ppose that f is a continuous function and the followi ƒ(2) = 2, ƒ(4) = −1, ƒ(6) = 6, ƒ(8) = = culate F'(2). 21 -32 -10 4x F(x) = [₁² f f(t) dt.

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Q: Find the average value of the function f(x)=xex? over the interval [0.2]

A: f(x)=xex2  on 0,2formula for average value is favg.=1b-a∫abf(x)dx∫exdx=ex+c

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Q: 3. Find the volume of the curve x² = 4y and the line x = y rotated about the x-axis.

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Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. [°…

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Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

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Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) fixed cost of…

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Q: Rewrite the following in terms of a single logarithm: - log(x+2) - 3 log(x) − 5 log(x² + 1)

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Q: Find the Taylor series, centered at c = 3, for the function 1 1-x² f(x) = ΣΠ n=0 The interval of…

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Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

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