Questions from General Calculus


Q: Use series to evaluate the following limit. /

Use series to evaluate the following limit.

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Q: The force due to gravity on an object with mass m at

The force due to gravity on an object with mass m at a height h above the surface of the earth is where R is the radius of the earth and t is the acceleration due to gravity for an object on the surfa...

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Q: (a) the Trapezoidal Rule, (b) the

(a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule with n = 10 to approximate the given integral. Round your answers to six decimal places.

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Q: Find the foci and vertices and sketch the graph. /

Find the foci and vertices and sketch the graph.

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Use the Ratio Test to determine whether the series is convergent or

Use the Ratio Test to determine whether the series is convergent or divergent.

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Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Find an equation of the parabola with focus (2, 1

Find an equation of the parabola with focus (2, 1) and directrix x = -4.

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