MAC 2313 Midterm: MAC2313 F96 Test 2
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The position function is r(t) = ht3, 2 ln ti for 0 < t e. (a) find r (t). (b) find t(t). (c) find t(1). (d) find n(1): (10 pts. ) For each quadratic function, describe the behavior of the graph at the origin: (a) f (x, y) = 2x2 + 3xy + 4y2 (b) f (x, y) = 3x2 + 3xy + 4y2: (45 pts. ) For the function f (x, y) = 3x2y3 2xy2 + x2y 2x + 3y 2, an- swer the following.