Math 1A - Fall 2001 - Vojta - Midterm 2

Math 1A - Fall 2001 - Vojta - Midterm 2 - 1

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Unformatted text preview: 04/24/2002 WED 15:38 FAX 6434330 MOFFITT LIBRARY .001 P- VOW Math 1A Second Midterm 50 minutes Fall 2001 1. (14 points) (a). Find lim (sincc)”. m—>0+ . . 7T :1: (b). Find $1Lngo(§ — arctan :5) . _1 (c). Find lirn COSh—m. m—mc Inst; 2. (20 points) sin(sin:c) (a). Without using l’I—Iospital’s rule, find lim , m—m 8111 an: d (b). Flnd am arcsmm. (c). Find i(cos(em2)). . . d w 3. (9 pomts) Fmd fificw )). 4. (12 points) Let f (an) be a function such that: (1) its domain is (700, 0) U (0,1) U (2, oo); (2) f’(m) .—_ 0 everywhere on the domain of f; and (3) f(.5) = 3 and f(3) = 7. Say as much as you can about lim flat) and lim f (as). m—}—oo {Ii—’00 5. (20 points) A rectangular playground is to be fenced off and divided in half by another fence parallel to one side of the playground. The total area of both halves is to be 600 square feet. Find the dimensions of the playground that will use the minimal amount of fencing. 6. (25 points) Graph the function its) = e1” - List all features of the graph. You may use the next page for additional space. [Axes for graphing were provided on the next page] ...
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