M408MF09assign5_Sol - 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

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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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This note was uploaded on 11/08/2009 for the course M 408M taught by Professor Gilbert during the Fall '07 term at University of Texas at Austin.

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M408MF09assign5_Sol - 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

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