exam1_sols_fall07

exam1_sols_fall07 - Math 250 Exam 1 Fall 2007 Your Name...

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Unformatted text preview: Math 250 Exam 1 Fall 2007 Your Name Your Signature I t<~1 Student ID Give your answers in exaet form, Do not give decimal approximations. Only Scientific Calculators are allowed. In order to receive credit, you must show your work. Do not do computations in your head. Instead, write them out on the exam paper. Place a box around I YOUR FINAL ANSWER I to each question. If you need more room, use the backs of the pages and indicate to the reader that you have done so. Problem Total Points Score 1 12 2 19 3 12 4 12 5 10 6 12 7 9 8 6 9 8 Totitl 100 Math 250, Fall 2007 Exam 1 Page 1 of 6' 1. [12 points total] Answer each of the following as true (T) or false (F). Do not justify your answen:i. [II If the ae cleration of a parameterized cnrv' r(t) =< .1:(l),y(t),z(t) > is zero then t.he curve r(/;) is it line. A..,~. I! we ~"\~Ljl"- t., ~~ .(.c 1 ',) (.:;)o1jt~..,~ V'~ 1>( y 0- rr=J .\~. r,c+)=- ..rl~)""~X . '. L.!:J A cIrcle of radms 1/2 11a a small .r curvat,ure than a CIrcle of rachus 1. ~. T l>-- c.v..,V v.'~ ~ ~ C i ( .f!...A- .:>-C f~ .\,4. j r ,.) e.;of .... .>-( E The gTa~l? of the-ilJ:tion f(.1:, y) = cos (:1:71) can be written as a level snrface of a. f\lnchon .9(x, y, z) [jj Any function u(:z;, y) that satit;fie::l 'U" + u", - uy = 2008 has no local maxima. --,-- A ~ b{_\ r'18-"t, "'~:~'j::' o.ftVII 0" a _ ~ ( w"\.'? [p (.,...\ ~..>- 1-' 'M..:J---- [1J The function u(x, t) = sin(t + .1:) satisfies Lhe equation U = Ute" . i'\~ . lA. -- (..)~(.,.t-tl, ~ =- (0.\( rotl ~\ \A - 4 - 11-- k- 7 *:,.. - ITI If the velocity vector and the acceleration veeL( r of a curve are parallel Lhell the curvature of the curve is zero. of the curve is zero....
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exam1_sols_fall07 - Math 250 Exam 1 Fall 2007 Your Name...

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