Chapter 13: Q 19. (page 1066)
Show that the mass of is by evaluating the integral:
Short Answer
Use spherical coordinates while evaluating using triple integral.
Chapter 13: Q 19. (page 1066)
Show that the mass of is by evaluating the integral:
Use spherical coordinates while evaluating using triple integral.
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Get started for freeUse Definition to evaluate the double integrals in Exercises .
localid="1649936867482"
where
Find the masses of the solids described in Exercises 53–56.
The solid bounded above by the hyperboloid with equation and bounded below by the square with vertices (2, 2, −4), (2, −2, −4), (−2, −2, −4), and (−2, 2, −4) if the density at each point is proportional to the distance of the point from the plane with equationz = −4.
Explain why it would be difficult to evaluate the double integrals in Exercises 18 and 19 as iterated integrals.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Use Definition to evaluate the double integrals in Exercises .
where
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