6. (5 points) Find the instantaneous rate of change of the function h h(t) = t² . /f² + 1 %3D with respect to time t, using any method

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Q: Identify a function f that has the given characteristics. f(-5) = f(1) = 0; f '(-2) = 0, f '(x) 0…

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Q: Q3: Find f'(5) for f(x) = x³e-x, h= 0.01 using three points formula, compute the error

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Q: drug is administrated intravenously of the object iver 1. the time interval [3,8] Use definition of…

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Q: Find y as a function of x if

A: The given differential equation y'''-4y''-y'+4y=0D3-4D2-D+4=0D+1D-1D-4=0D=-1, 1, 4

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

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Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 80x - 0.5x²…

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Q: Find f'(x) and f'(c). Function Value of c 4 f(x) %3D C = 1 X- 9

A: To find the derivative

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: The graph of f(x) is shown. y 12r tou 4 8 12 16 20 24 28 -8 -4 (b) Use the graph of f(x) to compute…

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Q: The monthly sales of Sunny Electronics' new sound system are given by q(t) = 2,000t - 60t² units per…

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Q: Let f' (t) dt = 9 and f (2) = 3. Find f (6).

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Q: 4. F(x) = (1- t) dt %3D 4

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Q: -2 -1 3 pove function f(x ) = 2 1.2", estimate f'(x) using h = 0.001 for the following three val

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: f(x²) Suppose f(9) = -8 and f'(9) = 10. Let g(x) = Then g'(3) =. Enter an exact number only.

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Q: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…