{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 0 0 0 128 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 0 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart; " }{TEXT -1 178 "\nIn einem Messzylinder steht eine Fl\374ssigkeit, die in \na) ei n Reagenzglas \nb) einen kegelf\366rmigen Trichter gegossen wird. \+ Die jeweiligen Fl\374ssigkeitsh\366hen werden bestimmt, " }}{PARA 0 "" 0 "" {TEXT -1 133 " \+ beim Reagenzglas vom untersten Punk t aus gemessen." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 71 "\n Messzy linder ( Radius R, Fl\374ssigkeitsh\366he h) Angaben in cm" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "R:=1.2:\nh:=4:\nVolumenMessz ylinder:=Pi*R^2*h;\n\n" }{TEXT -1 62 "a) Reagenzglas (Zylinder mit auf gesetzter Halbkugel, Radius r)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%4V olumenMesszylinderG,$*&$\"$w&!\"#\"\"\"%#PiGF*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "r:=0.8: \nFluessigkeitshoehe_a:=solve(Pi*r^2* h1 = VolumenMesszylinder - 2/3*Pi*r^3,h1) + r;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%5Fluessigkeitshoehe_aG$\"+nmmm#*!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 " b) kegelf\366rmiger Trichter ( \326f fnungswinkel 60 Grad)\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 " Mantellinie:=fsolve(1/3*Pi*(m/2)^2*m/2*sqrt(3) = VolumenMesszylinder,m ) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,MantellinieG$\"+dw]0V!\"*" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "Fluessigkeitshoehe_b:=eval f(Mantellinie/2*sqrt(3));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%5Fluess igkeitshoehe_bG$\"+2!z'GP!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "7 0 0 " 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }