Questions from General Calculus


Q: The graph shows the fuel consumption of a car (measured in

The graph shows the fuel consumption of a car (measured in gallons per hour) as a function of the speed of the car. At very low speeds the engine runs inefficiently, so initially decreases as the spee...

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Q: Describe how the graph of f varies as varies. Graph several

Describe how the graph of f varies as varies. Graph several members of the family to illustrate the trends that you discover. In particular, you should investigate how maximum and minimum points and i...

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Q: Describe how the graph of f varies as varies. Graph several

Describe how the graph of f varies as varies. Graph several members of the family to illustrate the trends that you discover. In particular, you should investigate how maximum and minimum points and i...

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Q: Describe how the graph of f varies as varies. Graph several

Describe how the graph of f varies as varies. Graph several members of the family to illustrate the trends that you discover. In particular, you should investigate how maximum and minimum points and i...

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Q: A boat leaves a dock at 2:00 PM and travels

A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 3:00 PM. At what time were the two boats clo...

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Q: An oil refinery is located on the north bank of a straight

An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east...

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Q: Suppose the refinery in Exercise 35 is located 1 km north of

Suppose the refinery in Exercise 35 is located 1 km north of the river. Where should P be located? Exercise 35: An oil refinery is located on the north bank of a straight river that is 2 km wide. A...

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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: A woman at a point A on the shore of a circular

A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time (see the figur...

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Q: Find an equation of the line through the point (3,

Find an equation of the line through the point (3, 5) that cuts off the least area from the first quadrant.

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