Chapter 13: Q 30 (page 1066)
Describe the graphs of the equations in and provide alternative equations in the specified coordinate systems.
Change
Short Answer
The cylindrical equation is
And the spherical equation is
Chapter 13: Q 30 (page 1066)
Describe the graphs of the equations in and provide alternative equations in the specified coordinate systems.
Change
The cylindrical equation is
And the spherical equation is
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Get started for freeIdentify the quantities determined by the integral expressions in Exercises 19โ24. If x, y, and z are all measured in centimeters and ฯ(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.
Explain how to construct a midpoint Riemann sum for a function of two variables over a rectangular region for which each
Refer to your answer to Exercise 10 or to Definition 13.3.
In Exercises 61โ64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout.
(a) Without using calculus, explain why the center of
mass is
(b) Verify that
Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
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