Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005x2 + 28x + 3000   (a) Find the average rate of change of total cost when production changes from 100 to 500 printers. (b) Find the average rate of change of total cost when production changes from 500 to 700 printers.

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Q: 2. how does the knowledge of differentiability and continuity determine the derivative of functions?

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

A: Given that: Profit function: P(x)=-400x2+6800x-12000

Q: C20+3xHo

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Q: Find the instantaneous rate of change in f(x)= 3/x^2 at x=-2.

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Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: The given function of production cost is To find average rate of change of total cost ,use formula

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

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Q: Solve for the second derivative of f(x)=2x-2/x+5

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Q: What is the average rate of change of p(x)=3x3-15x2+x-2 from x=2 to x=4 ?

A: To find what is the average rate of change of p(x)=3x3-15x2+x-2 from x=2 to x=4

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A: Given that  C(x) = 930 + 0.03x + 0.0004x2

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Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

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Q: Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily…

A: Cx=0.005x3-0.5x2+28x+300 a). The extra cost of increasing daily production from 50 to 51 items is,…

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A: Given that a company can produce 12,000 units when the number of hours of skilled labor y and…

Q: A company discovers that to produce x = 560 new electronic parts, it will cost y = $54,360. To…

A: From the given information coordinates are (560,54360) and (880,81880)

Q: Find the derivative of function (x+2)² (x – 1)3* f(x) -

A: f(x) = x+22x-13f'(x) = x-13×2x-2-x+223(x-1)2x-16f'(x) = x-12x+22x-1-3x+2x-14f'(x) = x+22x-2-3x-6x-14

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given,         The total cost in dollars from the production of x printers is given by…

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

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Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

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Q: A cigar manufacturer produces x cases of cigars per day at a daily cost of 50x(x + 200)>(x + 100)…

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Q: Solve the derivative of f(x)=−1/√2 x +2x

A: Given- fx=-12x+2x To find- The derivative of the above function. Formula used- Using the power rule…

Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: 3. Tak-gu baked 10 loaves of bread in 1 hour. After that, he baked a dozen of bread in 80 minutes…

A: We have three points,  A = (60 min, 10 )  B = (80 min, 12 )  C = (90 min, 12)    Hence, we have…

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Q: 3- Suppose a student carrying a flu virus returns to an isolated college campus of 8000 students. If…

A: let the number of students infected is x, therefore, the number of students not infected is 8000-x…

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Q: A liquid form of antibiotic manufactured by a pharmaceutical firm is sold in bulk with a total…

A: Total production cost : C(x)=500,000+80x+0.003x2

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x +5x…

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Q: If the total revenue function for a blender is R(x) = 52x − 0.01x2 where x is the number of units…

A: We have the total revenue function R(x) = 52x − 0.01x2.

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: Compute the average rate of change of f(x) = x2-1/x on the interval of [2,4]. Please show me each…

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Q: Determine the instantaneous rate of change of the function f(x) x4 at the point where x = -2.

A: instantaneous rate of change of a function is differentiation of function at that point

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

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Q: Estimate the average rate of change from  x = 2  to  x = 5.

A: We are given a graph of a function and we are asked to find average rate of change from x=2 to x=5.…

Q: Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2…

A: average rate of change of cost between point [a,b] is given by

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

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Q: find the average rate of change for f(x)= 3x2-x+5 from x=2 to x=2+h in simplified form

A: Given function:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given,          The total cost in dollars from the production of x printers is given by…

Q: Solve the derivative of f(x)=−1/√5 x.

A: we have to find the derivative. f(x)=-15x

Q: What is the average rate of change of f between x=3 and x=10

A:

Q: Suppose to tal cost indollars from the production of X printers is given by C/X=.000xt o005x²+28X+…

A:

Exponential Growth Model

The relation that represents an exponential function is: