MATH 1100Y Quiz: MATH1101Y-Quizzes
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Mathematics 1101y calculus i: functions and calculus of one variable. 2 and the one that you obtained in. Do one (1) of questions 1 or 2: find the x- and y-intercepts, and the coordinates of the vertex, of the parabola y = [5: verify that sec(x) tan(x) = 1: let f (x) = tan(cid:0)x2(cid:1), where 0 x p /4. [10 minutes: compute lim x 0 (x + 1) sin(x) [10 minutes: use the limit de nition of the derivative to compute f (x) if f (x) = 2x2 7x. [4: compute f (x) in a more sensible way. [10 minutes: compute f (x) if f (x) = (cid:0)1 + x2(cid:1) arctan(x). [2: compute g (x) if g(x) = cos(cid:0) 1 + ex(cid:1). The interior of a trash compactor has the shape of a rectangular box 3 m high, 1 m long, and w m wide. The width w diminishes at a rate of 1 m/min when the trash is compacted.
