222-unknown-06faex03-v1

# 222-unknown-06faex03-v1 - MATH 222 LEC 3 EXAM#3 YOUR NAME...

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Unformatted text preview: MATH. 222, LEC. 3, EXAM #3 YOUR NAME T.A.'s NAME Show all your work. No calculators or references. I 2.(20 pts) 390 pts) 1. Name the conic described by 2y2 - x2 - 8y + 2x + 5 = O. . ' Sketch the graph of the equation and ﬁnd the eccentricity; and the vertices. 2. (a) Name the conic described (in polar coordinates) by r = 2/(2 + cos(@ D. ' (b)Draw a sketch of the curve. (c) Find the eccentricity and the cartesian coordinates of the vertices. ’ 3. Find the cartesian coordinates of all the intersection points of the two curves described in polarvcoordinates by r = 1 + cos (-9) and r =1 -cos(e ). ' 4. Find the unit tangent and curvature of 1'3: et?+ eZt/j‘ at the, point t = O. ‘ 5. The position of a particle at time t is given by ﬁt) = 2t3'i‘+ 3t2’j? - - At time t = 1 ﬁnd the (a) velocity, (b) speed, (c) acceleration, (d) the tangential component of the acceleration, and (e) the normal component of acceleration. ...
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## This note was uploaded on 08/08/2008 for the course MATH 222 taught by Professor Wilson during the Fall '08 term at University of Wisconsin.

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222-unknown-06faex03-v1 - MATH 222 LEC 3 EXAM#3 YOUR NAME...

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