Questions from General Calculus


Q: Test the series for convergence or divergence. /

Test the series for convergence or divergence.

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Q: Snow began to fall during the morning of February 2 and continued

Snow began to fall during the morning of February 2 and continued steadily into the afternoon. At noon a snowplow began removing snow from a road at a constant rate. The plow traveled 6 km from noon t...

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Q: The Fibonacci sequence was defined in Section 11.1 by the

The Fibonacci sequence was defined in Section 11.1 by the equations Show that each of the following statements is true.

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Q: Determine whether the series is convergent or divergent. If it is

Determine whether the series is convergent or divergent. If it is convergent, find its sum.

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Q: Use a Maclaurin series to obtain the Maclaurin series for the given

Use a Maclaurin series to obtain the Maclaurin series for the given function.

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Q: Determine whether each integral is convergent or divergent. Evaluate those that

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.

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Q: The Cantor set, named after the German mathematician Georg Cantor (

The Cantor set, named after the German mathematician Georg Cantor (1845–1918), is constructed as follows. We start with the closed interval [0, 1] and remove the open interval /.That...

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Q: (a) A sequence {an} is defined recursively by

(a) A sequence {an} is defined recursively by the equation an = ½ (an-1 + an-2) for n ≥ 3, where a1 and a2 can be any real numbers. Experiment with various values of a1...

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Q: In the figure at the right there are infinitely many circles approaching

In the figure at the right there are infinitely many circles approaching the vertices of an equilateral triangle, each circle touching other circles and sides of the triangle. If the triangle has side...

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Q: (a) What is a sequence? (b)

(a) What is a sequence? (b) What does it mean to say that / (c) What does it mean to say that /

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