Question

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Please solve all of them with all steps. Definitely will Like.

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Question 1 Let 0 <a<b. Which of the following integrals gives the area of the surface made by rotating the graph of over the interval [a,b] about the x-axis? 77 [ V4z® +9.2" dx 27 12 1+ 9 4. -22 dc Los + 9 4 ex dx None of the options are correct. 9 7T 23+ da

Answer 1

Ques1:

If the curve y=f(x), a<x<b rotated about x-axis then the surface area is given by

A= 2π × integration (a to b) of [f(x)√(1+f'(x)²) ]dx

A=2π ×Integration (from a to b) of [ x^(3/2) √(1+ ((3/2)x^(1/2))²)]dx

A= 2π × integration (from a to b) of [ x^(3/2) √(1+(9/4)x^(1))]dx

So, option d) is correct i.e. none of the options are correct.

Ques2:

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y-y = mcx-ra) y-o $(2-1) y 136-1) 3 it the equation targent line. cs Scanned with CamScanner