Questions from General Calculus


Q: Find the area under the curve y = cos t from t

Find the area under the curve y = cos t from t = 0 to t = π/2.

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Q: Find the area under the curve y = sin 2t from t

Find the area under the curve y = sin 2t from t = 0 to t = π/4.

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Q: A person’s blood pressure P at time t (in seconds)

A person’s blood pressure P at time t (in seconds) is given by P = 100 + 20 cos 6t. (a) Find the maximum value of P (called the systolic pressure) and the minimum value of P (called the diastolic pres...

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Q: For the production function f (x, y)

For the production function f (x, y) = 60 x3/4 y1/4 considered in Example 8, think of f (x, y) as the revenue when x units of labor and y units of capital are used. Under actual operating condition...

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Q: The basal metabolism (BM) of an organism over a certain

The basal metabolism (BM) of an organism over a certain time period may be described as the total amount of heat in kilocalories (kcal) that the organism produces during this period, assuming that the...

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Q: As h approaches 0, what value is approached by

As h approaches 0, what value is approached by

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Q: As h approaches 0, what value is approached by

As h approaches 0, what value is approached by

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Q: The average weekly temperature in Washington, D.C., t

The average weekly temperature in Washington, D.C., t weeks after the beginning of the year is The graph of this function is sketched in Fig. 12. (a) What is the average weekly temperature at week 1...

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Q: The number of hours of daylight per day in Washington, D

The number of hours of daylight per day in Washington, D.C., t weeks after the beginning of the year is The graph of this function is sketched in Fig. 13. (a) How many hours of daylight are there af...

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = sin 4t

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