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211-rossmanith-07faex03

# 211-rossmanith-07faex03 - Date Nov 30 2007 Page 1/6 MATH...

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Unformatted text preview: Date: Nov. 30, 2007 Page 1/6 MATH 211—1 EXAM #3 NAME: ' ' CIRCLE YOUR DISCUSSION SECTION: 301 302 ' 303 304 305 306 Gupta ‘ Gupta Meyer Virk Mueller Virk 7:45am 8:50am 8:50am 9:55am 12:05pm 2:25pm 307 ' 308 309 310 311 Mueller Rui Meyer Rui Konate 1:20pm 2:25pm 2:25pm 3:30pm 3:30pm I Points Possible .Points Earned Date: Nov.,30, 2007. . I l . Page 2/6 ‘ 1. (20 points) A 6 x 12>rectangle will be turned into a three—dimensional bOX by ~~H~~~"Ww—mwM—WWeutting-outfour equally sized squares fromtherfouri-eorinersofthehrectangle (see ﬁgure below), and then folding up the ﬂaps on each side. How large should the cut-out squares be so that the volume of the resulting cube is maximized? NOTE: You must completely justify your answer. §_.____5____——' Date: Nov. 30, 2007 Page 3/6- 2. (20‘ points) Produce a sketch of the function: f(a:) = a: e‘m2/6. NOTE: You must go through all the steps dismissed in class in order to receive full'credit for this problem. HINT: = < — é) 6'732/6 and f”(x) = —-_x)'e’””2/6. 3 Date: Nov. 30, 2007 Page 4/6 3. (20 points) Compute the following integrals. V . (1110-2 I, ’5 / (a) (10 pomts) / t dt. (b)'(10 p01§ts 22+ 2 _ 6 dz. Date: Nov. 30, 2007 o - Page 5/6 4. (20 points) Compute the following integrals. "(Q'j‘ii’io points) / 23” e dac. (b) points) dsc. e¢+1 Date: Novi 30, 2007 t > Page-6/6 5. (20 points) Consider the function, f (as), given by the following plot: ._._h.._m..-m_~..»w~lm “A-” ~ , 4 Compute the following: (a) (5'points) f0“ f(a:)dm. (b) (5 points) fso f (2:) dx. (0) (5 points) [02 m3) d2: + f; f(:v) dx.‘ (d) (5 points) f: 10 f dasv. . ’ ‘ ...
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211-rossmanith-07faex03 - Date Nov 30 2007 Page 1/6 MATH...

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