Math210 Precalculus. hepl

5. A cylinder begins with a radius of 50m and a height of 100m. The radius then steadily decreases at the rate of 2m each hour while the height increases at the rate of 8m per hour. The area of a cylinder is given by: A = 2mrh + 2nr2. Find how fast the area of the cylinder is changing after 5 hours (when the radius is 40m and the height is 140m). 6. Without using technology, find the derivative of y = Remember to simplify your answer by combining like things together 7. Find the following limit. Use I'Hospital's rule if appropriate. If there is a more elementary method consider using it but do not solve this problem relying on a table or graph. lim sin(2x)+8x2-2x x- 0 x3-x2 8. (a) Find the linearization L(x) of the function f (x) = VX near x = 64. (b) Use a linearization or a differential to estimate the value of V66