Let A be the area of a circle with radius r. If dr/dt=3, find dA/dt when r=5.

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A: Yes

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A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

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A: To solve the following integral problem

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A: Given:

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Q: What is the minimum point of the curve y = x2 – 6x + 4

A: The given function is: y=x2-6x+4   First, we have to find the critical points by solving dydx=0.

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Q: 4. Solve the initial value problem. Give your answer in explicit form / = 4x /j + Vj sin a, y(T) = 7

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Q: 4.1: 1)  Find dx/dt at x=2 if y=5x^2−1and dy/dt=5. dx/dt = ?

A: Given problem:- Find dx/dt at x=2 if y=5x^2−1and dy/dt=5.

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A: Slope, m = d[f(x)]/dx

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A: Given query is to find the value of A and B.

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A: 16.∫eedt=ee∫dt=eet+coption A is correct.

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A: Given ∫dxxx2+4

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A: Gradient of a function f(x,y,z) is given by, ∇f=i∂∂x+j∂∂y+k∂∂zf

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A: To find the area of the region bounded by the given curves.

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A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

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