2x - y- x* lim (x.y)→(0,0) x² +y´ Find the limit, or show that the limit DNE. a) b), lim (x.y)>(0,0) x² + 2y² 2.

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A: Topic:- function and application of derivatives

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A: (a) The given series is: ∑k=1∞19k+1 Let, ak=19k+1, k≥1  

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A: critical numbers are those such that value of the derivative of the function is zero.

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A: Since this is a multiple question, according to the Bartleby answering rule, only first question is ...

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A: We can find the minimum value as below

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A: given f(x) =3x3-6x210x4+5at x = -6f(-6) = 3×-63-6×-6210×-64+5f(-6) = -0.067at x = -12f(-12) = 3×-123...

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A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

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A: Given:       ∑k=1∞1kk+2  The series converges. Rewrite the term:       ∑k=1∞1kk+2=∑k=1∞-12k+2+12k

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A: I =∫ sin 2t cost dtI =∫ 2 sint cos t cost dtI= ∫ 2 sint cos2t dtu = cos t du = -sin t dt

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A: Identity the u=2y2 +3

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