WPCQ' M>E<`n@~E9P¬EC?PsKG(E O /JNJ7 ԮPn:cmj.9o >A~so&m#O6róIW%nP;% ܞ}IJ/NZAAum9z-`Al^'XnR s,[kEC'V l)2t:jr*1ηl;#mW?gY&'itmht?4JƊ'WJ,D"{R@2XԁCG~8ѢW'yeЪd8~˟R,,#<υuX9B9j碦DU> % 0O( U<w U> e D+  0O 0C2 AMu  d7  df-  d 6d7Ndf'd.d9=dW:>dWA&dWgDdWYYdBNdhd1`df5d,Sdd6:Pdtd7dR"n!" 04$#%N&^ &w&4&& m&UN'* `&CG Times 12ptWPX'  311 Pre-Quiz 2pre-quiz  0 .     R)   _,Z,XX,Z,,,Z@މ,,Zމމ@    1  A  Ԉt t t (#,Z,މ,Z,,,Z"US ,   August23,2008!  ('2R$ ;U!   * `$CG Times 6ptWP* `&CG Times 10ptWP'dxd Level 1 Level 2 Level 3 Level 4 Level 5('2R$ ;U!   ($      A<< c {df}over{dx}{0E\dfISdx {d^2f}over{dx^2} X)5XXOvd2XXvfXX?Gdx2 Int_0^1`f`(x)`dx XXHL?170XXfXXm(XXxXX)XX_dx {dg}over{dt} X)XX?VdgXXUGdt {d^2g}over{dt^2} X)5XX?vd2XXvgXXUGdt2 Int_0{vert50inf}`g(t)`dt XXHL70XX6XXggXX(XX tXXE)XXdt zA{vert80horz50>}~=~2ihat~~jhat~+~khat~\and~B{vert80horz50>}~=~ihat~+~3jhat~~2khat`. XXGAXX-XX GXXG2XXguXXQGiXXGXXuXXGjXXeGXXkuXXEGkXXGandXXyGBXXXXoGXXe uXXO GiXX GXX G3XXC uXX- GjXX GXX G2XX1 uXX GkXXy G. 3A{vert80horz50>}~+~B{vert80horz50>} XXGAXX-XX GXXGBXX 4A{vert80horz-50->}~~B{vert80horz-50->} XXGAXX-XX GXXGBXX 7A{vert80horz-50->}~cdot~B{vert80horz-50->} XXGAXX-XX GXXGBXX :A{vert80horz-50->}~TIMES~B{vert80horz-50->} XXGAXX-XX G'XXGBXX OLINE`A{vert80horz50>}`LINE~\and~LINE`B{vert80horz50>}`LINE XXG XXGAXXXX=G XXGandXXuG XXGBXXXXG  8A{vert80horz50>}~\and~B{vert80horz50>}`. XXGAXX-XX GandXXGBXXXXEG. E{vert80horz50>}`(t)~=~2`t`ihat~`t^3`jhat~+~t^2`khat~\and~F{vert80horz50>}`(t)~=~t^2`ihat~+~3`t`jhat~~2`t^4`khat`. XXGEXX-XXG(XX GtXXEG)XXGXXG2XX9GtXXuXXGiXX!GXXGt3XXuXXqGjXX GXXGtC2XXuXXGkXXMGandXX GFXX XX G(XX GtXX G)XX GXXy Gt 2XXA uXX+ GiXX GXXG3XXGtXXuXXmGjXXGXXG2XXaGt4XX9uXXGkXXG. '{d`E{vert80horz50>}}over{d`t} X)XX?VdXXVEXXXXrGdXXGt +{d^2`E{vert80horz50>}}over{d`t^2} X)5XX?vd2XXvEXX3XXrGdXXGtD2 Idover{dt}~(`E{vert80horz50>}~cdot~F{vert80horzτ50>}``) X)XX[VdXX?GdtXXI(XXEXXXXXX)FXX?XX) ~Int_{F{vert80horz50>}`(0)}^{F{vert80horz50τ>}`(t)}~E{vert80horz50>}~cdot~d`F{vert80horzτ50>} XXHL1F?1(k1t1)7F7(+70o7)XXEXX+rXX XXdXXFXX-r 0{d^2`x}over{d`t^2}~+~k~{dx}over{dt}~=~0 8X/5XXEvd2XX#vxXXUGdXXGt'2XXXXkX5XXvdxXXgdtXXXX0 {dx}over{dt} X)XX?VdxXXOGdt G~=~left[matrix{1&2#3&4}right]~;~~~H~=~left[matrix{5&3#2&1}right]~;~~~V~=~left[matrix{2#6}right] XXGXXXXpvXX+xXXxXXwXXcp}XXc+XXcXXc~XX1XX2XXG3XXG4XX;XX3HXXXXpvXX+xXXxXXwXXp}XX+XXXX~XX-5XX3XX-G2XXG1XX ;XXO VXX! XX pvXX +xXX xXX wXX p}XX +XX XX ~XX3 2XX3 G6#|w * `&CG Times 12ptWPXXw PS+GXP* `&CG Times 14ptWP PK+GP* `$CG Times 6ptWP,,< P+G,P* `&CG Times 10ptWPd P[+GP( U$  HP Officejet Pro L7700 Series44079 *8g ȐU(I Z6Times New Roman Regular ;U!   _XX_C___EarlC.Swallow@EE&PreQuiz=(#Physics31101 6 _   `     h _@*1.0  f(x)=5x2(32x). ~(#(#   a. ` Evaluate:G73z X S p @@@EL RUiUi  R    b. ` Evaluate:G73z X  p @@@EL NN      c. ` Evaluate:G73z X v p @@@EL +22 cY +{  2.  g(t)=_Ae__bt_;b>0 )y   a. ` Evaluate:G73z X ` p @@@EL M..  M   b. ` Evaluate:G73z X  p @@@EL lNN " l   c. ` Evaluate:G73z X  p @@@EL "PP " " 3.0  Writesin(__Ԁ+_-_)intermsofsin__,sin_-_,cos__,cos_-_. 'Z"(#(#   (l# _4.  G73z X  p @@@E m m@R    a. ` Evaluate:G73z X  p @@@EL UU (2 l   b. ` Evaluate: G73z X  p @@@EL V UU 2 V    c. ` Evaluate:!"G73z X  p @@@EL TUTU    8    d. ` Evaluate:#$G73z X  p @@@EL "UU Z  "    e. ` Evaluate:%&G73z X  p @@@EL UU       f. ` Findthecosineoftheanglebetween'(G73z X  p @@@EUUH&  j  5.0  )*G73z X   p @@@ETmm@Z T (#(#   a. ` Evaluate:+,G73z X  p @@@EL ~~ T N   b. ` Evaluate:-.G73z X  p @@@EL ! r~ !#   c. ` Evaluate:/0G73z X  p @@@EL %FNFN $ %""   d. ` Evaluate:12G73z X  p @@@EL ( +(\m (o%  ,K) _6.  34G73z X  p @@@ENN@߀_is_Ԁadifferentialequation.    a. ` Verifythatx=1isasolution. _   b. ` Verifythatektisasolution. 3    c.0 ` Usetheabove(linearlyindependent)specialsolutionstoconstructa W  generalsolution.i ` (#` (#   d.0 ` Constructasolutionsubjecttotheinitialconditions: ` (#` (#    ` x=0att=0and56G73z X S p @@@E""߀=v0att=0.   7.  78G73z X  p @@@E m m@v      a. ` Evaluate:_GH_ N   b. ` Evaluate:HG r   c. ` Evaluate:_GV_    d. ` Evaluate:_GT_(thetransposeofG)     e. ` Evaluate:det[G](thedeterminantofG)