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Unformatted text preview: M408M Fall 2009
Assignment 5
Due Thursday, October 8 Be sure that you have read and understood sections 13.57 13.6, 14.1 and 14.2
and worked the assigned text exercises before you complete this assignment. You must show sufﬁcient work in order to receive full credit for a problem.
Please write legibly and label the problems clearly. Circle your answers when
appropriate. Multiple papers must be stapled together. Write your name and
the time of your discussion section on each page. Homework is to be turned
in at the beginning of the discussion section. 1. Show that the line given by the vector equation < my, 2 >=< 1,07 —1 > «H < 1, —2, 0 > does not intersect the plane
217 + y + z : 0 (i.e. the line and the plane are parallel) and ﬁnd the distance
between the line and the plane. 2. Describe the traces of the surface .732 + 43/2 — 1622 = 1 in the coordinate
planes and sketch the surface. 3. Find a vector function representing the curve of intersection of the paraboloid
z = 4:172 + y2 and the parabolic cylinder y = $2. 4. Let FOE) be a vector valued function. d
(a) Use the fact that “17H2 2 17 17 to ﬁnd a simple expression for (b) Show that if = c for all t where c is a non—zero constant then F(t)
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 Fall '07
 Gilbert

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