Scribe for Monday
And g(x) = 2 + rt 4+4x-x^2
S is the region between f and g, write the interval that gives:
a) The volume generated by rotating s around the line y=5.
b) The Volume generated by rotating s around the line y=1.
c) The volume generated by rotating s around the y-axis.
Rotating two lines, It surface will be looks like a washer.
And the Volume of a cylinder V = pai (R^2-r^2)
a)---> pai S(rt (4+4x-X^2) +2 -5) ^2 - (0.5X^2-2x+4-5)^2 dx
b)---> pai S(rt (4+4x-x^2)+3)^2-(0.5x^2-2x+5)^2 dx
c)---> PaiS(3^2-y^(1/2)) dy
A roll of paper towels has dimesions
Find the volume of the papper
Volume of Pai r^2 h a cylinder
V = Pai h (R^2-r^2)
= pai h (R+h) (R-h)
S (2pai x) f(x) dx
(circle) (height) (width)
Nest scribe: steven :P