What are the relative extrema of the function f(x)=x^3+3x^2-24x+7 a. relative minimum of -4, relative maximum of 87

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A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2   As we know that; The Power law; ddxxn=nxn-1

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A: Explanation of the answer is as follows

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

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

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A: Solution ) slope  m = (y2 - y1)/( x2 - x1) 1) point ( -1 , 3 ) , ( -8 , 3 ) slope m = ( 3 - 3 )/( -…

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A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

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