(a) Explanation Given: From exercise 21 notice that, the solid enclose by the cylinder y = x 2 and the planes z = 0 , y + z = 1 and the density is given by ρ ( x , y , z ) = x 2 + y 2 . Calculation: Mass of the solid, m a s s ( m ) = d e n s i t y × v o l u m e . Here the density is given by ρ ( x , y , z ) = x 2 + y 2 . The mass of the solid is, m = lim l , m , n → ∞ ∑ i = 1 l ∑ j = 1 m ∑ k = 1 n ρ ( x i j * , y i j * , z i j * ) Δ A = ∭ E ρ ( x , y , z ) d A (b) To determine To find: The integral expression for the center of mass and not to evaluate the value. (c) To determine To find: The integral expression for the moment of inertia about the z -axis and not to evaluate the value.

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ISBN: 9781285741550

Author: James Stewart

Publisher: Cengage Learning

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Chapter 15.6, Problem 47E

(a)

To determine

To find: The integral expression for the mass and not to evaluate the value.

(b)

To determine

To find: The integral expression for the center of mass and not to evaluate the value.

(c)

To determine

To find: The integral expression for the moment of inertia about the z-axis and not to evaluate the value.

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Chapter 15.6, Problem 46E

Chapter 15.6, Problem 48E

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Chapter 15 Solutions

Calculus: Early Transcendentals

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The integral expression for the mass and not to evaluate the value.

Solution Summary: The author explains the integral expression for the mass and not to evaluate the value. The mass of the solid is m=undersetl,m,nto infty

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To find: The integral expression for the mass and not to evaluate the value.

To find: The integral expression for the center of mass and not to evaluate the value.

To find: The integral expression for the moment of inertia about the z-axis and not to evaluate the value.

Want to see the full answer?

Chapter 15 Solutions