 13.2.1: Describe and sketch a region that is bounded above and below by two...
 13.2.2: Describe and a sketch a region that is bounded on the left and on t...
 13.2.3: Which order of integration is preferable to integrate f 1x, y2 = xy...
 13.2.4: Which order of integration would you use to find the area of the re...
 13.2.5: Change the order of integration in the integral 1 1 0 1 1y y2 f 1x,...
 13.2.6: Sketch the region of integration for 1 2 21 4 x2 exy dy dx.
 13.2.7: 78. Regions of integration Consider the regions R shown in the figu...
 13.2.8: 78. Regions of integration Consider the regions R shown in the figu...
 13.2.9: 916. Regions of integration Sketch each region and write an iterate...
 13.2.10: 916. Regions of integration Sketch each region and write an iterate...
 13.2.11: 916. Regions of integration Sketch each region and write an iterate...
 13.2.12: 916. Regions of integration Sketch each region and write an iterate...
 13.2.13: 916. Regions of integration Sketch each region and write an iterate...
 13.2.14: 916. Regions of integration Sketch each region and write an iterate...
 13.2.15: 916. Regions of integration Sketch each region and write an iterate...
 13.2.16: 916. Regions of integration Sketch each region and write an iterate...
 13.2.17: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.18: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.19: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.20: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.21: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.22: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.23: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.24: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.25: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.26: 1726. Evaluating integrals Evaluate the following integrals as they...
 13.2.27: 2730. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.28: 2730. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.29: 2730. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.30: 2730. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.31: 3132. Regions of integration Write an iterated integral of a contin...
 13.2.32: 3132. Regions of integration Write an iterated integral of a contin...
 13.2.33: 3338. Regions of integration Sketch each region and write an iterat...
 13.2.34: 3338. Regions of integration Sketch each region and write an iterat...
 13.2.35: 3338. Regions of integration Sketch each region and write an iterat...
 13.2.36: 3338. Regions of integration Sketch each region and write an iterat...
 13.2.37: 3338. Regions of integration Sketch each region and write an iterat...
 13.2.38: 3338. Regions of integration Sketch each region and write an iterat...
 13.2.39: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.40: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.41: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.42: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.43: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.44: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.45: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.46: 3946. Evaluating integrals Evaluate the following integrals as they...
 13.2.47: 4752. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.48: 4752. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.49: 4752. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.50: 4752. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.51: 4752. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.52: 4752. Evaluating integrals Evaluate the following integrals. A sket...
 13.2.53: 5356. Volumes Use double integrals to calculate the volume of the f...
 13.2.54: 5356. Volumes Use double integrals to calculate the volume of the f...
 13.2.55: 5356. Volumes Use double integrals to calculate the volume of the f...
 13.2.56: 5356. Volumes Use double integrals to calculate the volume of the f...
 13.2.57: 5762. Changing order of integration Reverse the order of integratio...
 13.2.58: 5762. Changing order of integration Reverse the order of integratio...
 13.2.59: 5762. Changing order of integration Reverse the order of integratio...
 13.2.60: 5762. Changing order of integration Reverse the order of integratio...
 13.2.61: 5762. Changing order of integration Reverse the order of integratio...
 13.2.62: 5762. Changing order of integration Reverse the order of integratio...
 13.2.63: 6368. Changing order of integration The following integrals can be ...
 13.2.64: 6368. Changing order of integration The following integrals can be ...
 13.2.65: 6368. Changing order of integration The following integrals can be ...
 13.2.66: 6368. Changing order of integration The following integrals can be ...
 13.2.67: 6368. Changing order of integration The following integrals can be ...
 13.2.68: 6368. Changing order of integration The following integrals can be ...
 13.2.69: 6974. Regions between surfaces Find the volume of the following sol...
 13.2.70: 6974. Regions between surfaces Find the volume of the following sol...
 13.2.71: 6974. Regions between surfaces Find the volume of the following sol...
 13.2.72: 6974. Regions between surfaces Find the volume of the following sol...
 13.2.73: 6974. Regions between surfaces Find the volume of the following sol...
 13.2.74: 6974. Regions between surfaces Find the volume of the following sol...
 13.2.75: 7580. Area of plane regions Use double integrals to compute the are...
 13.2.76: 7580. Area of plane regions Use double integrals to compute the are...
 13.2.77: 7580. Area of plane regions Use double integrals to compute the are...
 13.2.78: 7580. Area of plane regions Use double integrals to compute the are...
 13.2.79: 7580. Area of plane regions Use double integrals to compute the are...
 13.2.80: 7580. Area of plane regions Use double integrals to compute the are...
 13.2.81: Explain why or why not Determine whether the following statements a...
 13.2.82: 8285. Miscellaneous integrals Evaluate the following integrals. OR ...
 13.2.83: 8285. Miscellaneous integrals Evaluate the following integrals. OR ...
 13.2.84: 8285. Miscellaneous integrals Evaluate the following integrals. OR ...
 13.2.85: 8285. Miscellaneous integrals Evaluate the following integrals. OR ...
 13.2.86: Paraboloid sliced by plane Find the volume of the solid between the...
 13.2.87: Two integrals to one Draw the regions of integration and write the ...
 13.2.88: Square region Consider the region R = 51x, y2: _ x _ + _ y _ 16 sho...
 13.2.89: 8990. Average value Use the definition for the average value of a f...
 13.2.90: 8990. Average value Use the definition for the average value of a f...
 13.2.91: 9192. Area integrals Consider the following regions R. a. Sketch th...
 13.2.92: 9192. Area integrals Consider the following regions R. a. Sketch th...
 13.2.93: 9396. Improper integrals Many improper double integrals may be hand...
 13.2.94: 9396. Improper integrals Many improper double integrals may be hand...
 13.2.95: 9396. Improper integrals Many improper double integrals may be hand...
 13.2.96: 9396. Improper integrals Many improper double integrals may be hand...
 13.2.97: 97101. Volumes Compute the volume of the following solids. Sliced b...
 13.2.98: 97101. Volumes Compute the volume of the following solids. Tetrahed...
 13.2.99: 97101. Volumes Compute the volume of the following solids. Square c...
 13.2.100: 97101. Volumes Compute the volume of the following solids. Wedge Th...
 13.2.101: 97101. Volumes Compute the volume of the following solids. Wedge Th...
 13.2.102: Existence of improper double integral For what values of m and n do...
 13.2.103: Existence of improper double integral Let R1 = 51x, y2: x 1, 1 y 26...
Solutions for Chapter 13.2: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 13.2
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Chapter 13.2 includes 103 full stepbystep solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Since 103 problems in chapter 13.2 have been answered, more than 61097 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a vector
See Magnitude of a vector.

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

DMS measure
The measure of an angle in degrees, minutes, and seconds

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Linear system
A system of linear equations

Logarithmic regression
See Natural logarithmic regression

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

Modulus
See Absolute value of a complex number.

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

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)

Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

Slant asymptote
An end behavior asymptote that is a slant line

Time plot
A line graph in which time is measured on the horizontal axis.

yzplane
The points (0, y, z) in Cartesian space.

Zero vector
The vector <0,0> or <0,0,0>.