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242sugprob13

# 242sugprob13 - ≤ t ≤ π Find an expression for dy/dx...

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Math 242 Suggested lab/discussion problems, Nov 29 and Dec 1 D1. Does the series X n =1 ( - 1) n sin π n converge or diverge? If it converges, does it converge absolutely or conditionally? D2. Does the series X n =1 n 2 3 n converge or diverge? 1

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D3. Does the series X n =1 ( - 1) n n + 5 5 n converge absolutely, converge condition- ally, or diverge? D4. Find the interval of convergence of the power series X n =1 ( - 1) n n 2 x n 2 n . 2
D5. Write the indefinite integral Z x 1 - x 8 dx as a power series. Write your final answer in sigma form. D6. Consider the parametric curve defined by x = cos 2 t , y = cos t

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Unformatted text preview: ≤ t ≤ π . Find an expression for dy/dx , and draw a reasonable graph of the curve. 3 L1. Does the series ∞ X n =1 (-1) n 3 1 /n n 2 converge absolutely, converge condition-ally, or diverge? L2. Find the interval of convergence of the power series ∞ X n =2 ( x-1) n 4 n ln n . 4 L3. Write the indeﬁnite integral Z ln(1 + x ) x dx as a power series. Write your ﬁnal answer in sigma form. L4. Draw a reasonable graph of the polar equation r = 1 + sin θ . 5...
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242sugprob13 - ≤ t ≤ π Find an expression for dy/dx...

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