Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the x-axis. y=ex, y = ex₁ x = 0, and x = In 16

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A: Given :∫x3x2-8x+16dx

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A: Explanation of the answer is as follows

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: We will compare both graph

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A: Here we have to find the limits.

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A: h(x)=-x3-4x2+27x3+4x2-3xwe know   limx→∞ 1x=0

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Q: 3 L³ In a) the trapezoidal 1 In(t) dt, n = 10 rule X

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Q: © Evaluate the line integral [F(x, y, z) = 2î+xystyk and C is given by F(t) = +²₁++ ³5-tk, ost≤1

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A: Consider the limit given below :

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A: Please see the below picture for detailed solution.

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Q: e

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A: To make a differential equation after eliminating the arbitrary constants. y=c1e-x+c2e2x+c3e-3x

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