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A: This question can be solved using the concept of double integration.

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A: This question can be solved using the concept of power representation of given function.

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A: We have to calculate  value of y

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A: We have to find sum

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Q: 1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find…

A: To differentiate and integrate the given power series.

Q: e*(1-e*) (1+ x)[ In(1–x)] 12. lim, 0 'x0

A: Recall: If we have 00 form then we apply L'Hospital Rule.i.e, limx→a f(x)g(x)  = limx→a f'(x)g'(x)

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A: answer is in next step . please give a like.

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A: Given;  Limx-pi/2  3 csc6x/(csc2x)

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A: On solving this we will get

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A: On solving this we will get

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A: Use equation of normal line

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A: Thr solution is given in the next step.

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Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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