Questions from General Calculus


Q: Refer to Fig. 23, which contains the graph of f

Refer to Fig. 23, which contains the graph of f ‘(x), the derivative of the function f (x). Figure 23: Explain why f (x) has an inflection point at x = 4.

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Q: Refer to Fig. 23, which contains the graph of f

Refer to Fig. 23, which contains the graph of f ‘(x), the derivative of the function f (x). Figure 23: If f (6) = 3, what is the equation of the tangent line to the graph of y = f...

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Q: Refer to Fig. 23, which contains the graph of f

Refer to Fig. 23, which contains the graph of f ‘(x), the derivative of the function f (x). Figure 23: If f (6) = 8, what is an approximate value of f (6.5)?

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Q: Refer to Fig. 23, which contains the graph of f

Refer to Fig. 23, which contains the graph of f ‘(x), the derivative of the function f (x). Figure 23: If f (0) = 3, what is an approximate value of f (.25)?

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Q: Refer to Fig. 23, which contains the graph of f

Refer to Fig. 23, which contains the graph of f ‘(x), the derivative of the function f (x). Figure 23: If f (0) = 3, what is the equation of the tangent line to the graph of y = f...

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Q: Melting snow causes a river to overflow its banks. Let h

Melting snow causes a river to overflow its banks. Let h (t) denote the number of inches of water on Main Street t hours after the melting begins. (a) If h’(100) = 13, by approximately how much will t...

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Q: T (t) is the temperature on a hot summer day

T (t) is the temperature on a hot summer day at time t hours. (a) If T’(10) = 4, by approximately how much will the temperature rise from 10:00 to 10:45? (b) Which of the following two conditions is t...

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Q: Decide which of the curves in Fig. 24 could not be

Decide which of the curves in Fig. 24 could not be the graph of f (x) = (3x2 + 1)4 for x ≥ 0. Decide which of the curves in Fig. 24 could not be the graph of f (x) = (3x2 + 1)4 for x...

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Q: By looking at the first derivative, decide which of the curves

By looking at the first derivative, decide which of the curves in Fig. 24 could not be the graph of f (x) = x3 - 9x2 + 24x + 1 for x ≥ 0. Figure 24:

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Q: By looking at the second derivative, decide which of the curves

By looking at the second derivative, decide which of the curves in Fig. 25 could be the graph of f (x) = x5/2. Figure 25:

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