for the function f(x)= √2x+3, estimate the instantaneous rate of change at x=5. use h value of 0.01

Q: What is the average rate of change of the function f(t)=t2−7t  between  t=−5 and    t=−4?

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Q: 16. Find the average rate of change for y = x² –9x+20 from x=5 to x=7. А. З В. -3 С. 1/3 D. -1/3 E.…

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Q: For the function y = x2 , find the instantaneous rate ofchange of y with respect to x when x = 3.

A: The instantaneous rate of change of y with respect to x is given by dy/dx

Q: For the function y=x2,compute the average rate of change between x=9 and x=10

A: We have to find the average rate of change of function.

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 4x and dx…

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Q: 3. For g(x) = x² - 5x + 8, find the average rate of change on the interval [1, 6].

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Q: Find the value of c on the interval (a, b ) f(b) – f(a) | such that f'(c) : b — а f(x) = – x² – 16x…

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Q: A 2,662-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min)…

A: We have to find the function that gives amount of water in tank at time t.

Q: Find the average rate of change of g(x) = 2x° – 4 from x = - 1 to x = 3 -

A: This question is based on average rate of change of function.

Q: The rate at which a radioactive chemical is delivered into cells is r(t) (measured in miligrams per…

A: NOTE: As method is not specified, question is solved for Riemann left end point approximation.

Q: Find the average rate of change of f (x)=-x+3x+6 from x=2 to x=6. Simplify your answer as much as…

A: Given:- f(x) = -x2 +3x+6  To find:- Average rate of change of given function from x=2 to x=6

Q: Given the function f(x)=x2/3, which of the following is a valid formula for the instantaneous rate…

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Q: Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x)…

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Q: The function f(x) = 1 + x decreases to 1 as x- 0. Does f(x) dx exist?

A: Given function is f(x)=1+x-1f(x)=1+1x Given integral is evaluated as follows.…

Q: Given the function g(x) change of the function over the interval -9 < x < -2. x2 + 5x + 1, determine…

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Q: A 2,916-liter cistern is empty when water begins flowing into it (at t=0) at a rate (in L/min) given…

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Q: to determine the instantaneous rate of change c Use f(x+0.0001)-f(x) 0.0001 f(x) = 5x² - 7x ata = 2,…

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Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A: fx=x23fx+h=x+h23At x=8f8+h=8+h23f8=823=23×23=4

Q: Given the function f(x)= X x-2’ a. Determine the average rate of change on the interval -4≤x≤-1. b.…

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Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: Find the derivative of the function. s(e) = VE-5E f '(x) =

A: The given function is: fx=x-5x3 The objective is to find the derivative of the function i.e., f'x.

Q: Find the average rate of change of f(x) = 2x− 2x+ 1 from x= −1 to x = 4.

A: The average rate of change from x=-1 to x=4

Q: Find the average rate of change of g(x) 2x 5 from x – 1 to r = 4.

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Q: 1. For function f (x) = 0.5*, state a) the average rate of change from x = -1 to x = 1 b) the…

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Q: . For the function y = x2, compute the average rate ofchange between x = -1 and x = 2.

A: Given function:                        y = x2

Q: 213 20 fet)= (9t+3)

A: The given function, f(t)=9t+323

Q: The radius of a right circular cylinder is given by √(t + 2) and its height is 1/2√t, where t is…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the average rate of change from x 2 to x-2+ h for the function f()and simplify so that no…

A: we have to find average rate of change of f(x) between [2+h,2] using formula mentioned above

Q: A 2000-liter cistern is empty when waterbegins flowing into it (at t = 0) at a rate (in L/min) given…

A: It is given that   . Suppose a quantity Q changes over time at a known rate Q'. Then the net change…

Q: Suppose that a company’s marginal revenue from the manufacture and sale of eggbeaters is dr/ dx = 2…

A: To determine the expected revenue from a production run.

Q: Suppose that a company’s marginal revenue from the manufacture and sale of eggbeaters is dr dx = 2 -…

A: To Determine:  How much money should the company expect from a production run of x = 3 thousand…

Q: Water is being pumped into a tank at the rate of r(t)= 30(1-e^(-0.16t)) gallons per minute, where t…

A: Water is being pumped into a tank at the rate of

Q: Given f(x)=1/x+2, find the average rate of change of f(x)on the interval [10,10+h].

A: Given,

Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

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Q: The rate of change of y is proportional to y. When t = 0, y = 2, and when t = 2, y = 4. What is the…

A: Given that rate of change of y is proportional to y that is, dydt=ky        ...(1)

Q: Find the second derivative f"(x) for f(r) = e(z+2)*.

A: Given: fx=ex+24 for finding second derivative of given function we first take log and find first…

Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

A: Answer is mentioned below

Q: Find the average rate of change between the x values. f(x)=7x+1; x=3 and x=4

A: Consider the provided function and given values of x:

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x…

A: Given that the monthly output at the Olek Carpet Mill is

Q: Find the average rate of change of h(x) = x + 4x + 11 on the interval -1, 3]. O 15 60 O 51 -15 -5

A: Consider the following function: hx=x3+4x2+11 Average rate of change of hx on the interval -1,3:…

Q: For the function y = x3, compute the average rate ofchange between x = -1 and x = 2.

A: We have given function y=x3

Q: For the function y = x2 , compute the average rate of change between x = 0 and x = 3.

A: Given : The function is y = x2 and x = 0 and x = 3 .

Q: Given the revenue and cost functions R(x)=34x−0.3x^2 and C(x)=6x+14, where x is the daily​…

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Q: Find the average rate of change of f (x) = 2x- 8x from x= 2 to x = 5. Simplify your answer as much…

A: We will find the average rate of change.

Q: For the functiony = (x2 + 2)(x3 − 4x),at(−2, 0)find the following.(a) the slope of the tangent…

A: y = (x2 + 2)(x3 − 4x) = x5 + 2x3 - 4x3 - 8x = x5 - 2x3 - 8x Recall famous law of differentiation:…

Q: For the given curve y = 5x – 2x', when x increases at the rate of 2 units / sec, then how fast is…

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Q: Find the average rate of change of g (x) = 2x - 8x from x=2 to x= 6. Simplify your answer as much as…

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Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5V9x2 –…

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Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

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Q: Given the function f(x) = x which of the following is a valid formula for the instantaneous rate of…

A: The given function fx=x23 The instantaneous rate of change is given by limh→0fa+h-fah