{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 "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 "Headi ng 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "MAT1505 04S Test 1." }}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "1. integration" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "Int((u^(1/4)+1)^2,u);\nInt(expand((u^(1/4)+ 1)^2),u);\nvalue(%)+C;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "p lot(x/(x^2-4),x=3..4,y=0..0.6);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "Int(x/(x^2-4),x=3..4);\nvalue(%);\nevalf(%);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 28 "2. area and approximate area" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(student);" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 16 "f:=x->sin(Pi*x);" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 40 "Int(f(x),x=0..1);\nvalue(%);\nA:=evalf(%);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "middlebox(f(x),x=0..1,2);" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "middlesum(f(x),x=0..1,2); \nvalue(%);\nM2:=evalf(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "(M2-A)/A*100;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 23 "3. volume \+ of revolution" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plot([2*x,x ^2],x=0..2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "x=solve(y=2 *x,x);\nx=solve(y=x^2,x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "Int(Pi*(y-y^2/4),y=0..4);\nvalue(%);\nevalf(%%);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 41 "4. absolute value integral and technology " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "plot([exp(-x),1/2],x=0.. 1);\nsolve(exp(-x)=1/2,x);\nevalf(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "Int(exp(-x)-1/2,x=0..ln(2))+Int(1/2-exp(-x),x=ln(2).. 1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(%);" }}}}}{MARK "0 0 0" 19 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }