Questions from General Calculus


Q: a. Sketch the graph of f(x) =

a. Sketch the graph of f(x) = 6 − x by starting with the graph of y = √x and using the transformations of Section 1.3. b. Use the graph from part (a) to sketch the graph of f’. c. Use the defini...

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Q: a. If f(x) = x4 + 2x,

a. If f(x) = x4 + 2x, find f’(x). b. Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f’.

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Q: a. If f(x) = x + 1/

a. If f(x) = x + 1/x, find f’(x). b. Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f’.

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Q: The unemployment rate U(t) varies with time. The

The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in the US labor force from 2003 to 2012. a. What is the meaning of U’(t)? What are its unit...

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Q: The table gives the number N(t), measured in thousands

The table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery procedures performed in the United States for various years t. a. What is the meaning of Nâ€...

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Q: Determine the infinite limit. /

Determine the infinite limit.

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Q: The table gives the height as time passes of a typical pine

The table gives the height as time passes of a typical pine tree grown for lumber at a managed site. If H(t) is the height of the tree after t years, construct a table of estimated values for H&acir...

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Q: Water temperature affects the growth rate of brook trout. The table

Water temperature affects the growth rate of brook trout. The table shows the amount of weight gained by brook trout after 24 days in various water temperatures. If W(x) is the weight gain at temper...

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Q: Let P represent the percentage of a city’s electrical power that is

Let P represent the percentage of a city’s electrical power that is produced by solar panels t years after January 1, 2000. a. What does dP/dt represent in this context? b. Interpr...

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Q: Suppose N is the number of people in the United States who

Suppose N is the number of people in the United States who travel by car to another state for a vacation this year when the average price of gasoline is p dollars per gallon. Do you expect dN/dp to be...

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