 15.9.1: 12 Plot the point whose spherical coordinates are given. Then find ...
 15.9.2: 12 Plot the point whose spherical coordinates are given. Then find ...
 15.9.3: 34 Change from rectangular to spherical coordinates.0, 2, 0 (1, 1, ...
 15.9.4: 34 Change from rectangular to spherical coordinates.(1, 0, s3 ) (s3...
 15.9.5: 56 Describe in words the surface whose equation is given. 3
 15.9.6: 56 Describe in words the surface whose equation is given. 3
 15.9.7: 78 Identify the surface whose equation is given. sin sin
 15.9.8: 78 Identify the surface whose equation is given.2 sin2 sin2 cos2 99
 15.9.9: 910 Write the equation in spherical coordinates.x 2 z z 2 9 2 x 2 y...
 15.9.10: 910 Write the equation in spherical coordinates.x 2 2x y 2 z 2 0 x ...
 15.9.11: 1114 Sketch the solid described by the given inequalities.2 4 0 3 0
 15.9.12: 1114 Sketch the solid described by the given inequalities.1 2 0 2 2 32
 15.9.13: 1114 Sketch the solid described by the given inequalities. 1 34
 15.9.14: 1114 Sketch the solid described by the given inequalities. 2 csc
 15.9.15: A solid lies above the cone and below the sphere . Write a descript...
 15.9.16: (a) Find inequalities that describe a hollow ball with diameter 30 ...
 15.9.17: 1718 Sketch the solid whose volume is given by the integral and eva...
 15.9.18: 1718 Sketch the solid whose volume is given by the integral and eva...
 15.9.19: 1920 Set up the triple integral of an arbitrary continuous function...
 15.9.20: 1920 Set up the triple integral of an arbitrary continuous function...
 15.9.21: 2134 Use spherical coordinates.Evaluate , where is the ball withcen...
 15.9.22: 2134 Use spherical coordinates.Evaluate , where is the solidhemisphere
 15.9.23: 2134 Use spherical coordinates.Evaluate , where lies between the sp...
 15.9.24: 2134 Use spherical coordinates.Evaluate , where is the solid hemisp...
 15.9.25: 2134 Use spherical coordinates.Evaluate , where is the portion of t...
 15.9.26: 2134 Use spherical coordinates.Evaluate , where lies between the sp...
 15.9.27: 2134 Use spherical coordinates.Find the volume of the part of the b...
 15.9.28: 2134 Use spherical coordinates.Find the average distance from a poi...
 15.9.29: 2134 Use spherical coordinates.(a) Find the volume of the solid tha...
 15.9.30: 2134 Use spherical coordinates.Find the volume of the solid that li...
 15.9.31: 2134 Use spherical coordinates.(a) Find the centroid of the solid i...
 15.9.32: 2134 Use spherical coordinates.Let be a solid hemisphere of radius ...
 15.9.33: 2134 Use spherical coordinates.(a) Find the centroid of a solid hom...
 15.9.34: 2134 Use spherical coordinates.Find the mass and center of mass of ...
 15.9.35: 3538 Use cylindrical or spherical coordinates, whichever seems more...
 15.9.36: 3538 Use cylindrical or spherical coordinates, whichever seems more...
 15.9.37: 3538 Use cylindrical or spherical coordinates, whichever seems more...
 15.9.38: 3538 Use cylindrical or spherical coordinates, whichever seems more...
 15.9.39: 39 41 Evaluate the integral by changing to spherical coordinates.y1...
 15.9.40: 39 41 Evaluate the integral by changing to spherical coordinates.ya...
 15.9.41: 39 41 Evaluate the integral by changing to spherical coordinates.y2...
 15.9.42: A model for the density of the earths atmosphere near its surface i...
 15.9.43: Use a graphing device to draw a silo consisting of a cylinder with ...
 15.9.44: The latitude and longitude of a point in the Northern Hemisphere ar...
 15.9.45: The surfaces have been used as models for tumors. The bumpy sphere ...
 15.9.46: Show that (The improper triple integral is defined as the limit of ...
 15.9.47: (a) Use cylindrical coordinates to show that the volume of the soli...
Solutions for Chapter 15.9: Triple Integrals in Spherical Coordinates
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 15.9: Triple Integrals in Spherical Coordinates
Get Full SolutionsSince 47 problems in chapter 15.9: Triple Integrals in Spherical Coordinates have been answered, more than 33466 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15.9: Triple Integrals in Spherical Coordinates includes 47 full stepbystep solutions.

Arc length formula
The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

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

Compounded monthly
See Compounded k times per year.

Dependent variable
Variable representing the range value of a function (usually y)

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Frequency table (in statistics)
A table showing frequencies.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

Implied domain
The domain of a function’s algebraic expression.

Independent variable
Variable representing the domain value of a function (usually x).

Initial value of a function
ƒ 0.

Modified boxplot
A boxplot with the outliers removed.

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

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

Solution of a system in two variables
An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

Solve an equation or inequality
To find all solutions of the equation or inequality

Supply curve
p = ƒ(x), where x represents production and p represents price

Variation
See Power function.