Questions from General Calculus


Q: A small orchard yields 25 bushels of fruit per tree when planted

A small orchard yields 25 bushels of fruit per tree when planted with 40 trees. Because of overcrowding, the yield per tree (for each tree in the orchard) is reduced by 12 bushel for each additional t...

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Q: A publishing company sells 400,000 copies of a certain book

A publishing company sells 400,000 copies of a certain book each year. Ordering the entire amount printed at the beginning of the year ties up valuable storage space and capital. However, printing the...

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Q: If the demand equation for a monopolist is p = 150 -

If the demand equation for a monopolist is p = 150 - .02x and the cost function is C(x) = 10x + 300, find the value of x that maximizes the profit.

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Q: Jane wants to drive her tractor from point A on one side

Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field, as shown in Fig. 7. Jane could drive her tractor directly across the...

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Q: A travel agency offers a boat tour of several Caribbean islands for

A travel agency offers a boat tour of several Caribbean islands for 3 days and 2 nights. For a group of 12 people, the cost per person is $800. For each additional person above the 12-person minimum,...

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Q: Figure 1 contains the graph of f ‘(x), the derivative

Figure 1 contains the graph of f ‘(x), the derivative of f (x). Use the graph to answer the following questions about the graph of f (x). (a) For what values of x is the graph of f (...

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Q: Figure 2 shows the graph of the function f (x)

Figure 2 shows the graph of the function f (x) and its tangent line at x = 3. Find f (3), f ‘(3), and f’’ (3). Figure 2:

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Q: The straight line in the figure is tangent to the graph of

The straight line in the figure is tangent to the graph of f (x). Find f (4) and f ‘(4).

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Q: Draw the graph of a function f (x) for which

Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f (x) and f (x) increasing

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Q: Draw the graph of a function f (x) for which

Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f (x) and f (x) decreasing

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