Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x)

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A: Given that the the sum of one number and three times the second numberis 48.Our Aim is to find the m...

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A: find limit

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A: We have to sketch the region and find the area by using double integral.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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A: Topic:- integration and trigonometry

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A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

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A: Given ∑n=119n2-18n+8Now lets substiute n=1 and solve

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A: To find out the vertical and horizontal asymptote. 

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A: P>1 then given series convergent using integral test

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A: Solution is written in below steps.

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A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

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A: We need to find volume.

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A: Given query is to find the derivative of the expression.

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A: Solution is written in below steps.

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A: 5/6 centroid

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A: To compute: ∫(sin x+10(csc x)2)dx

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A: The given series,        ∑n=2+∞-1nln nn2