Questions from General Calculus


Q: A model rocket is fired vertically upward from rest. Its acceleration

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t) = 60t, at which time the fuel is exhausted and it becomes a freely “falling” body. Fourteen se...

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Q: A high-speed bullet train accelerates and decelerates at the rate

A high-speed bullet train accelerates and decelerates at the rate of 4 ft/s2. Its maximum cruising speed is 90 mi/h. (a) What is the maximum distance the train can travel if it accelerates from rest u...

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Q: Find the most general antiderivative of the function. (Check your

Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) = 4x + 7

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Q: Find the most general antiderivative of the function. (Check your

Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) = x2 - 3x + 2

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Q: Find the most general antiderivative of the function. (Check your

Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) = 2x3 – 2/3x2 + 5x

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Q: Find the most general antiderivative of the function. (Check your

Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) = 6x5 - 8x4 - 9x2

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Q: Find the most general antiderivative of the function. (Check your

Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) = x(12x + 8)

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Q: Rainbows are created when raindrops scatter sunlight. They have fascinated mankind

Rainbows are created when raindrops scatter sunlight. They have fascinated mankind since ancient times and have inspired attempts at scientific explanation since the time of Aristotle. In this project...

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Q: In this project we investigate the most economical shape for a can

In this project we investigate the most economical shape for a can. We first interpret this to mean that the volume V of a cylindrical can is given and we need to find the height h and radius r that m...

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If f ‘(x) < 0 for 1 < x < 6, then f is decrea...

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