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
u(x) = - x + 2
v(x) = 7 - - x + sin(x)
; 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.
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.
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.
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.)
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.