Find f. f(t): = 12t f"(t) = 3 9 √t' f(4) = 32, - 22t + 6 X f'(4) = 14

Q: The position function for a falling object is given by s(t)=−16t^2+v0t+s0, where s(t) is the height…

A: Given: The position function of the problem is with vo= 45 and so=0 And the function is  s(t) =…

Q: Given f"(x) = 6x - 5 and f'(-3) = -1 and f(-3) = -2. Find f'(x) = and find f(4) = %3D

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Q: Apply Maclaurln's Serles to Show (-1)*-1,2=-2) 2(n – 1)1 cos X=

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Q: Differentiate f(x)=1/x  - 6sqrt(x)

A: See the steps below and work out the steps as shown and the explanation is also shown below inside…

Q: given by s(t)=−t^2+25 Find the average velocity of the object from t=1.5 to t=3 seconds

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Q: Find F-7(x) for f(x)= 13 +14x

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Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: f(x) = '(x) = - 15 √√x

A: Given query is to find indicated derivative.

Q: Find invers of function f(x)=1/2x+1

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Q: Find f'(1) if f(x) = √√√x + )=√x+ +2

A: We are given,

Q: f(t)= 140/3 t^2 + 3000 does concavity for f(t) change . t is in days

A: Given : f(t) = 140/3 t2 + 3000

Q: If f(x) = = √2x+6, find f'(x). Find f'(2).

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Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

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Q: f(x) = C

A: Here we apply quotient rule of differentiation given as ddxuv =vdudx-udvdxv²

Q: A vehicle travels in a straight line for t minutes with a velocity of v(t) = 174t - 6t² feet per…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

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Q: f"(x) = 2x + 5 and f'(-2) = 4 and f(-2) = -4. Find f'(x) = x^2+5x+10 and find f(2) = 76/3

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Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

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Q: f(x)=(1)/(x), shifted up 2 units, 5 units up and vertically stretched 7 units

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Q: Differentiate the function f(x) = 8sinx - 3cosx. Answer f'(x) =

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Q: f(5) = 4 f'(5) = 2 g(5) = 1 g(5) = 4

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Q: Consider the function whose output formula is N = f(t) = 175(2)^T . What is the solution for the…

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Q: Answer: f'(3) could equal

A: Since f(2) = 13 f(4) = = 12.25   Also f"(x) >0 , which means f is concave upward

Q: 5 a. Find f'(x) and also f"(1) if f(x) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: You are lying on the beach watching a balloon float upward at a rate of 2 meters/sec from a point 50…

A: The balloon floats upwards at a rate of 2 meters/sec. The upward distance traveled after t seconds =…