27. f(x) = 1 x² + 1 2 on [-1, 1)

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A: To find a vector-valued function whose graph is the indicated surface. The ellipsoid

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A: given vectors

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A: ∫01x2−91+x2dx=∫01((x2+1)−101+x2)dx

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A: I have appended the formula used in the solution procedure

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A: Integration helps to find the value of k.

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A: f(x)=−cos⁡x−(21−x)A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

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A: Question No. 1(b);To calculate .

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