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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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This note was uploaded on 09/15/2009 for the course MATH 234 taught by Professor Dickey during the Spring '08 term at Wisconsin.
 Spring '08
 DICKEY
 Multivariable Calculus

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