quiz 4 answers

quiz 4 answers - ~CJ~~.l-:-(l, ~/"'} ~;- ~;t::...

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QUIZ 4 Name: REMEMBER!! Sho\\' details of your work a.nd use correct notation. 1. (10 points) Given the planes x - z = 1 and y + z = 3. a) Find the normal vector nl to the first plane and the normal vector n2 to the second plane. ~ ~\ = L I ,Q) - ''/ 1 !h. . =: <. 0 ) \ ) 'fl r"\, b) Find the angle ex between the two planes. , C~ 5 l a/. ., ~ .~ \. Y\ 'l. . -i[ e)Verify that P=(4 0,3) and Q=(1,3,0) are on the inter. eetion of the two planes. f J ( ~ J C ) ~ ) ~ (l) S/ 0) j 7 -\-<> +- L... ~ "'" --t~ ) '(J { +It.- () ~ Q.j o.-v-\ 0,{' \,Lf S' -\.1 + ~ ~ ~ 5 --\-'I~ -'": ~ . d) Find the parametrization of the line of intersection of the t"vo planes. "Q ( X.~ 1, ;:' ~l ) I) l \I ~ ~) 'If /1 r~ f L .t f i··d uSe 1-r. . '7. \l-V,L~ ~f'''\.j {Uf
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Unformatted text preview: ~CJ~~.l-:-(l, ~/&quot;'} ~;- ~;t:: )1.=-/; e)Find the symmetric equations of the line of intersection of the two planes. x -I _ 'j 3 ) - I 2. (5 points) Find a rectangular equation for the graph represented by the spherical equation: p = 2 sec . p=20secp1! p= ~t =) fl'&gt;st=1.-===)r~=--2--J 1 3. (5 points) Given f(.1:, y, z) = x In yz + z In xy, compute fzx t-e-1&lt; =-~(Ji i&lt;~IP;+&quot;l; )('1)) :: 1-( (tv. :fZ');z 4--&lt; ~ 't--j )) :: r;. . 1 .~-r ~-2-(1. .. t-t-,)l'1) Jf. . l jf-z. . :::: 4 .-i'&quot; 4. (5 points) ~ t-.--:-Calculate the limit, if it exists. Otherwise explain . 01, exist. A ~ ...... ) G. (5 points) Sketch the domain of the function J(x, y) = In(2x -y + 1) 2...
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This note was uploaded on 02/25/2010 for the course MATH 201 taught by Professor Kim during the Spring '07 term at SIU Carbondale.

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quiz 4 answers - ~CJ~~.l-:-(l, ~/&amp;amp;quot;'} ~;- ~;t::...

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