Chapter 13: Q.46 (page 991)
Each of the integrals or integral expressions in Exercises 39–46 represents the volume of a solid in . Use polar coordinates to describe the solid, and evaluate the expressions
Short Answer
The value of integral is
Chapter 13: Q.46 (page 991)
Each of the integrals or integral expressions in Exercises 39–46 represents the volume of a solid in . Use polar coordinates to describe the solid, and evaluate the expressions
The value of integral is
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Get started for freeState Fubini's theorem.
Find the masses of the solids described in Exercises 53–56.
The solid bounded above by the paraboloid with equation and bounded below by the rectangle in the xy-plane if the density at each point is proportional to the square of the distance of the point from the origin.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Evaluate each of the double integral in the exercise 37-54 as iterated integrals
Let be a lamina in the xy-plane. Suppose is composed of n non-overlapping laminæ role="math" localid="1650321722341" Show that if the masses of these laminæ are and the centers of masses are then the center of mass of is where
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