Questions from General Calculus


Q: Refer to Fig. 3, where s(t) is

Refer to Fig. 3, where s(t) is the number of feet traveled by a person after t seconds of walking along a straight path. Figure 3: How far has the person traveled after 6 seconds?

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Q: Refer to Fig. 3, where s(t) is

Refer to Fig. 3, where s(t) is the number of feet traveled by a person after t seconds of walking along a straight path. Figure 3: What is the person’s average velocity from time...

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Q: Refer to Fig. 3, where s(t) is

Refer to Fig. 3, where s(t) is the number of feet traveled by a person after t seconds of walking along a straight path. Figure 3: What is the person’s velocity at time t = 3?

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Q: Refer to Fig. 3, where s(t) is

Refer to Fig. 3, where s(t) is the number of feet traveled by a person after t seconds of walking along a straight path. Figure 3: Without calculating velocities, determine whether the person is tr...

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Q: A manufacturer estimates that the hourly cost of producing x units of

A manufacturer estimates that the hourly cost of producing x units of a product on an assembly line is C(x) = .1x3 - 6x2 + 136x + 200 dollars. (a) Compute C(21) - C(20), the extra cost of raising the...

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Q: The number of people riding the subway daily from Silver Spring,

The number of people riding the subway daily from Silver Spring, Maryland, to Washington’s Metro Center is a function f (x) of the fare, x cents. If f (235) = 4600 and f ‘(235) = -100, approximate the...

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Q: Let h(t) be a boy’s height (in inches

Let h(t) be a boy’s height (in inches) after t years. If h’(12) = 1.5, how much will his height increase (approximately) between ages 12 and 12 ½ ?

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Q: If you deposit $100 in a savings account at the end

If you deposit $100 in a savings account at the end of each month for 2 years, the balance will be a function f (r) of the interest rate, r%. At 7% interest (compounded monthly), f (7) = 2568.10 and f...

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Q: Determine whether the following limits exist. If so, compute the

Determine whether the following limits exist. If so, compute the limit. lim x→2 (x2 – 4) / (x – 2)

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Q: Determine whether the following limits exist. If so, compute the

Determine whether the following limits exist. If so, compute the limit. lim x→3 1 / (x2 – 4x + 3)

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