quiz4sols - R McDougal Name Math 151N 2 August 2005 Quiz IV...

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Unformatted text preview: R McDougal Name: Math 151N 2 August 2005 Quiz IV Answer each question as completely as you can; remember you must Show all work for full credit. You may not consult books, notes, or each other for this quiz. Good luck! 1. Suppose f’(a:) = (x—1)2(m—2)(93+2) and f”(:c )2 2:B(— 1)(2 3:2 —a:— 41). (By the 1+~/_ —x/fi quadratic formula, the roots of 23:2 — :c — 4 are 4 ~ 1. 68614 and1 4 % —1.18614.) Find where f is increasing, decreasing, concave up, concave down, has inflection points, local maxes and local mins. (7 points) air , - +- CQI’YQUP q (—0333 [refsg a \l ’9 ( L1 / i )J‘ -’ l “~17 / QV/ Gloom 1‘ 33 \ , . l _' Q0 / “l 4/ (U ”gal l/Pflecflcm 9+5: X1 H133 “LL/353 Lf / l/ y 2. Let g(:r) = 2$3 *— 21352 + 60x — 17. Find the absolute max and min values of g on [— 3 3]. (3 points). 7 I‘m ‘ “12“” 2 Wxtfi ~01) max \N :g (X 2)(>< g) fl(‘311'LlLlO 3(3) 112% 3(2) 2.3; ...
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