Chapter 13: Q. 70 (page 1057)
Let a, b, and c be positive real numbers, and letR = {(x, y,z) | −a ≤ x ≤ a, −b ≤ y ≤ b, and −c ≤ z ≤ c}.
Prove that if any of α, β, and γ is an odd function.
Short Answer
The given statement is proved.
Chapter 13: Q. 70 (page 1057)
Let a, b, and c be positive real numbers, and letR = {(x, y,z) | −a ≤ x ≤ a, −b ≤ y ≤ b, and −c ≤ z ≤ c}.
Prove that if any of α, β, and γ is an odd function.
The given statement is proved.
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Assume that the density of R is uniform throughout, and find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
Evaluate the sums in Exercises
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How many summands are in ?
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