MATH 2210 Final: Math2210FinalSp10Nguyen
Document Summary
Final exam for calculus 3 (math-2210-03), spring 2010. One is for a function f whose graph is a cone. The other is for a function g whose graph is a paraboloid. Which is which, and why: (4 points) use polar coordinates to nd the limit: lim (x,y) (0,0) x4 + y4 x2 + y2, (4 points) use implicit di erentiation to nd z. X when yz = ln(x + z): (4 points) car a is traveling north on highway 16 and car b is traveling west on. Each car is approaching the intersection of these highways. At a certain moment, car a is 80 km from the intersection and traveling at 44 km/h while car b is 84 km from the intersection and traveling at 81 km/h. Hint: the limit de nition of the directional derivative of f at (x0, y0) in the direction of a unit vector u =< a, b > is.
