{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 88 0 224 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title " 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 1 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 83 "File: depart\\math\\mat150 0\\problems\\sfps3-16.mws Date: 11-nov-1997 By: bob jantzen" }} {PARA 18 "" 0 "" {TEXT -1 84 "James Stewart Calculus: Concepts and Con texts, Focus on Problem Solving 3.16, p 265." }}{PARA 0 "" 0 "" {TEXT -1 2 "??" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 " " }{MPLTEXT 1 0 17 "a :=1: b:=sqrt(3):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 79 "eq1:=x1 ^2/a^2+y1^2/b^2=1;\neq2:=x2^2/a^2+y2^2/b^2=1;\neq3:=x1*x2/a^4+y1*y2/b^ 4=0;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "eq4:=x*x1/a^2+y*y1/ b^2=1;\neq5:=x*x2/a^2+y*y2/b^2=1;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "solxy:=solve(\{eq4,eq5\},\{x,y\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "sol1:=solve(eq1,y1);" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 20 "sol2:=solve(eq2,y2);" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 39 "perpc:=subs(y1=sol1[1],y2=sol2[1],eq3);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "solx2:=solve(perpc,x2);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "solxyx1:=subs(y1=sol1[1],y2= sol2[1],x2=solx2[2],solxy);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "plot(sol1[1],x1=0..1,scaling=constrained); ellplt:=%:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "plot([rhs(solxyx1[1]),rhs(solxyx1[2 ]),x1=-1..1],scaling=constrained);\nperpltT:=%:" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 46 "perplt2:=plot(sqrt(3*(1-x^2/3)),x=0..sqrt(3)): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "display(\{ellplt,perpltT,per plt2\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "1 0 1" 17 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }