1. [1p] Find the values a such that the average value of the function f(x) = 10 – 4x + 9x2 on the interval [-a, a] is equal to 22. %3D

Q: find the average rate of change of the function over the given interval y= 3/x-2 , [4,7]

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Q: Suppose that the average cost, in dollars, of producing a shipment of: certain product is: 2000t C =…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: #7. Find the average rate of change of the function between the give values of x. y = -5x – x2…

A: The average rate of change of a function fx on an interval a, b is given by…

Q: Calculate and express the exact average rate of change for the indicated interval. f (x) = x2 + x, x…

A: Given f(x) = x2+x, the interval is [2,4].

Q: i) Find the critical numbers of function f (x) = x/x+3 TV. ii) If 2x- y=k is the equation of a…

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Q: Find the average rate of change of the function from x1 to x2 : f(x) = 3x from x1 = 0 to x2 = 5.

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Q: 5. Find the average rate of change for the function between the given values. a. f(x) = v2x, from 2…

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Q: 1 1. Given that y =- a. Find the average rate of change of y with respect to x over the interval…

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Q: If (X1. (x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

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Q: 2) Find the average rate of change of the function f (x) = -3x-1 from x = a to x a + h.

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Q: FInd the average rate of change of the given function on the interval (1,7). G(x)=4x^2+4x

A: Given function ,f(x) = 4x2+4xwe have to find average rate of change of the function on the interval…

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

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Q: Find the average rate change of the function between the given values of X.  y= 6+3x+0.5x^2 between…

A: The given function is  f(x) = 6 + 3x + 0.5x2 x = 4, x = 6

Q: Find the average rate of change for the function over the given interval y=-3x-x between x=5 and…

A: To find the average rate of change.

Q: 1. Find the average rate of change of k(x)= -x² over the interval [4,8]. Write your answer as an…

A: Given :           k(x) = -x2  ,  4,8

Q: What is the average rate of change of the function f(x) = 2x2 + 4 over the interval [-4, -1]? O A.…

A: Average rate of change is ratio of difference between outputs and difference between inputs

Q: Need help

A: Given function:

Q: 7) Find the average rate of change of the function K(x) = cos (x--) from x = 0 to x = 6

A: First of all find values of function at end points then put in formula of average rate of change.

Q: What is the average rate of change of f(x) = f(x) = – 7 from z = 2 to a = 10? 1/2

A: To find the average rate of change of f(x) from x=2 to x=10.

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

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

Q: 12. Consider the function f (x) = sin (nx). On the interval [0,3]. At what value of x would the…

A: Topic = Derivative

Q: 4. Find the equation of the tangent line and the normal line to the graph of the given function at…

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Q: The marginal revenue of a company is given by MR = 122 + 20Q + 3Q², where Q is amount of units sold…

A:

Q: C. Find the average rate of change of the given functions at the indicated interval. 1. f(x) = x² at…

A: We know that average value of function f(x) on given interval [a,b] is f(b)-f(a)b-a

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

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Q: 14. Find the average rate of change of y=x' over the interval [1, 3].

A: According to our terms and conditions I have solved first question for next question repost

Q: 1. Determine the value of so that the average rate of change of the function h(x) = x + 3x+2 on the…

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Q: find the average rate of change of the function over the given interval or intervals. 2. g(x) = x² –…

A: The given function is gx=x2-2x. Obtain the average rate of change of function over 1, 3 as follows.…

Q: 2. Given the function g(x)= x² + 2x - 6, determine the average rate of change of the function over…

A: Given, gx=x2+2x-6We have to find average rate of change over the interval -4≤x≤3.

Q: If h (x) = x³ + 4æ² – 12x + 7 on the interval [-2, 4]: For what value(s) of C does h' (c) equal the…

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Q: 3) Find the average rate of change of the function over the given interval or intervals: f(x) = x' +…

A: The average rate of change is similar to that of a slope between two points . The average rate of…

Q: 5. Determine the average rate of change of f(t)=t – 2t in the interval 2,5|.

A:

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: 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 the average rate of change of g(x) = 5x° on the interval [-4, 3]. 2

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Q: 1- Find the average rate of change for y == Xo = 1 X1 = 2 2- Find the instantaneous rare of change…

A: Application of derivatives

Q: a) Determine the AVERAGE rate of change of y over each interval −5 ≤ x ≤ 9 −1 ≤ x ≤ 5 −3 ≤ x ≤ 7…

A: a)−5 ≤ x ≤ 9At x=-5, y=48  and x=9, y=41 AVERAGE rate of change of y=41-489--5=-714=-12−1 ≤ x ≤ 5At…

Q: 4. Let f(x) = 3r2 – 2x + 1. (a) Find the average rate of change of f(x) on the interval [1,3]. (b)…

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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: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

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Q: What is the average rate of change of f(x) = 4 over the interval from 0 to 3? 23

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Q: 14. For the function f (x) = 10 - 5x find the average rate of change from x = a to x = a + h %3D

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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: 4. Suppose the function is defined by y = f(x) = x² – x a. Find the average rate of change of y with…

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Q: 4. Suppose the function is defined by y = f (x) = x² – x a. Find the average rate of change of y…

A: y=fx=x2-x a). The average rate of change of the function over the interval 1, 3 is,…

Q: O Find the average rate of change for the function fex) = xª+ 4x -6 on the interval [1,3 ]

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Q: 5. Consider the function f(x) = Vx + 16 a) Estimate the average rate of change of f(x) from x = 0 to…

A: Given, f(x)=x+16

Q: If a company's marginal revenue function is  MR(x) = xe−x/9,  find the revenue function. [Hint:…

A: Consider the given marginal function.

Q: 1. Determine the average rate of change of y in the function y = 2x³ + 7x² + 2x - 3 over the…

A: We can use the concept of calculus in order to solve the given problem.

Q: V. Find the slope of the normal line to the graph of g(x) = where x = 0. log₂ (1-x) sin ¹(x) + e² at…

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