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M408MF09assign5_Sol

# M408MF09assign5_Sol - M408M Fall 2009 Assignment 5 Due...

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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) and 7" (t) are perpendicular for all t. 7'3 «9+9t—rét v( :0 =57 1:0. SW“ ‘7“); Jimsﬂd Mismuwtbt ’fmwkxc/L 414 MZM‘M (ﬂaw + 307%}qu mo+mwww WIM (Pad/Lam mL1't7xa/ug IOOﬂAJ—Iy‘ﬂf/(M “Qumu Maw Jag.) Do wwWLg-> Chosl'vx51‘ﬁloo.d m’rC JMLL +u £1 “HI/0,4), W Per QPOIJ ‘RUWO/OB - WJ’K/ﬂ‘f’ «WRAWMWYEWGKKWW xvi—(Lizzy! (AﬁvaLﬂk W + ;+| M 08hch M'a/wvavJ-(é— XS—‘f-Z'> .4 . LHM Swot HFltWL; Flt)’ Flt) ) Bbmckm W meL/Mimmahw Qt; —' -1 -= g "/L j} MM} ~ 6(Ht)+/f)> j}; (F/O’F/“cﬂ ft 1 M 4 a «- aﬂPm-m>)"7— MM/JC)’ Ht» : _.L‘ d ’ "'- anan M Wm H”) NW) WIY‘g ’HL ’f/L WWUM dew, 3; {Ha-Fl m3 :F//0~Fm +‘HUVF/H) C01 Flt) F/(t) \$0 AMP/cm J. A 9:19 PM) A?" ah‘HUH = HO. F’ttX WHO!) ...
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