 11.7.1: In Exercises 16, convert the point from cylindrical coordinates to ...
 11.7.2: In Exercises 16, convert the point from cylindrical coordinates to ...
 11.7.3: In Exercises 16, convert the point from cylindrical coordinates to ...
 11.7.4: In Exercises 16, convert the point from cylindrical coordinates to ...
 11.7.5: In Exercises 16, convert the point from cylindrical coordinates to ...
 11.7.6: In Exercises 16, convert the point from cylindrical coordinates to ...
 11.7.7: In Exercises 712, convert the point from rectangular coordinates to...
 11.7.8: In Exercises 712, convert the point from rectangular coordinates to...
 11.7.9: In Exercises 712, convert the point from rectangular coordinates to...
 11.7.10: In Exercises 712, convert the point from rectangular coordinates to...
 11.7.11: In Exercises 712, convert the point from rectangular coordinates to...
 11.7.12: In Exercises 712, convert the point from rectangular coordinates to...
 11.7.13: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.14: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.15: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.16: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.17: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.18: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.19: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.20: In Exercises 1320, find an equation in cylindrical coordinates for ...
 11.7.21: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.22: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.23: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.24: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.25: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.26: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.27: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.28: In Exercises 2128, find an equation in rectangular coordinates for ...
 11.7.29: In Exercises 2934, convert the point from rectangular coordinates t...
 11.7.30: In Exercises 2934, convert the point from rectangular coordinates t...
 11.7.31: In Exercises 2934, convert the point from rectangular coordinates t...
 11.7.32: In Exercises 2934, convert the point from rectangular coordinates t...
 11.7.33: In Exercises 2934, convert the point from rectangular coordinates t...
 11.7.34: In Exercises 2934, convert the point from rectangular coordinates t...
 11.7.35: In Exercises 3540, convert the point from spherical coordinates to ...
 11.7.36: In Exercises 3540, convert the point from spherical coordinates to ...
 11.7.37: In Exercises 3540, convert the point from spherical coordinates to ...
 11.7.38: In Exercises 3540, convert the point from spherical coordinates to ...
 11.7.39: In Exercises 3540, convert the point from spherical coordinates to ...
 11.7.40: In Exercises 3540, convert the point from spherical coordinates to ...
 11.7.41: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.42: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.43: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.44: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.45: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.46: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.47: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.48: In Exercises 4148, find an equation in spherical coordinates for th...
 11.7.49: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.50: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.51: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.52: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.53: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.54: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.55: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.56: In Exercises 4956, find an equation in rectangular coordinates for ...
 11.7.57: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.58: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.59: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.60: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.61: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.62: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.63: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.64: In Exercises 5764, convert the point from cylindrical coordinates t...
 11.7.65: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.66: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.67: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.68: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.69: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.70: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.71: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.72: In Exercises 6572, convert the point from spherical coordinates to ...
 11.7.73: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.74: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.75: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.76: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.77: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.78: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.79: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.80: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.81: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.82: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.83: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.84: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.85: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.86: In Exercises 7386, use a computer algebra system or graphing utilit...
 11.7.87: In Exercises 8792, match the equation (written in terms of cylindri...
 11.7.88: In Exercises 8792, match the equation (written in terms of cylindri...
 11.7.89: In Exercises 8792, match the equation (written in terms of cylindri...
 11.7.90: In Exercises 8792, match the equation (written in terms of cylindri...
 11.7.91: In Exercises 8792, match the equation (written in terms of cylindri...
 11.7.92: In Exercises 8792, match the equation (written in terms of cylindri...
 11.7.93: Give the equations for the coordinate conversion from rectangular t...
 11.7.94: For constants and describe the graphs of the equations and in cylin...
 11.7.95: Give the equations for the coordinate conversion from rectangular t...
 11.7.96: For constants and describe the graphs of the equations and in spher...
 11.7.97: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.98: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.99: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.100: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.101: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.102: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.103: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.104: In Exercises 97104, convert the rectangular equation to an equation...
 11.7.105: In Exercises 105108, sketch the solid that has the given descriptio...
 11.7.106: In Exercises 105108, sketch the solid that has the given descriptio...
 11.7.107: In Exercises 105108, sketch the solid that has the given descriptio...
 11.7.108: In Exercises 105108, sketch the solid that has the given descriptio...
 11.7.109: In Exercises 109112, sketch the solid that has the given descriptio...
 11.7.110: In Exercises 109112, sketch the solid that has the given descriptio...
 11.7.111: In Exercises 109112, sketch the solid that has the given descriptio...
 11.7.112: In Exercises 109112, sketch the solid that has the given descriptio...
 11.7.113: Think About It In Exercises 113118, find inequalities that describe...
 11.7.114: Think About It In Exercises 113118, find inequalities that describe...
 11.7.115: Think About It In Exercises 113118, find inequalities that describe...
 11.7.116: Think About It In Exercises 113118, find inequalities that describe...
 11.7.117: Think About It In Exercises 113118, find inequalities that describe...
 11.7.118: Think About It In Exercises 113118, find inequalities that describe...
 11.7.119: True or False? In Exercises 119122, determine whether the statement...
 11.7.120: True or False? In Exercises 119122, determine whether the statement...
 11.7.121: True or False? In Exercises 119122, determine whether the statement...
 11.7.122: True or False? In Exercises 119122, determine whether the statement...
 11.7.123: Identify the curve of intersection of the surfaces (in cylindrical ...
 11.7.124: Identify the curve of intersection of the surfaces (in spherical co...
Solutions for Chapter 11.7: Cylindrical and Spherical Coordinates
Full solutions for Calculus  8th Edition
ISBN: 9780618502981
Solutions for Chapter 11.7: Cylindrical and Spherical Coordinates
Get Full SolutionsSince 124 problems in chapter 11.7: Cylindrical and Spherical Coordinates have been answered, more than 82198 students have viewed full stepbystep solutions from this chapter. Calculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.7: Cylindrical and Spherical Coordinates includes 124 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

Cosine
The function y = cos x

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Doubleangle identity
An identity involving a trigonometric function of 2u

Inverse sine function
The function y = sin1 x

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

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

Measure of spread
A measure that tells how widely distributed data are.

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Outcomes
The various possible results of an experiment.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Resistant measure
A statistical measure that does not change much in response to outliers.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Solve by substitution
Method for solving systems of linear equations.

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.