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

Q: Find the rate of change of the fucntion f(t)=4t^2-5t-3,[x,x+h

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

A: Given: g(x)=4x3-4

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: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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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: Write expressions for the average rate of change of y with respect to x between a and x and for the…

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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: 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: Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x)…

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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 rate of change of the distance between the origin and a moving point on the graph of the…

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

A: The average rate of change of f(x) in the interval x =1 to x =4 is a measure of the slope of the…

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: 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: 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: Find the average rate of change of the function over the given interval. Compare this average rate…

A: Given function is fx=-1x. To find the average rate of change of the function over the given interval…

Q: 3. fox =V X at X T6

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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 of y with respect to x if x changes from 3 to 5 in the function y =…

A: The formula for average rate of change from a to b is : f(b)-f(a)b-a

Q: What is the rate of change of the volumeof a ball (V = (4&gt;3)pr3) with respect to the radius…

A: The volume of a ball with radius r is given by V=43πr3 Recall that the rate of change is given by…

Q: Let  x(V) = V1/3  be the length of the side of a cube in terms of its volume. As V decreases, does…

A: V is decreasing that is dv/dt is negative  Let dv/dt =-k where k is constant.

Q: find the average rate of change for the function over the interval y=x^2+3x between x=3 and x=8

A: Given: the function

Q: For the function y = 4x2: (a) Find the average rate of change of y with respect to a over the…

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Q: A square with side x, is changing with time where x(t) =3t + 1. What is the formula for the rate of…

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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: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Find the average rate of change over the interval [2, 5], for the function, f(x) = 3 – x

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

Q: The height h of a right circular cylinder is twice its radius r. Find the rate of the volume V of…

A: The volume of the right circular cylinder is given as: V=πr2h where 'r' is the radius of the cone…

Q: Find the rate of change of y with respect to x when x=3000 and y=100

A: Given data:   The given expression of the function is 180x0.75y0.25=230,734. The given value of…

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 average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and…

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Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

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

A: The instantaneous rate of change of f at x = a is f'(a), if it exists,

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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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: 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: If f (x) = x + 3x2, find the average rate of change from, x- -2 to x = 2.

A: Consider the provided function, fx=x3+3x2 Find the average rate of change from x=-2 to x=2. Use the…

Q: are

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Q: Find average rate of change for the function over the given interval. y = x2 + 4x between x = 2 and…

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Q: Estimate the instantaneous rate of change of the function f(x)=2x^2−1 at x=1 using the average rate…

A: The given function is,

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: The value of y varies at a constant rate of change of 1.7 with respect to x. If x varies from x=3 to…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: The surface area of a cube with sides of length x is given by S = 6x2 . Find the rate of change of…

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Q: It follows from Poiseuille's Law that blood flowing through certain arteries will encounter a…

A: Given  R(x) = 0.25(1 + x)4

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: The diameter of a sphere is 5(2x+ 5), the rate of change of its surface area with respect to x is

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Exponential Growth Model

The relation that represents an exponential function is: