees Celsius on the surfa...
 14.2.59: Double Integral State the definition of a double integral. When the...
 14.2.60: Volume Let be a region in the plane whose area is When for every po...
 14.2.61: Volume Let the plane region be a unit circle and let the maximum va...
 14.2.62: Comparing Iterated Integrals The following iterated integrals repre...
 14.2.63: Probability A joint density function of the continuous random varia...
 14.2.64: Probability A joint density function of the continuous random varia...
 14.2.65: Probability A joint density function of the continuous random varia...
 14.2.66: Probability A joint density function of the continuous random varia...
 14.2.67: Approximation The table shows values of a function over a square re...
 14.2.68: HOW DO YOU SEE IT? The figure below shows Erie County, New York. Le...
 14.2.69: The volume of the sphere is given by the integral
 14.2.70: If for all in and both and are continuous over then
 14.2.71: Maximizing a Double Integral Determine the region in the plane tha...
 14.2.72: Minimizing a Double Integral Determine the region in the plane tha...
 14.2.73: Average Value Let Find the average value of on the interval
 14.2.74: Using Geometry Use a geometric argument to show that
 14.2.75: Evaluate where and are positive.
 14.2.76: Show that if there does not exist a realvalued function such that ...
Solutions for Chapter 14.2: Double Integrals and Volume
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 14.2: Double Integrals and Volume
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Since 76 problems in chapter 14.2: Double Integrals and Volume have been answered, more than 43702 students have viewed full stepbystep solutions from this chapter. Chapter 14.2: Double Integrals and Volume includes 76 full stepbystep solutions.

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)

Addition property of inequality
If u < v , then u + w < v + w

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Inequality symbol or
<,>,<,>.

Intercepted arc
Arc of a circle between the initial side and terminal side of a central angle.

Interval notation
Notation used to specify intervals, pp. 4, 5.

Inverse properties
a + 1a2 = 0, a # 1a

kth term of a sequence
The kth expression in the sequence

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Negative numbers
Real numbers shown to the left of the origin on a number line.

Parameter
See Parametric equations.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

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

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Reflection across the xaxis
x, y and (x,y) are reflections of each other across the xaxis.

Repeated zeros
Zeros of multiplicity ? 2 (see Multiplicity).

Replication
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

Tree diagram
A visualization of the Multiplication Principle of Probability.