Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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A: Substitute u=ln(t) ⟶ du/dt=1/t dt = tdu t = eu ∫ eusinudu we use integration by parts ∫fg′=fg−∫f′g f…

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A: This question can be solved using integration by substitution.

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A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

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A: I am attaching image so that you understand each and every step.

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A: Topic = Functions

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A: We have1) The sequence (xn)=(-n) is . . . . . . . . .Now we have take n=1 x1=-1put n=2x2=(-2) So, we…

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A: As we know that; The Power rule; ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C…

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A: I am attaching image so that you understand each and every step.

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A: Solution is given below:

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A: ∫ xdx/(1-x2)3/2 here assume that  1-x2 = u -2x = du/dx xdx = -du/2 ∫ -du/2u3/2 ∫ -u-3/2du/2 2u-1/2/2…

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Q: Find the limiting values of 3x2 + 5x - 4 (i) as x → 00 5x? - x + 7

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…