SOLUTION: Please help me solve this equation: Let R be the region enclosed by {{{ y=-(x-1)^2+1 }}} and the x-axis. a. Find the area of the region R. b. Find the volume of the solid gene

Algebra ->  Test  -> Lessons -> SOLUTION: Please help me solve this equation: Let R be the region enclosed by {{{ y=-(x-1)^2+1 }}} and the x-axis. a. Find the area of the region R. b. Find the volume of the solid gene      Log On


   



Question 350700: Please help me solve this equation:
Let R be the region enclosed by +y=-%28x-1%29%5E2%2B1+ and the x-axis.
a. Find the area of the region R.
b. Find the volume of the solid generated by rotating R about the y-axis.
c. Find the volume of the solid generated by rotating R about the x-axis.
d. Set up, but DO NOT EVALUATE, a definite integral representing the volume
of the solid generated by rotating R about x = 2.
e. Set up, but DO NOT EVALUATE, a definite integral representing the volume
of the solid generated by rotating R about y = 2.

Answer by solver91311(24713) About Me  (Show Source):
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