12. 5 In(3x) dx 5ln (3x) + C 4

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A: Average Cost = C(x)x. Marginal Cost = C'(x)

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A: This is a problem related to vector calculation. Based on the general formula we will find the…

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A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

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A: ∫1x2+a2 dx = 1a tan-1xa+C

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A: To show that the lines L1: x=2-t, y=2t, z=1+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

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A: We have to use lagrange multipliers.

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A: We can solve this as follows:

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Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

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A: “Since you have posted a multiple question, we will solve first question for you. To get remaining…

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Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

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