12. b (x) = on [1, 1 + h] x+3 Find the average rate of change of each function on the interval specified for real numbers b or h.

Q: Suppose the cost function of a product is given as C=3q -0.0014³. If the cost is increasing at a…

A:

Q: 3. A manufacturer determines that when x thousand units of a particular commodity are produced, the…

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Q: 4. Suppose f(x) = -3x+ log2x and g(x) = 2*. Find the AROC (average rate of change) of the composite…

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Q: for #16

A: Average rate of change of a function f(x) over an interval [a, b] can be found using the formula…

Q: 8. Suppose the derivative of the function y = f(x) is y' = (x – 1)*(x – 2)(x – 4). At what points,…

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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: (b) Find the instantaneous rate of change of g with respect to x at x = 3, or state that it does not…

A: 3. given graph of function is                                                       Also,…

Q: 2. Suppose that the marginal revenue for a company manufacturing coffee machines is given by…

A: Given expression for marginal revenue of the company is: Q=100-0.5x where, Q is the marginal revenue…

Q: 9. The rate at which the value, V, of a painting changest years after it is completed is given by…

A: Image is attached.

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.8x2 -…

A: The revenue (in dollars) from the sale of a product is given by, R=60x+0.8x2-0.003x3, where x is the…

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: 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: (4) Consider the graph of f(x) = Vr below. Is f(x) differentiable at r = 0? If so, what is f'(0) and…

A: Given function is fx=x3

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by…

A:

Q: If the total revenue function for a blender is R(x) = 41x – 0.01x² where x is the number of units…

A: Given that, the revenue R (in dollars) for a blender is given by  R(x) = 41x - 0.01x2 where x is the…

Q: Suppose that the marginal propensity to save is SP = 0.1 - dy (in billions of dollars) 7y + 2 and…

A: Given: The marginal propensity is The consumption is $ 7 billion and the disposable income is $ 0

Q: Suppose that h = 2x'y, where both x and y are changing with time. At a certain instant when x = 1…

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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: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A:

Q: 4. Suppose that the marginal propensity to consume is dc 0.7-ey (in billions of dollars) dy and that…

A:

Q: 2. Given the graph of derivative f'(x), find: a) Any interval (s) where f(x) is decreasing b) Any…

A: the function is decreasing when  as we can see from the graph,  on the interval  and  which means…

Q: 11. Show that if positive functions f(x) and g(x) grow at the same rate as x→∞, then f = 0(g) and g…

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Q: If the average rate of change of a function between x = a and x = b is negative, then is the…

A: The rate of change of function between two points of a curve represents the slope of the curve.   If…

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: 10. Estimate the instantaneous rate of change of f(x) = interval with h= 0.001. Round to 2 decimal…

A: Let us find the instantaneous rate of change of the given function in the next step.

Q: Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100–0.5x…

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Q: A company has a marginal profit function given by P^1(x) = −2x + 140 where P^1(x) is in dollars per…

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Q: 8 is The average rate of change of g from x = 5 to x = Question Help:

A:

Q: In an effort to make the distribution of income more nearly equal, the government of a country…

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Q: The line with the rule y = 3x + 4 intersects the curve with equation ¦(x) = x2 at the points (-1, 1)…

A: Given:- The line with the rule y = 3x + 4 intersects the curve with equation f(x) = x2 at the points…

Q: Suppose that z = x³y²2, where both x and y are changing with time. At a certain instant when x = 1…

A: The product rule of differentiation states that ddtfg=fdgdt+gdfdt. The power rule of differentiation…

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 30x + 0.8x2 −…

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Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

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Q: 18. Estimate the instantancous rate of change of the function f(x) = x' +4x - 11x-30 at x = 1. Round…

A: Given,  f(x)=x3+4x2-11x-30, x=1

Q: 3 Find the average rate of change of g(x) = 8x² + on the interval [-3,2] x3

A: topic -   average

Q: You are a process control engineer in a water purification plant. In a certain subprocess, water…

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x² -…

A: Given: Revenue function from the sale of a product is given by: ⇒R=20x+0.5x2-0.002x3

Q: 24. Estimate instantaneous rate of change of each function at the given x value using a centered…

A: Given :-  The instantaneous rate of change of each function at the given x value using a centred…

Q: A radioactive substance is decaying at a rate represented by y = h(t) = Rọa“, in millirems per hour.…

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Q: Suppose that the yield (measured in kg/ ha) of an agricultural crop is represented by the function…

A: We need to find rate.

Q: 3- Suppose that the second derivative of the function y = f(x) is y" = (x + 1)(x - 2). For what…

A: 1)y'' = (x+1)(x-2)2)y' = (x-1)2(x-2)(x-4)

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

A:

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: (2) Assume that we have a Cobb-Douglas production function for a certain industry: Q = CL°K®, where…

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Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5V9x2 –…

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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…

A: