151 Exam III A Fall 07

151 Exam III A Fall 07 - rrJFL MArHlsl EXAM IIIA Part L...

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rrJFL MArH lsl EXAM IIIA Part L Name Mrs. Bonny Tighe 2.9 -3.7 60 points Section Fnru30/07 1. State and use The Mean Value Theorem and find all numbers c that satisfu the conclusion. .f(x) = x + sin2x on the inlervdl 10,2ft1 ,' ur, r fq#*; ;'''il:* #j;;:.x'r'!"ft ' tr r\&- 9,." u "d ''\ - I -- I - t u:s'>-w ,-+ I tr") : o+o 'o -l)t-vl= ' 'J"r+< -- o +t lror -o \r so 1g ,34. ,q! ,11, ru '' , 4r 2 t-& t-t V+,+ g u 4tn,ttt 2. Determine whether each of the following functions is always increasing, always decreasing or some of each. EXPLAIN YOUR ANSWERS lDo"\r'a.ri- k> 4'tx) - U qg *\\ r -{ | a) f(x)=v7 +3xn +2x'-3 ? xv e t+36Y' \K€>c^r-!ti- h'(*) -- X-r d) k(x) e-" -4 an'r)") -' > ux- \K'r>.M? J \- - -+-cl<a-a.p, oW Ao uqiA ^b*f ^ibtu Y-'U\
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*o W"t /1^^)'t br.- s,o&Jr.n- O"-'1- C,,r1 lb t v A '- )x3lY L ,Y;:ffi Y:ilJ.,ffi #;:':T#:T:ff f :1#1,:?","2,^.,**wx * l- lJae a €-r(.^.Lfib-' \4-'- >- SL;,-> 'a-ar )-d"v.71itw-t 9 S-*^fP'k '+^. .^', a'* J E-'tL"'*"-'+ -D- -r.'.i h {T t1*.4- n,,'.^,],l- b.- o- a lor$u'h "-*= ;.^-, s* fut d'(cJ -'r> U /itvl - C uL+3 *'o ru4-,-Ltr Gr r c'^'l-&'J'^' E] -h-r* c-a- v'-'tt b1 5 c"r--lr'r*; .'. c-Va-c*Ua ct"^t M'"0 ftt,.-46\
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4. Find the absolute maximum and minimum values of {-t '- 6r,\ - a) IE),-="."-" on [-2,2] {r;) "tv't,.J.-t^"^r *]il.* -5 b) f(x)= **J+-r [0,4] tr4) "(a) ' 4to) " > [r"t --x X't") -" , ,-1. t \ I u r"tr-y)'-L-, ) \->-.o z\q_y
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This note was uploaded on 04/07/2008 for the course MATH 151 taught by Professor Tighe during the Fall '08 term at UMBC.

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151 Exam III A Fall 07 - rrJFL MArHlsl EXAM IIIA Part L...

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