Homework Statement
State whether the problem is convergent or divergent and if its convergent solve the integral. Integral from 0 to inf of (sinx)/(1+cos^2(x))dx
Homework Equations
there isn't really an equation for this, I don't think.
The Attempt at a Solution
Im not really...
Homework Statement
Prove that the following sums only converge at 0.
sum of: e^(n^2)*x^n , and
sum of: e*n^(n)*x^(n)
Homework Equations
well i know series converge if the lim as n approaches inf of the abs(x-c) is less than (An/An+1) but I have no idea how to prove it, I saw these for...
Homework Statement
Find the volume of the solid found by rotating the area bound between
the curves x = 1, y = x^2, y = 0, around x-axis.
Homework Equations
I know you have to solve this using the shell method, but I just get extremely confused while trying to do it. Maybe someone...
I came up wth 22.1 m/s for his velocity he left the ramp at, and 11.54 m/s for his velocity before he left..which doesn't make sense.
Are either of those numbers similar to what you got?
Homework Statement
An attraction at a waterpark includes a straight waterslide 20m long at an angle of 34 degrees above the horizontal. The waterslide ends in a ramp 5 m long at an angle of 45 degrees above the horizontal. People sliding down the slide land in a small pool just past the end...