Let F(s) = 3s (s+1)4 ° Find f(t) = L−¹[F(s)]

Q: Let F(x) = f(x°) and G(x) = (f(x))" . You also know that a = 9, f(a) = 2, f'(a) = 8, f' (a") = 9 %3D…

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Q: g(x)dx = (5x? +2)° +C

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Q: For function f (x, y) y? x2+1 Find the maximum rate of decrease of f at the point (1, 2)

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Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

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Q: Find the average rate of change of f(x)=−x2+9x on the interval [1,6].

A: Given: The given function is, f(x) = -x2 + 9x  on [1, 6]   To determine: The average rate of change…

Q: Find the orthogonal projection of the vector: onto the line that consists of all the scalar…

A: Given be the line in that consists of all scalar multiples of the vector To find the orthogonal…

Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y)…

A: Topic- Vectro

Q: f(x) dx = 18 and f(x) dx = 3.7, find f(r) dr.

A: using property of definite integration

Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

Q: XVII. For w = x³ + xy² +yz, find the rate of change of w at point (1,2,3) in the direction towards…

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Q: consider the following function: f(x)=cos(2-2x)

A: The given function .The aim is to find the period of the function.

Q: The process followed by a variable x is: dx = function f(x,t) = In(x/t)? uxdt + oxdz.What is the…

A: Given:     Using x is : dx=μxdt+σxdz find the process for the function f(x,t)=In(xt).    Also that…

Q: Find f such that f′(x)=4x−9​, f(9)=0.

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Q: Find fo° f(x) dx if S2 for x 2. f(x) =

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Q: Let f(x) = a and g(x) + 2, find: a. (fo g)(x) = Preview b. (go f)(x) = Preview %3| c. (fo g)( – 1) =…

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Q: | f(x)dx Select one: а. S f(x)dx 2 b. 1 С. f(x)dx - d. 0

A: Given integral is: ∫aaf(x)dx