Chapter 13: Q 12. (page 1066)
To convert from spherical to cylindrical coordinates:
Chapter 13: Q 12. (page 1066)
To convert from spherical to cylindrical coordinates:
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Get started for freeUse the results of Exercises 59 and 60 to find the centers of masses of the laminæ in Exercises 61–67.
Use the lamina from Exercise 61, but assume that the density is proportional to the distance from the x-axis.
Evaluate the sums in Exercises 23–28.
Let be a continuous function of three variables, let localid="1650352548375" be a set of points in the -plane, and let localid="1650354983053" be a set of points in -space. Find an iterated triple integral equal to the triple integral localid="1650353288865" . How would your answer change iflocalid="1650352747263" ?
Explain how to construct a Riemann sum for a function of two variables over a rectangular region.
Evaluate the sums in Exercises .
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