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234-dickey-07sp01

# 234-dickey-07sp01 - MATH 234 Lec 2 EXAM 1 YOUR NAME T_A's...

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Unformatted text preview: MATH 234, Lec. 2, EXAM # 1 YOUR NAME T._A.'s NAME DISC. SEC. (Time and Day) Show all your work. No calculators or references. ‘ 1.(20 points) 2.(20 points) I3.(20 points) 4.(20 points) 5.(2O points) (a) _ Find the equation of the plane containing the three points (1,1,1), (2,1,2), (2,2,1). (b) Find the distance between the two parallel planes x+y+z=1andx+y+z=5. 2. Find the length of the curve ﬁt) = et/i\+ etcos(t)f + et sin(t) [R for 0 5 t _<_ 1. 3. A particle moves along the path ﬁt) = (1/t)/i\+’j‘ +‘t2 Find the tangential and normal components of the accieleration at t = 1. 4. Find the wig tangefnt, prinCip/[e normal, and binormal for the curve r(t) = H +th +tk att= 1. (a) ,. A point has sphericai coordinates ,0 = 4, C = 7774, ¢ = 7/ [3. Find the cylindrical coordinates of the point. (b) . /° = 2 cos( ¢ ) describes a surface in spherical coordinates. Find the equation of the surface in cartesian coordinates. ...
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