Questions from General Calculus


Q: The rate of growth of a certain cell culture is proportional to

The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population of 1 million cells grew to 9 million. How large will the cell culture be after 15 hours?

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Q: The amount in grams of a certain radioactive material present after t

The amount in grams of a certain radioactive material present after t years is given by the function P(t). Match each of the following answers with its corresponding question. Answers a. Solve P(t) =...

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Q: Differentiate the following functions. f (x) = e1

Differentiate the following functions. f (x) = e1/x

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Q: Differentiate the following functions. f (x) = e

Differentiate the following functions. f (x) = e√x

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Q: Differentiate the following functions. f (x) = e

Differentiate the following functions. f (x) = e√(x2+1)

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Q: Differentiate the following functions. f (x) = -

Differentiate the following functions. f (x) = -7ex/7

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Q: A function h (x) is defined in terms of a

A function h (x) is defined in terms of a differentiable f (x). Find an expression for h(x). h(x) = xf (x)

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Q: Find the logarithmic derivative and then determine the percentage rate of change

Find the logarithmic derivative and then determine the percentage rate of change of the function at the point indicated. f (t) = t2 at t = 10 and t = 50

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Q: The price of wheat per bushel at time t (in months

The price of wheat per bushel at time t (in months) is approximated by f (t) = 4 + .001t + .01e-t. What is the percentage rate of change of f (t) at t = 0? t = 1? t = 2?

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Q: The wholesale price in dollars of one pound of ground beef is

The wholesale price in dollars of one pound of ground beef is modeled by the function f (t) = 3.08 + .57t - .1t2 + .01t3, where t is measured in years from January 1, 2010. (a) Estimate the price in 2...

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