need help understanding

4. The 8-foot diameter of a spherical gas bubble is increasing at 2 feet per hour, and the lZ-foot-long edges of a cube containing the bubble are increasing at 3 feet per hour. Is the volume contained between the spherical bubble and the cube increasing or decreasing? At what rate? 5. Find a point P on the graph of f(x) = lu(x) so the tangent line to f at P goes through the origin. 6. x(t) = git sin(t) ), y(t) = R-(l cos(t) ) . (a) Find dxfdt, difdt, the tangent slope gxfdx, and speed when t = m'2 and it