Questions from General Calculus


Q: If fave [a, b] denotes the average value of

If fave [a, b] denotes the average value of f on the interval [a, b] and a

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Q: Find the average value of the function on the given interval.

Find the average value of the function on the given interval.

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Q: Find the average value of the function on the given interval.

Find the average value of the function on the given interval.

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Q: It may surprise you to learn that the collision of baseball and

It may surprise you to learn that the collision of baseball and bat lasts only about a thousandth of a second. Here we calculate the average force on the bat during this collision by first computing t...

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Q: In this problem we calculate the work required for a pitcher to

In this problem we calculate the work required for a pitcher to throw a 90-miyh fastball by first considering kinetic energy. Suppose an object of mass m, moving in a straight line, is acted on by a f...

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Q: Sketch the region enclosed by the given curves and find its area

Sketch the region enclosed by the given curves and find its area.

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Q: (a) An outfielder fields a baseball 280 ft away from

(a) An outfielder fields a baseball 280 ft away from home plate and throws it directly to the catcher with an initial velocity of 100 ft/s. Assume that the velocity v(t) of the ball after t seconds sa...

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Q: Find the area of the region bounded by the given curves.

Find the area of the region bounded by the given curves.

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Q: Find the area of the region bounded by the given curves.

Find the area of the region bounded by the given curves.

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Q: Find the area of the region bounded by the given curves.

Find the area of the region bounded by the given curves.

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