Questions from General Calculus


Q: Find the critical numbers of the function. F(x

Find the critical numbers of the function. F(x) = x4/5 (x – 4)2

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Q: A cup of hot chocolate has temperature 80°C in a

A cup of hot chocolate has temperature 80°C in a room kept at 20°C. After half an hour the hot chocolate cools to 60°C. (a) What is the temperature of the chocolate after another half hour? (b) When w...

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Q: Find the critical numbers of the function. g(θ

Find the critical numbers of the function. g(θ) = 4θ – tan θ

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Q: Find the critical numbers of the function. f(θ

Find the critical numbers of the function. f(θ) = 2 cos θ + sin2 θ

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Q: Find the critical numbers of the function. h(t

Find the critical numbers of the function. h(t) = 3t – arcsin t

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Q: Find the critical numbers of the function. f(x

Find the critical numbers of the function. f(x) = x2 e-3x

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. g(x) = arccos√x

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Q: Find the critical numbers of the function. f(x

Find the critical numbers of the function. f(x) = x-2 ln x

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Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = 12 + 4x - x2, [0, 5]

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Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = 2x3 - 3x2 - 12x + 1, [-2, 3]

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