q118085f02

q118085f02 - MIT OpenCourseWare http:/ocw.mit.edu 18.085...

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MIT OpenCourseWare http://ocw.mit.edu 18.085 Computational Science and Engineering I Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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18.085 Quiz 1 Professor Strang October 4, 2002 Your name is: Grading 1 2 3 Total 1) (30 pts.) This qncstion is abo~lt t,llc closcst st,raight line h = C + Dt t,o t,hr measure- mcrlt,s hl. 11~;11:~at t,hrcc tliffcrcrlt tirrlcs tl, t2; t:3. Il'hat syst,cm A?; = h (cspccially find .4) \~ronltl \IT like t,o solve for C arltl D but probably can't'! Is ATA posit,ivc dcfinit,~ or scrnidcfinit,c? Siipposc the '.ccnt,cr of rnass" is at (0.0); meaning C ti = 0 arltl C h, = 0. Firltl t,llc best least sqllarcs line C + Dt (so ? = (C, D)). Sho~v that t,llis line goes t,hrongll the origin (0.0). Il'hat is t,hc condit,ion on tl, t2. t:3 and hl. 11~;11:~for the tllrcc point,s t,o actiially lie on a line (so AT = 11 is s01~~aI)lc ~vit,lloiit going t,o least sqt~arcs)'! \.iilriot~s ways t,o ans\~~cr. the rrlorc specific t,llc I)ctt,cr.
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2) (30 I\?
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q118085f02 - MIT OpenCourseWare http:/ocw.mit.edu 18.085...

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