MATH 1100Y Quiz: MATH1101Y-Quizzes (2)
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Mathematics 1101y calculus i: functions and calculus of one variable. [10 minutes: find the intercepts of the parabola y = x2 2x 3, and sketch its graph. [10 minutes: let f (x) = 2 tan(x) 2, where . Find a formula for f 1(x) and graph both f (x) and f 1(x). Hint: x2 x 2 = (x 2)(x + 1). X sin(x) x: explain why f (x) = is not continuous at x = 0 and determine what kind of discontinuity it has there (removable, jump, or vertical asymptote). [10 minutes: compute dy dx if y = x 1 + x ex. [10 minutes: compute if x = sin(x + y). [12 minutes: puppies s and e are sni ng a re hydrant when they are startled by a loud noise, and immediately run o in perpendicular directions. S runs south at 9 m/s and e runs east at 12 m/s.
