Set Up the Double Integral Required to Find the Moment $y = 1$

question 77

Multiple Choice

Set up the double integral required to find the moment of inertia I, about the line $y = 1$ , of the lamina bounded by the graphs of the equations $y = 9 - x ^ { 2 }$ and $y = 0$ for the density $\rho = k$ . Use a computer algebra system to evaluate the double integral.

• A) \(\frac { 15,606 k } { 35 }\)
• B) \(\frac { 15,426 k } { 35 }\)
• C) \(\frac { 16,326 k } { 35 }\)
• D) \(\frac { 16,236 k } { 35 }\)
• E) \(\frac { 15,516 k } { 35 }\)

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