The plane y = 1 intersects the surface z = x° + 5xy – y* in a certain curve. Find the slope of the tangent line of this curve at the point P = (1, 1, 5). m =

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A: For ∫cos 2x-sin 2x cos 2xcos x-sin x dx=13Fx+C, to determine Fx.

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A: Here we have to integrate the given function.

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A: Topic:- integration

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Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

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A: let  bn=1n3∑n=1∞1n3    is convergent   by p series  Recall ∑n=1∞1nP    is convergent  iff p>1

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A: answer is in next step

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A: Topic = Integration

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A: To solve the following problem

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A: Follow the procedure given below.

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A: Here is the solution:

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A: Use simple differentiation formula.

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