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need help with question 4 and 5. please follow the directions from points (i)- (v) a most show the Tonowing cicarry (i) sketch, (ii) find

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need help with question 4 and 5. please follow the directions from points (i)- (v)

image text in transcribed
a most show the Tonowing cicarry (i) sketch, (ii) find the intersection(s) of graphs algebraically, (iii) if you use disk method, you must state thickness & radius clearly, (iv) if you use washer method, you must state thickness & outer radius & inner radius clearly, (v) if you use cylindrical shell method, you must state thickness & radius & height clearly. 1. (6 pts) Consider the region(s) enclosed by the curves: f(x) = 3+2x-x , x-axis, and find its area. 2. (6 pts) Consider the region(s) enclosed by the curves: g(y) = 3-y, x=-1, and find its area. 3. (10 pts) Consider the region(s) enclosed by the curves: y = 4x+3, y=6-x-2x', x=2, and find its area. 4. (6 pts) Find the volume of the solid obtained by rotating the region bounded by the curves: y = Vx , y= 3, and x = 0 about the y-axis. Use disk or washer method. 5. (10 pts) Find the volume of the solid obtained by rotating the region bounded by the curves: y = 2x+ 1, y =3, and x =4 about the x-axis. Use disk or washer method

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