Chapter 13: Q. 18 (page 1055)
Complete Example by evaluating the iterated integral
Short Answer
The value of the iterated integral is,.
Chapter 13: Q. 18 (page 1055)
Complete Example by evaluating the iterated integral
The value of the iterated integral is,.
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Get started for freeEvaluate each of the double integrals in Exercises 37–54 as iterated integrals.
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.
Use the results of Exercises 59 and 60 to find the centers of masses of the laminæ in Exercises 61–67.
In the following lamina, all angles are right angles and the density is constant:
Evaluate the sums in Exercises .
Find the masses of the solids described in Exercises 53–56.
The first-octant solid bounded by the coordinate planes and the plane 3x + 4y + 6z = 12 if the density at each point is proportional to the distance of the point from the xz-plane.
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