MAT133Y1 Final: MAT133Y1 Final Exam 2011 Winter Spring
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6 8 (cid:18) 1 2 (cid:19) (cid:18) 1 1 (cid:19) (cid:18) 2 3 (cid:18) 1 (cid:18) 2 (cid:18) 1 0 (cid:18) 1. 3, 2] has its maximum value: nowhere; there is no maximum, at x = 1, at x = 2, at x = 1. [3 marks: = e, = 0, = 1, = 1, does not exist. 2(e2 e) ln x x on the interval [e, e2] is. B. for no values of p1 and p2: p1 < 3, any p2, p2 < 2, any p1, p1 > 3, any p2. If 3x2yz + 1 = 2x2 + y2 + z2 de nes y implicitly as a function of x and z, then when. X (x, y, z) = (1, 1, 2): 1, 2, 0, 1, 2. If interest is 8% per year compounded semiannually nd (to within sh. 01) the amount of each payment. (b) [6 marks]