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Calculus 3: 15.3Tripleintegrals Show Work 1. Evaluate [IS(6xy + 22)dV, where B = [-4, 4] x [0, 1] x [0, 4] (Use symbolic notation and

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Calculus 3: 15.3Tripleintegrals

Show Work

1.

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Evaluate [IS(6xy + 22)dV, where B = [-4, 4] x [0, 1] x [0, 4] (Use symbolic notation and fractions where needed.) SSB(6xy + =2) dV =Evaluate [ISg f(x, y, z) dV for the specified function f and B: f(x, y, 2) = 2 > 0 (see figure below). (Use decimal notation. Give your answer to two decimal places.) SSSwydv = help (decimals)Consider the triple integral fffw aye"2 (IV , where W is the region bounded by z=4y2, .2: Write the triple integral as an iterated integral in the order dz do: dy, and describe the region of integration: |/\\ w ll |/\\ N In! |/\\ |/\\ |/\\ The region W is bounded by the surfaces given by z = 1 yg, 2 = I], z = 0, and z + :I: = 7. Set up but do NOT compute a single triple integral that yields the volume of W. (Use symbolic notation and fractions where needed.) 1;}! 22 :2 V = f f [ dxdzdy yl 2:1 :1 where 31 = .32 : 91 = ,3}? = zl '22: Compute the average value of z, y, 2} over the region W. f(:,y,z)=e\";W:03y21z\

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