Chapter 13: Q 56. (page 1039)
Let
If the density at each point in S is proportional to the point’s distance from the origin, find the mass of S.
Short Answer
Answer is where k is the constant of proportionality.
Chapter 13: Q 56. (page 1039)
Let
If the density at each point in S is proportional to the point’s distance from the origin, find the mass of S.
Answer is where k is the constant of proportionality.
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In the following lamina, all angles are right angles and the density is constant:
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
In Exercises, let
If the density at each point in S is proportional to the point’s distance from the origin, find the moments of inertia about the x-axis, the y-axis, and the origin. Use these answers to find the radii of gyration of S about the x-axis, the y-axis, and the origin.
Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
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