Chapter 13: Q 32. (page 1039)
Let be triangular region with vertices
If the density at each point in is proportional to the point’s distance from the -axis, find the mass of .
Short Answer
The mass is
Chapter 13: Q 32. (page 1039)
Let be triangular region with vertices
If the density at each point in is proportional to the point’s distance from the -axis, find the mass of .
The mass is
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Get started for freeDescribe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
In the following lamina, all angles are right angles and the density is constant:
Explain how to construct a midpoint Riemann sum for a function of three variables over a rectangular solid for which each is the midpoint of the subsolid role="math" localid="1650346869585" . Refer either to your answer to Exercise or to Definition .
Use Definition to evaluate the double integrals in Exercises .
localid="1649936867482"
where
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