Questions from General Calculus


Q: The graph of function has one relative extreme point. Find it

The graph of function has one relative extreme point. Find it (giving both x- and y-coordinates) and determine if it is a relative maximum or a relative minimum point. Do not include a sketch of the g...

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Q: Determine which function is the derivative of the other.

Determine which function is the derivative of the other.

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Q: Determine which function is the derivative of the other.

Determine which function is the derivative of the other.

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Q: Consider the graph of g(x) in Fig. 17

Consider the graph of g(x) in Fig. 17. (a) If g(x) is the first derivative of f (x), describe f (x) when x = 2? (b) If g(x) is the second derivative of f (x), describe f (x) when x = 2? Figure 17:...

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Q: The population (in millions) of the United States (excluding

The population (in millions) of the United States (excluding Alaska and Hawaii) t years after 1800 is given by the function f (t) in Fig. 18(a). The graphs of f ‘(t) and f â...

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Q: Differentiate. y = (x – 1/x

Differentiate. y = (x – 1/x)-1

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Q: When a mutual fund company charges a fee of 0.47

When a mutual fund company charges a fee of 0.47% on its index funds, its assets in the fund are $41 billion. And when it charges a fee of 0.18%, its assets in the fund are $300 billion. (Source: The...

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Q: Index-Fund Fees Suppose that the cost function in Exercise 45

Index-Fund Fees Suppose that the cost function in Exercise 45 is C(x) = -2.5x + 1, where x% is the index-fund fee. (The company has a fixed cost of $1 billion, and the cost decreases as a function of...

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Q: The graph of the function has one relative maximum and one relative

The graph of the function has one relative maximum and one relative minimum point. Find these points using the first-derivative test. Use a variation chart as in Example 1. Variation Chart from Examp...

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Q: The graph of the function has one relative maximum and one relative

The graph of the function has one relative maximum and one relative minimum point. Find these points using the first-derivative test. Use a variation chart as in Example 1. Variation Chart from Examp...

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