Questions from General Calculus


Q: Determine whether the series is convergent or divergent. If it is

Determine whether the series is convergent or divergent. If it is convergent, find its sum.

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Q: (a) Explain why the function / is a

(a) Explain why the function is a probability density function. (b) Find P(X (c) Calculate the mean. Is the value what you would expect?

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Q: Use integration by parts to prove the reduction formula. /

Use integration by parts to prove the reduction formula.

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Q: Lengths of human pregnancies are normally distributed with mean 268 days and

Lengths of human pregnancies are normally distributed with mean 268 days and standard deviation 15 days. What percentage of pregnancies last between 250 days and 280 days?

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Q: The length of time spent waiting in line at a certain bank

The length of time spent waiting in line at a certain bank is modeled by an exponential density function with mean 8 minutes. (a) What is the probability that a customer is served in the first 3 minut...

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Find the length of the curve. /

Find the length of the curve.

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Q: (a) Find the length of the curve /

(a) Find the length of the curve (b) Find the area of the surface obtained by rotating the curve in part (a) about the y-axis.

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Q: Identify the curve by finding a Cartesian equation for the curve.

Identify the curve by finding a Cartesian equation for the curve.

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Q: Let C be the arc of the curve y = 2/(

Let C be the arc of the curve y = 2/(x + 1) from the point (0,2) to (3, 1 2 ). Use a calculator or other device to find the value of each of the following, correct to four decimal places. (a) The l...

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