Consider the function f(a) = 2" · Vx. Up to two decimals places, which of the following is the instantaneous rate of change of f(x) when x = 1? 0.81 1.55 O 1.79 O 0.28 O 1.28

Q: Place the letter of each description with the numbered items below. (1 mark each) a. quintic f. b.…

A: Step 1: Step 2: Step 3: Step 4: Step 5: Step 6: Step 7: Step 8: Step 9: Step 10: Step 11:

Q: Find the rate of change of the following functions: (a) 313-12 (b) (t + 2)(2t – 1), (c) e" (1 – e").…

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Q: The following formula for k, describes the rate of change as the function of time (t); k = 2e". Use…

A: Answer: Option D

Q: Find the derivative of y with respect to x. y = In 6x? 12 O A. 2x В. x + 6 Oc. OD. 2x +6

A: The given function is- y=ln6x2 Differentiating y w.r.t. x- dydx=16x2×d6x2dx

Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

A: Given that rt be the rate at which a swimming pool is being filled with water, measured in…

Q: Suppose a pizza has just been taken out of an oven to cool. The temperature, H, of the pizza…

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Q: on day t. Use the function f(t)=0.01(2)t to confirm the compensation you found above for Dec. 14…

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Q: Suppose the concentration of a particular drug that is administered orally is given by Cpo (t) = 150…

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Q: Which of the following functions grow faster than e" as x00? Which grow at the same rate as e"?…

A: We have to calculate which function grows faster than ex The function given to us is 10x4+30x+1…

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: Differentiate the following function.   y = x/ln x

A: Consider a function y is defined as, y=fxgx The derivative of the function is defined as,…

Q: Find the derivative of the following function. x² +a x when a = 9, evaluate it for when x = 4.85.…

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Q: Let f(t) = 135·(1.016)4·t.  Find f(9).  Round your answer to 2 decimal places

A: In this question , we can find f(9). Put t=9 in the given expression and solve.

Q: aluate the second derivative of fix) = =-5 for x= lect the correct choice below and filin any answer…

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Q: Let f(t) = 201·(1.002)12·t.  Find f(7).  Round your answer to 2 decimal places.

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Q: Which of the following notations is not for the derivative of a function? a. f(x) b. y' c. d d. d/dx

A: Query- Which of the following notations is not for the derivative of a function? a.fx,  b.y',  c.d,…