Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by (x)=112,500/x+225  What is the cost per ton for x = 100?

Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

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Q: Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given the development of the iPod that includes the stock price of Apple in which it grows rapidly…

Q: The rate of growth, in dollars per year, of the net worth, f(t), of a company is given by…

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Q: Find the second derivative of the function.

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Q: Find the second derivative of the function. f(x) = 4x3/2

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Q: A company's revenue from selling x units of an item is given as R = 1600x - x. If sales are…

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Q: What is the derivative of 2.x + 3 f (x) = 2x2 + 7x + 6

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Q: Find the average rate of change of g(x) = - 3x + 4 from x = – 4 to a = 1. -

A: Given gx=-3x3+4We have to find average rate of change from x=-4 to x=1when…

Q: Suppose the quantity x of Super Titan radial tires made available each week in the marketplace is…

A: Given data:   The expression for the price of Super Titan radial tires is p-x2/2=48. The given rate…

Q: Find the average rate of change of h (x)=-2x +4x from x=-2 to x=2. Simplify your answer as much as…

A:

Q: Suppose the quantity demanded weekly of the Super Titan radial tires is related to its unit price by…

A: Rate of change of x

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

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Q: solve for first and second derivative (x2 + 8)2(x − 8)

A: Let

Q: 1.) y = (3x² – 1 ) (4x +7 )

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Q: Suppose in 2009, there were about 8 million Internet users in the Philippines. The number of…

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Q: A manufacturer of handcrafted wine racks has deter- mined that the cost to produce x units per month…

A: Given: C=0.2x2+10,000

Q: The number of bacteria growing in an incubation culture increases with time according to n(t) =…

A: The number of bacteria growing in an incubator culture increases with time according to the function…

Q: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly heating…

A: Given: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly…

Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, in dollars. Find the rate at which this…

A: Find the rate at which this average cost is changing when 10 shirts are being produced.

Q: Solve the problem. A loaf of bread is removed from an oven at 350°F and cooled in a room whose…

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Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: Refer to the question we have to find when the Egyptian die. It is given that amount of carbon-14…

Q: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly heating…

A: It is given that present heating cost per month is $200. As the heating cost reduced after…

Q: Find the second derivative of the function. f(x) = 15x5/2

A: Consider the following formula: ddxxn=nxn-1 Consider the following function: fx=15x52 Differentiate…

Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

Q: Suppose the percent of males who enrolled in college within 12 months of high school graduation is…

A: Given:         Percent of males enrolled in college is    y= -0.126x + 55.72         Percent of…

Q: true or false  if a person works at the rate of 2/15 of the job per hour, then at the end of 3…

A: The work done by the person in 1 hour = 215 The work done in 3 hours = 215×3=615 Therefore, 615 of…

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: Find the second derivative of the function. f(x) = (3x° + 6)*

A:

Q: An average young person in the United States gains weight at the rate of 16(x - 10)-1/2 pounds per…

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

Q: Find the second derivative of the function f(x) = 8/(x − 2)2

A: Find the second derivative of the function f(x) = 8/(x − 2)2

Q: Suppose the sales of a company are given by S=200x+800 where x is measured in years and x=0…

A: To find the sale of a company S where x=0.

Q: y = ln (7x³ + 5)* 4

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Q: Find the second derivative of the function.   f(x) = x2 + 7x − 4

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Q: Find the average rate of change of g (x) = 2x²-9x from x=2 to x = 6. Simplify your answer as much as…

A: The  average rate of change of function f(x) from the point x=a to x=b is given by:-    (f(b) -…

Q: What is the rate of change for h(x) = 2x2 + 7 on the interval [2, 9]?

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Q: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09 + 1.1ln(x),…

A: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09+1.1lnx, where…

Q: In times of crisis like the Covid-19 pandemic, the basic needs of humans become in demand. The…

A:

Q: Find the average rate of change of g (x) = 2x - 8x from x=2 to x= 6. Simplify your answer as much as…

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Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: Suppose you have a clothes dryer that uses 4000 watts of power and run it for an average year f 1…

A: To determine the operational cost of the hair dryer.

Q: find the average rate of change of g(x)= -2x3 +5x2 from x=-1 to x=2 simplify your answer as much as…

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Q: An oil tanker is leaking oil at a rate of L ′ ( x ) = x e ^(− x/2) barrels per hour, where x is the…

A:

Q: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

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Q: derivative of x2+8x divided by the square root of x4+7

A: Here division rule of differenciation we can find the derivative of required function.

Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

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Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…

Q: Find the second derivative of the function. f(x) = 7x3/2 f "(x) =

A: