5

Given the equation x =y+v8y- on the interval 2 <y<5 Set up integral for the area of the surfaces generated by revolving the curve about the y-axis. (5 points)...

Question

Given the equation x =y+v8y- on the interval 2 <y<5 Set up integral for the area of the surfaces generated by revolving the curve about the y-axis. (5 points)

Given the equation x =y+v8y- on the interval 2 <y<5 Set up integral for the area of the surfaces generated by revolving the curve about the y-axis. (5 points)



Answers

Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the $x$-axis.
$y=2 \sqrt{x}$

101 Today we're going to solve problems over 43. Hear why? Equal toe extra support one by three plus two Bye Nice equal toe one by three x to the power minus two by three So from laughs off a series by integral 1 to 8 eggs into root off one plus one by three extra Part two by three The holes Choir RDX so we will get like toe by integral 1 to 8 x root off one plus one by nine Extra power for by three D x toe fight Integral one 28 We can write like eggs in do root off. Nine X rays Took four by three plus one developed by root off nine. Access to four by three plus one DX you will get like to buy by three in the grill 1 to 8. Express to one by three Indu Lyon Express to fall by three less Lerner. There's two half the X like you equal tau nine X rays to for by three plus one do you equal toe 12 Express toe one by three So one less than or equal to X less than a record to it. 10 less than or equal to you less than a recall toe. 1 45. So what will be getting? It's like Bye bye. Three integral 10 to 1. 45 one by 12 us to have do you So it is like by by 18 integral 10 to 1 45 us to have do you which is equal toe by by 18 into two by three Into your esto three by two with physical too Bye bye 27 u to the power three by to thank you.

Honey. Today we're going to solve a problem. Number 46 here. It's like integral one, 24 It's from to buy eggs into root off one plus to square debate. So it is like toe bite in the little 1 to 4 eggs into root fighting. So we got like to fight by Hindu Act square by two from 1 to 4. Be good to root fi by Hindu 16 by two, minus one by book. Thank you.

Hello, everyone. Today you're going to solve problems of 45 here in the scale. Distance between the graph for fifth and in my X is X so f dissects is given by minus X by two so we can write like a sequel to toe by integral 0 to 2 pigs group off one plus minus x by to the whole square the X but difficult to book plate integral 0 to 2 x in the root off one plus x square by for the X substitute one plus x squared by four equal to you and x by toe The X equal to do you so we get X d X equal toe Do you so limits changes from zero 21 and two to itself. So integral toe by integral one toe group do toe the you s s equal toe for by to buy three you raise to three by two from 1 to 2 big like eight by two to minus one divided by three. Thank you

Everyone today we're going to solve problem number 40. Here s ethical toe toe by in double 0 to 3 heads into root off one plus minus two weeks Whole square dx So which is equal to to fight interval 0 to 3 eggs in the root off one plus four square DX surface off. Revolution formed. Very value. Revolving The graph off about the horizontal or vertical axis s chip are off X equal toe X equal to zero Be equal toe three ffx equal toe man minus X squared. Then they can. Great lake. Yes, we could do. Bye from one to 37 eggs into one plus for X square half the x which is equal to toe by in the girl one toe, 37 eggs You put up our half Do you buy a text which is a record toe integral 12 37 you raised to have do you by eight which is equal to by eight by and the other 1 to 37 us to half Do you which is equal to by eight Bye to buy three you rest 23 by two which will be called to 117.31 Thank you


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