{VERSION 4 0 "IBM INTEL LINUX22" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal " -1 0 1 {CSTYLE "" -1 -1 "New century schoolbook" 1 18 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 "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 "Courier" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "New century schoolbook" 1 18 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 "R3 Font 3" -1 258 1 {CSTYLE "" -1 -1 "Ne w century schoolbook" 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 4" -1 259 1 {CSTYLE "" -1 -1 "New cent ury schoolbook" 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 5" -1 260 1 {CSTYLE "" -1 -1 "New century sc hoolbook" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 6" -1 261 1 {CSTYLE "" -1 -1 "New century schoolbo ok" 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "R3 Font 7" -1 262 1 {CSTYLE "" -1 -1 "New century schoolbook " 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "R3 Font 8" -1 263 1 {CSTYLE "" -1 -1 "New century schoolbook " 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "R3 Font 9" -1 264 1 {CSTYLE "" -1 -1 "New century schoolbook " 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "R3 Font 10" -1 265 1 {CSTYLE "" -1 -1 "New century schoolbook " 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "R3 Font 11" -1 266 1 {CSTYLE "" -1 -1 "New century schoolbook " 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "R3 Font 12" -1 267 1 {CSTYLE "" -1 -1 "New century schoolbook " 1 18 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 258 "" 0 "" {TEXT -1 34 "Mathematics 21 Clipper Calculus " }}{PARA 258 "" 0 "" {TEXT -1 47 "Maple Basics Demonstration (maplebasicsweb.mw s)" }}{PARA 259 "" 0 "" {TEXT -1 39 "An Introduction to Basic Maple co mmands" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "--- More information on Maple will be available" }}{PARA 0 "" 0 "" {TEXT -1 54 "during the se mester. Remember to try clicking on Help" }}{PARA 0 "" 0 "" {TEXT -1 23 "if you have a question." }}{PARA 0 "" 0 "" {TEXT -1 316 "---Every \+ Maple command must be ended with a semicolon (;), or a colon (:). Mos t of the time you want to end the command with a semicolon (;), but if you want to suppress the output -- that is, you want the command read by Maple, but you are not asking it to tell you anything back, end th e command with a colon (:)." }}{PARA 0 "" 0 "" {TEXT -1 145 "---To exe cute any of the Maple commands below (lines with red type), click on t he line with the mouse (left mouse button), and hit the Enter key." }} {PARA 0 "" 0 "" {TEXT -1 46 "---To type in text, press the F5 function key." }}{PARA 0 "" 0 "" {TEXT -1 60 "---Try some of the menu options \+ at the top of the worksheet." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 251 "--- Remember that, each time you start up a wo rksheet, even if a command is already written there (say, a definition of a function), Maple won't know about it until you enter that comman d again, by putting the cursor on that line and pressing \"Enter\"." } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 260 "" 0 "" {TEXT -1 22 "A.) \+ Basic Arithmetic" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "127+546;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "1.27+49.7;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "14/7;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "2^3;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "3^(1/2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "3+8*4+16/2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "3+8*(4 +16)/2;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 150 "To force Maple to give numerical approximations. Note th at the standard is 10 significant digits, not all of them to the righ t of the decimal point. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(15/2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "evalf(3^(1/2)*100,4);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf(1.0/7.0);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "evalf((3^(1/2),20));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 151 "B.) Special Constants. \+ Maple just thinks \"e\" is the fifth letter of the alphabet. Oddly, \+ though, it uses \"e\" in _output_ as the number 2.718281828." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "exp(1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalf(exp(1));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "evalf(exp(1),20);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 95 "Pi i s the number 3.14159... \"pi\" is just a Greek letter, and \"PI\" is a capital Greek letter.\n" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "Pi; \+ evalf(Pi);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "pi; \+ evalf(pi);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 261 "" 0 "" {TEXT -1 31 "C.) Basic operations, functions" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 15 "absolute value:" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "abs( -5);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 12 "square root:" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "sqrt(2);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf(sqrt(2));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 262 "" 0 "" {TEXT -1 28 "D.) So me built-in functions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 24 "trigonometric functions:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "cos(Pi/4); evalf(cos (Pi/4)); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "cos(pi/4 ); evalf(cos(pi/4)); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "sin(Pi/3); evalf(sin(Pi/3));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "tan(3*Pi/4); evalf(tan(3*Pi/4)) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "arccos(1/2); evalf(a rccos(1/2));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "arcsin(-1); evalf(arcsin(-1));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "arctan(1); evalf(arctan(1));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 40 "exponential and logarithmic fun ctions: " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "exp(2); evalf(exp(2));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "ln(2); evalf(ln(2));" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "log[3](81); evalf(log[3 ](81));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "log[b](A);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "log[b](b);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "log(10); evalf(log(10));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "ln(exp(B)); exp(ln(A));" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 43 "Note that Maple really deals only with the " }{TEXT 257 7 "natural" }{TEXT -1 49 " logarithm. log(x) to Maple is the same as \+ ln(x)" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 263 "" 0 "" {TEXT -1 11 "E.) Algebra" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 22 "factoring polynomials:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "12*x^2+27*x*y-84*y^2;" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "factor(12*x^2+27*x*y-84*y^2 );" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 22 "expanding polynomials:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "(x+y^2)*(3*x-y)^3;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "expand((x+y^2)*(3*x-y)^3);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 24 "si mplifying polynomials:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 14 "2/x^2 -x^2/2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "simplify(2/x^2 -x^2/2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 47 "normalizing (simplifying) rational expressions:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 14 "(x^5-1)/(x-1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "simplify((x^5-1)/(x-1));" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 40 "(x^4-7*x^3+3*x^2-2*x+5)/(x^3-5*x^2+4*x);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "normal((x^4-7*x^3+3*x^2-2*x+ 5)/(x^3-5*x^2+4*x));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 264 "" 0 "" {TEXT -1 22 "F.) Maple Expressions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 108 "A Maple expression is j ust any (legitimate) string of numbers, variables and operations. Som e examples...." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "x^4-7*x^3+3*x^2-2*x+5;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "x^2-sin(y^3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "(3^(2+h)-3^2)/h;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "a*cos(x) + b;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 31 "Naming expressions with := " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 176 "We \"name\" an expressio n by entering \n\nname := expression;\n\n (on the left is the name, on the right the expression). You can name outputs in the same way (lik e \"Total\" below):\n" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "Joe:=x^3+2 *x^2-x-2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "exp1:=x^3+2*x^ 2-x-2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "exp2:=x^4-7*x^3+3 *x^2-2*x+5;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "y2:=x^2-sin( y^3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "difquot:=(3^(2+h)- 3^2)/h;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "Total:=sum(n^2, \+ n=1..10);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 235 "\nYou can combine n amed expressions and perform operations on named expressions. Be sure that, each time you load the worksheet, you enter the line defining t he name -- that is, hit enter on that line, each time you load the wor ksheet." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "Joe + exp2; " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 " factor(Joe + exp2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "Joe/e xp2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "normal(Joe/exp2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 60 "To substitute x = 5 into the expression named \"exp2\":" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "sub s(x=5,exp2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 60 "To substitute x = 5 \+ into the expression \"Joe/exp2\":" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "subs(x=5,Joe/exp2);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 65 "Su bstitute x = 5 and y=7 into the expression x^2-sin(y^3):" }} {PARA 0 "" 0 "" {TEXT -1 40 "Notice the use of the brackets [...]... " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "subs([x=5,y=Pi/2],x^2-sin(y^3));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "subs([x=5,y=Pi/2],y2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 265 "" 0 "" {TEXT -1 20 "G.) Maple functions" } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 78 "A Maple \+ function is defined by assigning to a name a rule which describes a \+ " }}{PARA 0 "" 0 "" {TEXT -1 116 "function in the form x -> (expressi on with x). This is the best way to define a function in Maple. Some examples:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "f1:=x->x^2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "f2:=t->sqrt(t^2+1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "tf1:=t->sin(t)+cos(t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "g:=x->exp(x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "h:=x-> ln(x);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 157 "Evaluating Maple functions at specific values, like f1(3 ), results in a number, but if you evaluate it at an expression, like f1(2*t+1), you get a function." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "f1(2); f1(2*t+1);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f2(5); evalf(f2(5) ); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "f1(a);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "tf1(Pi/3); evalf(tf1(Pi/3));" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "g(3); evalf(g(3) );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "h(E);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "(f2(3+t)-f2(3))/t;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "(f2(a+t)-f2(a))/t;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 266 "" 0 "" {TEXT -1 20 "H.) Pl otting Graphs" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 48 "Execute the following to define three functions:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "f:=x->(1/2)*x^3+(2/3)*x^2-6* x+2; g:=x->(x^2+1)^(1/2); h:=x->exp(x)-2;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "To sketch the graph of f(x), execute the following:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "plot(f(x),x);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 55 "To get the same units on the x and y axes , click on the" }}{PARA 0 "" 0 "" {TEXT -1 45 "graph with the right mo use button and choose " }}{PARA 0 "" 0 "" {TEXT -1 43 "projection--->c onstrained from the menu. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 37 "To get a better picture near x=0, we " }}{PARA 0 "" 0 "" {TEXT -1 41 "can restrict the domain and/or the range:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(f(x),x=-2..2);" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(f(x),x=-2..2,y=-1..4);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 55 "Try shrinking the domain several t imes to obtain a good" }}{PARA 0 "" 0 "" {TEXT -1 52 "approximation of the x-intercept in between 0 and 1." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Plotting mo re than one graph:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot( [f(x),g(x)],x=-5..4); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "p lot([f(x),g(x),h(x)],x=-5..4);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 " " }{TEXT 256 20 "I. Solving Equations" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(x^2=5,x); " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Numerical approximation of solutions:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 36 "fsolve(x^2=5); fsolve(x^2=5,x=0..3);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 48 "Numerical approximation to n significant \+ digits:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 " evalf(fsolve(x^ 2=5,x=0..3),6);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "End of Demonstration" }}}}{MARK "6 5 0 0" 22 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }