### Partial derivative

Compute the first-order partial derivative of the given function z=xy^2/x^2y^3+1

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Compute the first-order partial derivative of the given function z=xy^2/x^2y^3+1

Please show or explain step by step process. Please use proper notation. Volume: Find the volume of the solid generated by revolving the region bounded by the graph y=xe^(-x), y=0 and x=0 about the x-axis.

The product rule for radicals is ... (see attached) Solve ... (see attached)

The Problem is attached

See attachment

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Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value. This is what I did - does it look at all right? y(2)=(2)^3=8 y(2.01)=(2.01)^3=8.120601 delta y=8.120601-8=0.120601 dy/dx~delta y/delta x = 0.1206

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I have done most of the calculations but require confirmation.

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Please see the attached file for the fully formatted problem. Find G'(x) if G(x) = f1 x xt dt

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Please see the attached file for the fully formatted problems. Find the derivative (y) if y = 3x^4 - 2x^3 - 5x^2 + xpi + pi^2

See attached

See attached file for full problem description.

Questions are in the attached file. For #1, find and sketch the domain of the function For #2, find the indicated partial derivatives

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