Day 36 &amp; 37

# Day 36 &amp; 37 - Pledged_-=-+-'l\.-M~\r- Math I II...

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Math III Pledged_----=-+¥---'l\. ..--M~\r---- .rJf) )('\ .. 1,,0--- , ~ 1. A square piece ofcardboard with each side 24 inches long has a square cut out at each corner. The sides are then turned up to form an open box. Find the side of the cut -out square that will produce a box ofmaximum volume. "X== ? V=-( ~ ~ -d. X'ry- is I'YI a.:X: V = ;> "z'(r ~ - X') 2)( V 1= ~~ [(I :;1.-)(lYIJ + X.~ (J2-XJ(-I)] vi: l-l(12-)<)[I~-"X-.2)lJ \J I::: 1-{ (1.:2 - )<. j ( I ~ - 3 X) \ + 1-·, + i X= \:1. -x.== t-J o 4 \2 :JL( 0T@ I@ 6= 1-/ !;) · rr fYll1~ miN oc.,\ .~~ . A rock is thrown upward from the top ofan 80 foot high building. After 2 seconds the '" \~ rock reaches its maximum height (v(2) = 0) and then falls to the ground. What is the ~ c.,e; terminal velocity? (a(t) = -32 ftlsec) ~ V (t: ) = - 3;;fi. + C. V (;Z ') = - 3::1 (;2) -t e. == 0 V(t)=-3;n.-+. ~L\ c.= ~CV~ -{,(t)= -IL,-L'l. +L,4-t: + ~O -\tt,(i:-'l.- L\t - SJ ~ O~ ~ C-l::-"SJ(i::+\) -1::= S sec ~ w-he;~5 /~C

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x~ \\f'. \ j. Evaluate the following and ~ate a graphical interpretation for each: ( 4) , . --" ( r-- \ a) li~Arctan - -== l~Jl, \\I 'AO II 0 -Jlj x~o X ~.J n ~ ) ~ ~ . -.-- ~-C~_:t:--') := - I- . Ix+ll c) 1 1m "------'- X'~-,- (X-t-i) x~-l x+ 1 ~ (X-t\') =- \ )(~- i + (X:~) qo-p ~ (j'wYY'(l 3 I X -2- d) lim · .L :::- x~oo 4 _ x 2 I " x x:::-~ e) lm-- x~-4- X + 4
(J9 fb){J (i)' ),J. . A

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## This note was uploaded on 12/05/2011 for the course MATH 111 taught by Professor Bang during the Fall '08 term at Emory.

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Day 36 &amp; 37 - Pledged_-=-+-'l\.-M~\r- Math I II...

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