Find Iz for the lamina z = x2 + y2, 0 ≤ z ≤ 18 with uniform density of

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Find Iz for the lamina z = x2 + y2, 0 ≤ z ≤ 18 with uniform density of 1 . Use a computer algebra system to verify your result. π50(10691+1) π30(10791+1) π60(107(73)3 /2+1) π60(105(73)3 /2+1) π30(106(73)3 /2+1)

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Find

I_{z}

for the lamina

z = x^{2} + y^{2}, 0 \leq z \leq 18

with uniform density of 1 . Use a computer algebra system to verify your result.

\frac{π}{50} (106 \sqrt{91} + 1)

\frac{π}{30} (107 \sqrt{91} + 1)

\frac{π}{60} (107 (73)^{3 / 2} + 1)

\frac{π}{60} (105 (73)^{3 / 2} + 1)

\frac{π}{30} (106 (73)^{3 / 2} + 1)

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