Questions from General Calculus


Q: Find the sum of the series. /

Find the sum of the series.

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Q: Find the sum of the series. /

Find the sum of the series.

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Find the sum of the series. /

Find the sum of the series.

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Q: Find the sum of the series. /

Find the sum of the series.

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Q: Find the Taylor polynomial T3(x) for the function f

Find the Taylor polynomial T3(x) for the function f centered at the number a. Graph f and T3 on the same screen.

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Q: Suppose you know that / and the Taylor series of

Suppose you know that and the Taylor series of f centered at 4 converges to f(x) for all x in the interval of convergence. Show that the fifth degree Taylor polynomial approximates f(5) with error les...

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Q: Find the sum of the series. /

Find the sum of the series.

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Q: (a) Suppose the tank is cylindrical with height 6 ft

(a) Suppose the tank is cylindrical with height 6 ft and radius 2 ft and the hole is circular with radius 1 inch. If we take t = 32 ft/s2, show that h satisfies the differential equation (b) Solve thi...

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Q: Because of the rotation and viscosity of the liquid, the theoretical

Because of the rotation and viscosity of the liquid, the theoretical model given by Equation 1 isn’t quite accurate. Instead, the model is often used and the constant k (...

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