Questions from General Calculus


Q: Evaluate the integral. f-10 (2x – ex

Evaluate the integral. f-10 (2x – ex) dx

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Q: If a diver of mass m stands at the end of a

If a diver of mass m stands at the end of a diving board with length L and linear density p, then the board takes on the shape of a curve y = f (x), where E and are positive constants that depend on...

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Q: For what values of the constants a and b is a point

For what values of the constants a and b is a point of inflection of the curve y = x3 + ax2 + bx + 1?

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Q: Evaluate the limit. lim x→0 tan πx/

Evaluate the limit. lim x→0 tan πx/ln (1 + x)

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Q: Evaluate the limit. lim x→0 1 – cos

Evaluate the limit. lim x→0 1 – cos x / x2 + x

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Q: Evaluate the limit. lim x→0 e4x – 1

Evaluate the limit. lim x→0 e4x – 1 – 4x /x2

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Q: Find the local and absolute extreme values of the function on the

Find the local and absolute extreme values of the function on the given interval.

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Q: Evaluate the limit. lim x→∞ e4x -1 –

Evaluate the limit. lim x→∞ e4x -1 – 4x/x2

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Q: Evaluate the limit. lim x→∞ x3 e-x

Evaluate the limit. lim x→∞ x3 e-x

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Q: Evaluate the limit. lim x→0+ x2 ln

Evaluate the limit. lim x→0+ x2 ln x

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