Questions from General Calculus


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: Test the series for convergence or divergence. /

Test the series for convergence or divergence.

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Q: (a) Find the highest and lowest points on the curve

(a) Find the highest and lowest points on the curve x4 + y4 = x2 + y2. (b) Sketch the curve. (Notice that it is symmetric with respect to both axes and both of the lines y = ±x, so it suffices to cons...

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Q: Find at least 10 partial sums of the series. Graph both

Find at least 10 partial sums of the series. Graph both the sequence of terms and the sequence of partial sums on the same screen. Does it appear that the series is convergent or divergent? If it is...

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Q: Find at least 10 partial sums of the series. Graph both

Find at least 10 partial sums of the series. Graph both the sequence of terms and the sequence of partial sums on the same screen. Does it appear that the series is convergent or divergent? If it is...

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Q: Find at least 10 partial sums of the series. Graph both

Find at least 10 partial sums of the series. Graph both the sequence of terms and the sequence of partial sums on the same screen. Does it appear that the series is convergent or divergent? If it is...

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Q: (a) Explain the difference between / (b

(a) Explain the difference between (b) Explain the difference between

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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 sum.

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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 sequence converges or diverges. If it converges,

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

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