161E3-S2004

161E3-S2004 - MA 161 EXAM III Spring 2004 Name nine—digit...

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Unformatted text preview: MA 161 EXAM III Spring 2004 Name nine—digit Student ID number Division and Section Numbers Recitation Instructor Instructions: 1. Fill in all the information requested above and on the scantron sheet. 2. This booklet contains 12 problems, each worth 8 points. You get 4 points for your TA’s name. 3. For each problem mark your answer on the scantron sheet and also circle it in this booklet. 4. Work only on the pages of this booklet. 5. Books, notes, calculators are not to be used on this test. 6. At the end turn in your exam and scantron sheet to your recitation instructor. JL' 4 + 2 for x in the interval [1, 8]. Then f (:1!) attains its absolute maximum :1: 1. Let f(:c) = at :1: equal a.1 b.2 c.4 d.8 e. none of these. 2. The function f = x3 + 65132 + 9x is decreasing a. just on the interval (1,3). b. just on the interval (-3,-1). c. just on the intervals (—oo,-3) and (—1,oo). (1. just on the intervals (~oo,1) and (3,00). e. nowhere. 3. If f has its derivative satisfying 1" = (a: — 1)(:r — 2)2($ — 3) then f has a. a local minimum just at 1 and a local maximum just at 3. b. local minimums just at 1 and 2, and a local maximum just at 3. c. local minimums just at 1 and local maximums just at 2 and 3. d. a local minimum just at 3, and a local maximum just at 1. e. local minimums just at 1 and 3, and a local maximum just at 2. 4. The function f = e"”'2 is concave down a. on (—45, b. on (—%,% . c. on (-1,1). (:1. on (—00,—1) and (1,00). e. nowhere. 5. The function f = 8x2 — 3:4 has inflection point(s) for the a: just in the set a. {—2, 2}. 6. If f is differentiable with f’(a:) > 0 on (~00, ——1) and (0,2), and f’($) < 0 on (-l,0) and (2,00) then the graph for f looks most like 7. The linear approximation of f = {171/2 at a = 16 is used to find the approximate value for 171/2 — 4. The approximate value found is 1 8. .U‘ 9’ uMn-A e. none of these. :62 8 lim — equals w—mo e‘” a. 00. b. 0. c. 1. d. 2. e. none of these. a: -Z __ 2 9. (6—:62_._) m—rO (I; a. 00. b. 0. c. 1. d. 2. e. none of these. equals 10. lim (1 + 2x)% equals x—+0+ a. 62. b. 2. c. 1n2. d. 0. e. none of these. 11. Two sides, of the right triangle pictured, change with time. Find 1L" (t) when h’ (t) = 8 in/min and :I:(t) = 4 in. a. 2 in/min. b. 5 in/min. c. 10 in/min. d. 20 in/min. e. 40 in/ min. 12. A girl walks east on a beach and is observed from a boat 100 ft from shore. Determine x’ (t) when :c(t) = 100 ft and 0' (t) : “All radians/min. a. 200 ft/min. b. 400 ft/min. c. 800 ft/min. d. 1200 ft/min. e. 1600 ft/min. w+E S 0 e (-6) bOat )(C-t) ...
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161E3-S2004 - MA 161 EXAM III Spring 2004 Name nine—digit...

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