Questions from General Calculus


Q: Let f (x) = x / x - 2,

Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. f (x + 1) g(x + 1)

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Q: Refer to the function f (r), which gives the cost

Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. Interpret the fact that the point (3...

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Q: Refer to the function f (r), which gives the cost

Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. What is the additional cost of incre...

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Q: Refer to the function f (r), which gives the cost

Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. How much is saved by increasing the...

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Q: Refer to the cost and revenue functions in Fig. 17.

Refer to the cost and revenue functions in Fig. 17. The cost of producing x units of goods is C(x) dollars and the revenue from selling x units of goods is R(x) dollars. What are the revenue and cos...

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Q: Refer to the cost and revenue functions in Fig. 17.

Refer to the cost and revenue functions in Fig. 17. The cost of producing x units of goods is C(x) dollars and the revenue from selling x units of goods is R(x) dollars. At what level of production...

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Q: Refer to the cost and revenue functions in Fig. 17.

Refer to the cost and revenue functions in Fig. 17. The cost of producing x units of goods is C(x) dollars and the revenue from selling x units of goods is R(x) dollars. At what level of production...

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Q: Refer to the cost and revenue functions in Fig. 17.

Refer to the cost and revenue functions in Fig. 17. The cost of producing x units of goods is C(x) dollars and the revenue from selling x units of goods is R(x) dollars. What is the profit from the...

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Q: Refer to the cost function in Fig. 18.

Refer to the cost function in Fig. 18. The point (1000, 4000) is on the graph of the function. Restate this fact in terms of the function C(x).

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Q: Refer to the cost function in Fig. 18.

Refer to the cost function in Fig. 18. Translate the task “solve C(x) = 3500 for x” into a task involving the graph of the function.

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