I need help with following maple problem. All I need help with right now is finding the a and b in part a. If I have any problems later, I may be back for more help, but right now I just need help finding a and b. Anyway here is the problem:

Let S be the solid obtained by revolving the region bounded between

1

u(x) = - x + 2

2

and

1 2

v(x) = 7 - - x + sin(x)

5

; around the horizontal line

y = -2

.

a. (4 points) Define functions u and v of x using the arrow notation. Find the x-values of the two points of intersection and give them the names a and b. Hint: a will be negative and b will be positive.

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b. (3 points) Plot your functions u and v together with a representative vertical rectangle. Include the axis of rotation (the line

y = -2

) in your plot.

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c. (2 points) Use animatesor (using the option

method = washers

) and plotsor to plot the solid of revolution. Use the option

scaling = constrained

in both commands.

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d. (3 points) Use integration to find the volume of the solid S correct to ten significant digits. (Your answer should be between 1000 and 1500 cubic units.)

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I am not sure how to get a and b in part a of the above problem. Do I plug in -2 into the equations and that will give me my a and b? Or do I need to solve something in maple to figure out what they are? Anyone know what I am supposed to do? I'm kind of lost. Thanks in advance to anyone who can help.