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Wednesday, January 13 Announcements WeBWorK #1 is now open Due today at 9pm Covers material from “Week 1”—see syllabus on course web page Together with the suggested problems (which are now posted), these are your best way to practice for the in-class quizzes Quiz #1 will take place here on Friday, January 15 (second half of class time) Covers material from “Week 1”, just like WeBWorK #1 You must bring your student ID to class on every quiz day You must take the quiz in the section you’re registered in Wednesday, January 13 Clicker Questions Clicker Question 1 Recalling properties of derivatives Suppose that f (x) and g(x) are differentiable functions, and f 0 (x) = g0 (x) for all x. What is the relationship between f and g? A. f (x) is g(x) times a constant B. f (x) is g(x) plus a constant C. f (x) and g(x) add to 0 D. f (x) and g(x) are the same function E. no relationship, totally random Clicker Question 2 An indefinite integral Z If a > 0 is a constant, what is A. ax dx? ax+1 +C x+1 B. ax + C ax+1 +C a+1 1 x d 1 x 1 d(ax ) (log a)ax D. a + C, as a +C = = log a dx log a log a dx log a C. E. (log a)ax + C Clicker Question 3 What’s the right question? √ Which of the following indefinite integrals equals x 2x + 3 + C ? Z A. Z B. Z √ 2x + 3 dx √ 3 x + 3 dx √ x dx 2x + 3 Z 3x + 3 √ D. dx 2x + 3 E. none of the above C. √ Indefinite integrals: sometimes easier to check than find! d √ x 2x + 3 + C dx √ 1 2 = 1 · 2x + 3 + x · √ +0 2 2x + 3 1 2 2x + 3 +x· √ =√ 2 2x + 3 2x + 3 3x + 3 =√ 2x + 3