The cost (in dollars) of producing x units of a certain commodity is given below. C(x) = 5000 + 12x + 0.15x2 (a) Find the average rate of change of C with respect to x when the production is given value. (i) x = 105 |per unit (ii) x = 101 $4 |per unit (b) Find the instantaneous rate of change of C with respect to x when x = 100. (T $ per unit %24

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A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

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

A: average rate of change= -7 for detail...go through the solution

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Q: Calculate derivative F(x) = (7-10x) (7+10x) by expanding or simplifying the function df/dx

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Q: w many times between two points do we have an Instantaneous Rate Of change equalling Average ro

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A: Explained below

Q: 7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the…

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Q: F(x)=8x-2; X=2, x=3 How do I find the average rate of change and net rate

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A: Average rate of change of f(x) is 14.

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Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

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Q: 5. Give the average rate of change over the interval 0 <x< 5

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Q: A steel plate is in the shape of a right triangle. Its height is decreasing at the rate of 0.5cm/min…

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Q: the amount of photosynthesis that takes place in a plant depend on the intensity of light x…

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A: We will use the average rate of change formula. f(x+h)-f(x)h

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