Recent content by TheTaoOfBill

Homework Statement A person standing on top of a hemispherical rock (a dome rock) of Radius R kicks a ball (initially at rest on top of the rock) to give it horizontal velocity Vx A. What must be it's minimum initial speed if the ball is never to hit the rock after it's been kicked? B...

sorry... Over the Y axis.

Homework Statement Find the volume of the solid generated by revolving the shaded region about the given axis. Homework Equations I used the disk method to solve this V = int from a to b(pi * R(x)^2) The Attempt at a Solution V = int from 0 to 2( pi * (3Y/2)^2 dy) = 6pi

Ah.. right... So.. V = int from -1 to 1(1/2(2(sqrt(1-x^2))^2) = 8/3

ok so dV = 1/2(2(sqrt(1-x^2)) so V = int from -1 to 1(1/2(2(sqrt(1-x^2))) = pi/2 ?

Homework Statement I'm having issues with this section in calc. I'm not at all sure what I'm doing! Here is the problem I'm having trouble with: Directions: Find the volume of the solids. Problem: The base of the solid is the disk X^2 + Y^2 <= 1. The cross-sections by planes...