Quiz52008 - Math 16A(Summer 2008 Kauba Quiz 53 PRINT Name_W...

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Unformatted text preview: Math 16A (Summer 2008) Kauba Quiz 53 PRINT Name : _W-_---,-_-_..-.. ........... , .................................. Exam ID # : _ ........... 1.) (20 pts.) For the following function f determine all absolute and relative maximum and minimum values, inflection points, and x— and y-intercopts. State clearly the open intervals for which f is increasing (T), decreasing (i), concave up (U), and concave down ((1). Neatly sketch the graph of f ! f(:c) == 9:3 -— 3332 on the interval [—1,4] 2.) (10 pts.) If f”(x) = m2($~2)3(m~4)2, then determine all of the as-values corresponding to inflection points for the graph of f. 3.) (10 pts.) Let f(;v) = x2 + 4sin m. Solve f”(x) = 0 for 31,0 5 a: g 271'. 2 4.) (10 pts.) Let f(;1c) 2 mm 9' Set up a Sign chart for the first derivative, f’. U ...
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