Ernst_Quiz_2_Fall_2007

Ernst_Quiz_2_Fall_2007 - QUIZ #2 MATH-102-02 OCT. 19,2007 4...

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QUIZ #2 MATH-102-02 OCT. 19,2007 ~ libh + -1bh +;b bh - J. ..") 1-' :If' - 6) ~"3)e3l f- cQ \-C)A. .~) I "'" ~uo- j-CI./) ~5/ 5 r1 ~ 4 1. Evaluate the definite integral, f (I x - 21- I) dx by interpreting it in terms -1 of areas. Draw the graph. J'I \X-02/-1 - \ ~(-1)::-1-1-~ 1-"1 '-"'"~ +(0) '= JO-Q.l -I ,"1 f' ~ I hI)=- l-~I - 1.::-0 fu)::- (~--.QI- t --1 Fc n -- I;-,~ t - i::: 0 -F( q) ~ 14 - <}. 1- I "1 2. Approximate the area under the graph of f(x) using middlepoint rectangles to two decimal places. f(x) = -E on [1,4], for n = 3 k~3:> (~-I~( ~(~)~ +-(~)+ f-(;,) ] ::1 [J3I~+ r; + fi;J = 4- Gt
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:: 1 f.j. ~ _ ~ / OI~ .;<- C)', I /~ \ \ \ I I \ 4 J (2x2 + x)dx 1 tj -I 3 .dX = - '=_ n If + c 0) + l ( b~ ) ) ~ (1 T-3'7n) ~(I +- 3~ ") .:= ~ (I t- 3~f1/ + (\ + 3Yt1) = ~ (I 4- CoJn + 9~: ) + ( I+% ) ==- ;l +- 1~( .~ --- + I~L + I +~ n 71" f) I -= 3 + 15 L I"" ;l. ___ -;- 0 ( Y/ 7f 4x2-x 4. Given
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Ernst_Quiz_2_Fall_2007 - QUIZ #2 MATH-102-02 OCT. 19,2007 4...

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