Determine the value of k so that the rate of change of the function f (x) = 4x² + kx – 7 is 7 when -1< x < 2.

Q: The demand x is the number of items that can be sold at a price of Sp. For x=p* - 2p³ + 500, find…

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Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

Q: 5. Find the instantaneous rate of change of 1 g(x) = 2x – 32x° + 17x² – 9x + 4 at x = 2

A: Given equation is, gx=2x4-32x3+17x2-9x+4

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

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

Q: The rate of growth of profit (in millions) from an invention is approximated by P'(x) =xe x, where x…

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Q: Find the interval/s where the function is increasing and where it is decreasing: f (x) = x³ – 3x + 3…

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Q: Find the average rate of change of g(x)= -3x^3 +4 from x=-2 to x=3

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Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…

A: Given function is

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: We are given f(x) = 9x2 and f '(x) = 18x. Find the instantaneous rate of change of f(x) at x = 2.

A: Given function is

Q: Find the average rate of change of f (x) = -x+5x+1 from x=2 to x=7. Simplify your answer as much as…

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Q: 2х + 1 f(x) : х+ 2

A: Given:…

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: Estimate the instantaneous rate of change of f(x)=3x²+2x−1_at x = -1. a) ΔΕ Δε O b) ΔΕ Δε Ο c) Δε Δε…

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Q: Find the average rate of change of f(x) 7x-8 on the interval 1, a. Your answer will be an expression…

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Q: Find the rate of change of the function f (x) = (x + 1)/(1 - 5x) with respect to x when x = 1.

A: The given function f(x) - f(x) = x+11-5xRate of change of function is given by ddxf(x) =…

Q: Find the average rate of change of the function f(x) = x² -3x + 5 between x = 0 and x = 2.

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Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

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Q: If f(x) = 3x + 2x + 6, find the instantaneous rate of change of f(x) at x = 1. -

A: Topic - applications of derivativea Instantaneous Rate of change of f(x) at x is given by slope of…

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

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Q: Find a real number a such that the instantaneous rate of change of the function flx) =2x²+ 4x+7 at x…

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Q: ズ-1 f(x)- X + 3

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Q: Find the average rate of change of f(x) = 4x - 6 on the interval 1, b. Your answer will be an…

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Q: Find the average rate of change of the function from x = 1 to x = 2. f (x) = - 14

A: Using function notation , we can define the average rate of change of a function f(x) from  x = a to…

Q: Find the average rate of change of the function f(x)=-2x^2-1x+6, from x=-2 to x=0. Find the average…

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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: Suppose the constant rate of change y with respect to x is -2.5 and we know that y=-6.75 when x=1.5…

A: Given,The constant rate of change of y with respect to x = -2.5.We know that,Slope = rate of change…

Q: Find the instantaneous rate of change for each function at the given value: F(x)= x2 + 2 at x = 0

A: Given: F(x)= x2 + 2 at x = 0

Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: the demand x is the number of items that can be sold at a price of $p. for x = p^3 - 5p + 1300,…

A: Given that  x = p^3 - 5p + 1300  To find the rate of change with respect to x by differentiating…

Q: Find the average rate of change of the function from x = 1 to x = 2. 10 f (x) : x2

A: first we differentiate function then we put limits

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

A: We can find the average rate of change of a function as below in the following steps.

Q: determine the instantaneous rate of change for the function f(x)=7^x + 9log(x^x) at x=4

A: This question can be solved using the concept of derivative of a function at a point.

Q: Find the average rate of change of f(x) = 4x² – 7 on the interval [1, 6]. Your answer will be an…

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Q: #3 Find the instantaneous rate of change for the function f(x) = V3 – x at x = -6.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the average rate of change of f(x) = 9x2 – 8 on the interval [2, t]. Your answer will be an…

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Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = x² –…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose that f(x) = 3x² – 3. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the…

A: We find f'(x) using the power rule Slope of the line tangent to f(x) at x=5 is given by f'(5) So to…

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: If g(x) = 3x3 + 6x2 + 4. What is the value ofthe instantaneous rate of change of g(x) when x = -1?

A: We have to solve the problem

Q: Suppose that f(x)=-7x2 + 8 (A) Find the slope of the line tangent to f(x) at x=2 (B) Find the…

A: To determine the following for the function f(x) = -7x2 + 8:Part a) Slope of tangent at x = 2.Part…

Q: What is the rate of change for h(x) = 2x2 + 7 on the interval [2, 9]?

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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: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

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Q: ズ-1 f(x) = X + 3

A: given: f(x)=(x-1)/(x+3) x=4 delta(x)=8

Q: When the price of a certain commpdity is p dollars per unit, the manufacturer is willing to supply x…

A: Given  5p2 - 2x2 = 27 where p is the price of a certain commodity in dollars per unit x is the…

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: Find the average rate of change of the function from x=1 to x=4 of f(x)=-8/x^2

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Exponential Growth Model

The relation that represents an exponential function is: