4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D point of intersection

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A: LetI=∫cosx+sinx2dxI=∫cosx+2sinxcosx+sin2xdxApply the Sum RuleI=∫cosxdx+∫…

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A: Let's find.

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A: Given query is to find the Indicated derivative.

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A: The given function,   f(x)=x-3x2-9

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A: 2+52+3+72+......9

Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)]° and solve f '(2). Solution: Reason:

A: Solve the following

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A: To solve the following problem

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A: see below the answer and calculation

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A: I have stated the used formula in the solution.

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A: We have to find the function

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A: Topic:- derivatives

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A: ∫-4π6πcos2xdx=∫-4π6π1+cos2x2dx=∫-4π6π12+cos2x2dx

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A: We will find the type of pairs of lines.

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A: Solving

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A: We can find the curve length as below.

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A: Solve the following

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