Questions from General Calculus


Q: A runner sprints around a circular track of radius 100 m at

A runner sprints around a circular track of radius 100 m at a constant speed of 7 m/s. The runner’s friend is standing at a distance 200 m from the center of the track. How fast is the distance betwee...

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Q: Consider the following problem: Find two numbers whose sum is 23

Consider the following problem: Find two numbers whose sum is 23 and whose product is a maximum. (a). Make a table of values, like the following one, so that the sum of the numbers in the first two co...

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Q: Consider the following problem: A box with an open top is

Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides....

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: Find two numbers whose difference is 100 and whose product is a

Find two numbers whose difference is 100 and whose product is a minimum.

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Q: Find two positive numbers whose product is 100 and whose sum is

Find two positive numbers whose product is 100 and whose sum is a minimum.

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Q: Given that which of the following limits are indeterminate forms? For

Given that which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible.

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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