i have two questions about calculus. I hope you can help me to solve it. Thanks
A container formed by a cylinder at the bottom surrounded by a heisphere. The radius decreases at the rate of 3 cm/sec and trhe height increases at the rate of 2 cm/sec. Find the rate at which the volume of the contaner changes when the radius is 5 and the height is 10 cm.
I try to solve by using : 2r+ h= 8?
Let U(x,y) be a differentiable and let (r,θ) be the polar coordinates ( that is, x=rcos θ, y=rsinθ)
Compute Ur and Uθ and show that lldedivative of Ull^2= (Ur)^2 + (Uθ)^2 1/r^2