MAD 4301 Midterm: Test 3 Fall 1990
Document Summary
November 14, 1990. (a) (5 pts. ) lim x (b) (5 pts. ) lim x 1. 9x2 + 1 x 3 (x 1)2 = (2) (20 pts. ) As a right circular cylinder is being heated, its radius is increasing at a rate of 0. 06m/s and its height is increasing at a rate of 0. 20m/s. Find the rate of change of the volume of the cylinder when the radius is 0. 5m and the height is 0. 3m. (3) (20 pts. ) Find all local extrema and in ection points and sketch the graph of the function f (x) = x5. Find the maximum volume of a right circular cone with height h and radius of base r, if the distance from the vertex to the edge of the base is 24. (5) (20 pts. )
