Questions from General Calculus


Q: Find the value of c if /

Find the value of c if

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Q: Find the value of c such that /

Find the value of c such that

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Q: In Example 9 we showed that the harmonic series is divergent.

In Example 9 we showed that the harmonic series is divergent. Here we outline another method, making use of the fact that / If sn is the nth partial sum of the harmonic series, show that / Why does th...

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Q: A peach pie is taken out of the oven at 5:

A peach pie is taken out of the oven at 5:00 pm. At that time it is piping hot, 100 8C. At 5:10 pm its temperature is 80 8C; at 5:20 pm it is 65 8C. What is the temperature of the room?

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Q: Graph the curves y = xn, 0 < x < 1

Graph the curves y = xn, 0

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Q: The figure shows two circles C and D of radius 1 that

The figure shows two circles C and D of radius 1 that touch at P. The line T is a common tangent line; C1 is the circle that touches C, D, and T; C2 is the circle that touches C, D, and C1; C3 is the...

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

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

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

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

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Q: What is wrong with the following calculation? /

What is wrong with the following calculation?

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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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