f the total revenue function for a blender is R(x) = 76x – 0.01x² where x is the number of units sold, what is the average rate of change in revenue R(x) as x increas per unit

Q: The average rate of change of a function f(x) = x² between x = 2 and x = 4 is %3D average rate of…

A: The given function  f(x) = x2 The average rate of change of function over interval [a, b] is given…

Q: If f(x) = 4x – 5x + 7, find the difference quotient of f, f(x + h) – f(x) - which is given by .…

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Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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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: b) Find the absolute maximum and minimum values of function f(x) = (x– 2)5 over the interval [-3, 4]

A: Absolute extrema can occur either at the points of local extrema or the boundaries of the interval.…

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

A: Use formula of avg rate of change

Q: The demand and supply functions for a product are modeled by Demand: p = −0.2x + 8 and Supply: p =…

A: The given demand function is p=-0.2x+8 and supply function is p=0.1x+2, where x is the number of…

Q: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

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Q: Given f(x) = 3x2 + 2x - 5, the average rate of change of f(x) with respect to x for the interval…

A: Given that, f(x)=3x2+2x-5 We need to find the average change of f(x) with respect to x for the…

Q: Find the average rates of change of C(x) (i) from x = 100 to x =103 and (ii) from x =100 to x = 101.…

A: The profit Px you get from fixing x devices is given by the equation Px=-1000+12x+0.05x2.

Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

A: The cost to produce a certain commodity is given by the function C(x)=50x+2000. The corresponding…

Q: A company finds that the rate at which the quantity of a product that consumers demand changes 6000…

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Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

A: A function is said to be increasing if f'x>0. A function is said to be decreasing if f'x<0.…

Q: The revenue​ (in dollars) from the sale of x car seats for infants is given by the following…

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Q: Given f(x) = x² + 7x, find the average rate of change of f(x) on the interval [ – 1, –1+ h]. Your…

A: Given,          fx=x2+7x on the interval -1,-1+hWe know that,           The average rate of change…

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

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Q: 2. For a substance C, the time rate of comversion is proportional to the square of the amount x of…

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Q: The profit from the sale of a certain product is increasing at a rate given by P'(x) = 970x1/3,…

A: To find P(x) we have to integrate P'(x)

Q: f(x) = 2x2 + 12x + 16 What is the average rate of change of f(x) on the interval [-3, -2]. -2 -1/2…

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Q: The revenue from the sale of x door snakes is given by R(x)=45x−0.3 dollars. The total cost is given…

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Q: Find the slope of the function f (x) = x 3 + 3x 2 + 3x + 1 at x = 0 1 0 3

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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: During a flu epidemic, the total number of students on a state university campus who had contracted…

A: "Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

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Q: A smokestack deposits soot on the ground with a concentration inversely proportional to the square…

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Q: The profit in dollars from the sale of x expensive watches is P(x)= 0.09x-3x+4x°4 -4400. Find the…

A: Given: P(x)=0.09x2-3x+4x0.4-4400

Q: A company's revenue from selling x units of an item is given as R = 1700z – z². If sales are…

A: A company's revenue R as a function of sales x is given by, R=1700x-x2 Differentiating with respect…

Q: The location of the point of inflection in the graph of the function y = x ln x is

A: Given: y = x ln x

Q: At any time t, the rate of growth of the population / of deer in a state park is proportional to the…

A: Solution of given question is written in below steps.

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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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 average rate of change of the function f(x) 2x2 2x- 2, on the interval x E [2,4]. Average…

A: The average rate of change between two input values is the total change of the function values…

Q: function f(x)=x^2+6x+5 determine the average rate of change of the function over the interval -5<x<3

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Q: Consider the function: g(x) = 2x + 6x 2 Find the average rate of change of g(x) between the points =…

A: We will Use the average rate of change formula to solve our given problem.

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: Given f(x)=−4x2+2x−2, find the average rate of change of f(x) from x=3 to x=t. Give your answer in…

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Q: The elevation of a path is given by f(x) = x^3 - 5x^2 + 30, measured in feet, where x measures…

A: The elevation as a function of path is given below.

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: The average cost per item for a product is given by: AC(x)= x^3/3-7x^2/2+12x+10 Where x is the…

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Q: Find the intervals of increase and decrease  for the function.   f(x)= ln(lnx-4)

A: Simple increasing and decreasing problem.....

Q: The cost of producing x bags of dog food is given by C(x) = 500 + V 100 + 50x – x where 0sxs5000.…

A: Given query is to find marginal cost function.

Q: The number of bacteria in a culture is given by the function n(t)=950e^0.35t where t is measured…

A: The number of bacteria in a culture is given by n(t) = 950e^{0.45t}e0.45t

Q: The average rate of change of the function f() = 3x² + 7x - 5 on the interval (0, 3] is O 16 O 10…

A: We need to find the average rate of change of the function f(x) = 3x2+7x-5 on [0, 3]. So,…

Q: 13. For the function f(x) = (x – 2)2 + 4 where is the function: a. increasing? b. decreasing? c.…

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Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

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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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