Given f(x) ƒ'(x) = S t³ dt, dt, answer the following:

Q: Please see attachment

A: Given function is

Q: (a) F(3) = (b) F'(3) = (c) F"(3)

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Q: Given f(x) t'dt, answer the following: f'(x) =

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Q: Your used Chevy’s gas mileage (in miles per gallon) is given as a function M(s) of speed s in miles…

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Q: The units of f'(t) are m3/s. What does f(t) measure? Give a real world scenario that could be…

A: f'(t) = df/dt unit of it is m^3/sUnit of t or dt is sec So, unit of f(t) must be m^3.

Q: By using the definition of the derivative, use a clear diagram to argue that d S(t)dt = f(x). %3D dx…

A: We have to prove that ddx∫axftdt=fx This will be prove by Newton's Leibnitz rule in this rule we…

Q: r(a) e-t ta-1 dt

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Q: 5. Given F(x) = cos (t) dt, determine F'(x). 2

A: Using leibniz rule  Explanation is given below....

Q: Given t = x + ex, find dx/dt

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Q: = f²³² € 0 Given F(x) = -t² e dt, use FTC Part II to find F'(1)

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Q: Given that F(x) = Vt? + 1 dt calculate F"(x).

A: Given that Fx=∫x0t2+1dt                                     ……(1) We have to find F''x. First we…

Q: Compute the derivative: d I/ In(t° + 1) dt dx

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