Consider the function f(x, y) = 2ye" and the region R = {(x, y)|0 ≤ x ≤ 1,0 ≤ y ≤ x³}.

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A: Let g(x)= tan-1(x2)-ln(1+x4). Find the equation of tangent line to y= g(x) at x=1. Simply the answer…

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A: Given that curve for a drug is given by R=1001+100e-0.1x

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Q: Consider the function f(x, y) = 2ye7 and the region R = {(x, y)|0 ≤ x ≤ 1, 0 ≤ y ≤ x³}. (a) Find the…

A: The solution is shown below-

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A: If the nth partial sum of a series ∑n=1∞ an is sn=7-n·5-n, then to find a1, an and ∑n=1∞ an.

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A: We have to find limit here.

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A: First we need to find the equation of tangent line at point (-1,4)

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A: To determine the average value of vt=et2·cost over the domain 1, 4.

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Q: 37. lim x40+ log₂ x log, 3x

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A: M=d dx(g(f(x))

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A: The solution is given below

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Q: Problem 3. Find the domain of f(x,y)=√√4-r²-y²+ln (r³y). Then graph this domain.

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Q: 3. Solve for y" for 2x² - y² = 2. 4. Solve for second derivative in the equation tan y = 5x + 3.

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A: The solution is shown below-

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Q: (The horizontal green line on the graph marks the minimum desired response level. The horizontal red…

A: The solution is shown below-