Let ?(x)=2x2+3x+1.Find a value of ? between 1 and 5 such that the average rate of change of ?(x) from x=1 to x=5 is equal to the instantaneous rate of ?(x) at x=?.?=

Q: Find the instantaneous rate of change Of the function at the Speciried value of X flx)=X?-2; X -3

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Q: By choosing small values for h, estimate the instantaneous rate of change of the function f(x) = x³…

A: Use the diffrention formula then simplify

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x + 4x at x= - 4…

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: 2. Find the average rate of change of g (x) = -2x-2x from x= 1 to x=4. Simplify your answer as much…

A: Given, gx = -2x2-2x  We have to find the average rate of change of function from x = 1  to  x = 4 .…

Q: Find the rate of change of x with respect to p. 4 x2 0 0.000001x2 + 0.09x + 5 dx dp ||

A: Proceed as shown below

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

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Q: Find the average rate of change of the function g(x) = 1/√x+1 from x=0 to x=h and simplify your…

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Q: Find the average rate of change for each function over the given interval: y = ln x between x = 2…

A: Given: The function is y=lnx. Formula used: The average rate of change can be calculated as,…

Q: Determine the value of 'a' so that the average rate of change of the function h(x) = x² + 3x + 2 on…

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Q: Find the average rate of change of g(x) = lx -5 from x = - 1 to x = 3

A: Given, gx=1x3-5 from x=-1 to x=3

Q: Find the average rate of change of g(x)=x3-2x+1 (a) From -3to-2 (b) From -1 to 1 (c) From 1 to 3

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Q: find the rate of change. The reciprocal 1/x with respect to x when x = 1, 2, 3

A: The rate of change of a function is the value of the derivative of the function; thus, let the…

Q: Find the average rate of change of g(x) = x3 - 2x + 1:(a) From - 3 to - 2(b) From - 1 to 1(c) From 1…

A: We have been given the function  g(x) = x3 - 2x + 1 We have to find the average rate of change of…

Q: 1. A honeybee population starts with 100 bees and increases at a rate of f'(t) bees per week. What…

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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: Find the average rate of change for the following on the given interval. Then find the instantaneous…

A: the given function is: y=-2x3-3x2+8 the given interval is [-2,6] we have to find the average rate of…

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x+3x at x= - 1 The…

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Q: The population of a colony of bacteria is modeled by the function P(x) = 50(e-X -e-X* ) + 10, for 0…

A: Given that: P(x)=50(e-x-e-x2)+10

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: Find the average rate of change of g(x) = 7x* on the interval [-3,2

A: Our Aim is to find the average rate of change of g(x)=7x4+9x3 on the interval -3,2For calculating…

Q: 10 If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does S g'(x)dx…

A: Given, g'(x) is the rate of growth of redwood tree in feet per year now, We have to define…

Q: Let f(x) = 6x2 + 7x - 5. Then the average rate of change of f(x) from 0 to 18 is the same.as the…

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Q: 4 Find the average rate of change of g(x) 9x2 on x3 the interval [-2,2]

A: In this question we have to find the rate of change.

Q: Find the average rate of change of f(x) between x = -1 and x = 2.

A: Given interval: x = -1 and x = 2 Formula used: Average rate of change of f(x) is fx2-fx1x2-x1

Q: Find the average rate of change of f(x) = x2 − 25x + 26 over the interval  [10, 50]

A: Given fx =x2-25x+26   find average rate of change of fx over10,50   The average rate of change of…

Q: The rate of change of x is proportional to x. When t = 0, x0 = 3 and when t= 2, x = 6. What is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. The mass of a cube in grams is M = x³ + 0.1x*, where x is the length of one side in centimeters.…

A: Explained below

Q: Given the function g(x)= x3 - 1 a) Find the average rate of change over the interval [ -1, 2 ] b)…

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Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

Q: 2 Refer to the graph above and without making any computa- tions find: The average rate of change…

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Q: Find the rate of change of x with respect to p. p =  9 0.000004x2 + 0.05x + 8,    x ≥ 0

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Q: Yes or No? If No, give a reason.

A: Given: Average rate of a function is secant lineTo find: Can the average rate of change of an…

Q: Find the average rate of change of y with respect to x in the interval from x=5 to x=6 and the…

A: We have to find the following conditions

Q: Let g(x) = 6x + 7 and h(x) = x² + 8. What is the average rate of change of g on the interva 2 < x <…

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Q: Find the average rate of change of g(x) = 6x + on the interval [-1, 1].

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Q: A certain radioactive substance is decaying so that at time t, measured in years, the amount of the…

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

A: Average is (g(1) -g(-4)) /5

Q: With an initial deposit of 400 dollars, the balance in a bank account after t years is…

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Q: Find the average rate of change of h (x) = -2x+4x from x -2 to x 1. Simplify your answer as much as…

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Q: How would I solve for the left endpoint and the right endpoint? Find the average rate of change of…

A: Given :f(t) = 4t2 − 3,      [3, 3.1] formula for average rate of change :

Q: how do you find the average rate of change for each function over the given interval? y = x2 + 2x…

A: To calculate the average rate of change of the function y=x2+2x between the limit x=1 and x=3. Now,…

Q: find the function that gives the value of the investment as a function of t. (Round your value of k…

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Q: An environmental study estimates that, t years from now, the level of carbon monoxide in the air of…

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Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

Q: When the interest on an investment is compounded continuously, the investment grows at a rate that…

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Q: Find the rate of change of x with respect to p. p= 9/ 0.000004x2 + 0.05x + 8 ,  x ≥ 0

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Q: 2. The instantaneous rate of change of g(x) is the same for every real value of x. What conclusion…

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Q: Find a formula for the average rate of change of f (x) = x^3 over [2, x] and use it to estimate the…

A: We use the average rate of change formula

Exponential Growth Model

The relation that represents an exponential function is: