OLD_SCHOOL_PLAYER
New Member
I just need help with two more AP Calculus problems, and then I'll be done for the year.
Find volume of region generated by rotating shaded area about the x-axis:
y = 3 - (6/x)
x = 5
Window:
x min: 0
x max: 6
y min: 0
y max: 2
This is what I did for this problem, not completely sure if I did this correctly:
y = 3 - (6/x), x = 5
nr^2
pi INTEGRAL(from 2 to 5) [ (3-(6/x))^2 ]
=15.122
The second problem:
The base of a solid is the region between the line y = 4 and parabola y = x^2. The cross sections perpendicular to x-axis are semicircles, find volume of solid.
Thank you for taking the time to read this,
OSP
Find volume of region generated by rotating shaded area about the x-axis:
y = 3 - (6/x)
x = 5
Window:
x min: 0
x max: 6
y min: 0
y max: 2
This is what I did for this problem, not completely sure if I did this correctly:
y = 3 - (6/x), x = 5
nr^2
pi INTEGRAL(from 2 to 5) [ (3-(6/x))^2 ]
=15.122
The second problem:
The base of a solid is the region between the line y = 4 and parabola y = x^2. The cross sections perpendicular to x-axis are semicircles, find volume of solid.
Thank you for taking the time to read this,
OSP