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}}{PARA 0 "" 0 "" {TEXT 293 12 "factor(e xpr)" }{TEXT -1 39 " Factors the given expression " }}{PARA 0 "" 0 "" {TEXT 276 11 "fsolve(eqn)" }{TEXT -1 64 " Finds nu merical (approximate) solutions to equations." }}{PARA 0 "" 0 "" {TEXT -1 29 " " }{TEXT 300 27 "fsolve(x^2= cos(x)+4,x=0..5)" }}{PARA 0 "" 0 "" {TEXT 267 11 "ifactor(n) " }{TEXT 268 67 " Gives prime integer factorization for a given int eger " }}{PARA 0 "" 0 "" {TEXT 278 9 "lhs(eqn )" }{TEXT -1 56 " \+ Selects the left hand side of an equation" }}{PARA 0 "" 0 "" {TEXT 295 15 "implicitplot( )" }{TEXT -1 41 " Plots implicitly d efined functions" }}{PARA 0 "" 0 "" {TEXT -1 29 " \+ " }{TEXT 301 74 "implicitplot(x^2/25 +y^2/9=1 , x=-5 . . 5,y=- 5 . . 5,scaling=constrained);" }}{PARA 0 "" 0 "" {TEXT 296 8 "numer( ) " }{TEXT -1 51 " Selects the numerator of a fraction" } }{PARA 0 "" 0 "" {TEXT 269 17 "plot( ) " }{TEXT 270 61 " \+ Plots functions defined by an algebraic expression: " }}{PARA 0 " " 0 "" {TEXT -1 29 " " }{TEXT 302 49 " \+ plot(3*x^2-8 , x=-5 . . 5 , y = -20 . . 40 );" }}{PARA 0 "" 0 "" {TEXT -1 68 " Plots more than one function at a time:" }}{PARA 0 "" 0 "" {TEXT -1 29 " \+ " }{TEXT 305 68 " plot( [ 3*x^2-8 , sin(x) , cos(x) ] ,x=-5 . . \+ 5 , y=-20 .. 40 );" }}{PARA 0 "" 0 "" {TEXT -1 42 " \+ Plots points:" }}{PARA 0 "" 0 "" {TEXT -1 34 " \+ " }{XPPEDIT 18 0 "plot([ [2,3],[-2,5],[1,-4] ],x=- 7..7,y=-7..7,style=point);" "6#-%%plotG6&7%7$\"\"#\"\"$7$,$F(!\"\"\"\" &7$\"\"\",$\"\"%F,/%\"xG;,$\"\"(F,F6/%\"yG;,$F6F,F6/%&styleG%&pointG" }}{PARA 0 "" 0 "" {TEXT -1 29 " " }{TEXT 299 28 "Plots parametric equations :" }}{PARA 0 "" 0 "" {TEXT -1 33 " \+ " }{TEXT 303 57 "plot( [cos(t), sin(t) , t=0 . . 2*Pi] , x=-2..2, y=-2..2);" }}{PARA 0 "" 0 "" {TEXT 262 18 " rationalize(expr) " }{TEXT 263 52 " Rationalizes the denominator of a given expression" }}{PARA 0 "" 0 "" {TEXT 297 7 "restart" }{TEXT -1 58 " Clears Maple's memory of all definitions" }} {PARA 0 "" 0 "" {TEXT 279 9 "rhs(eqn )" }{TEXT -1 56 " Se lects the right hand side of an equation" }}{PARA 0 "" 0 "" {TEXT 271 14 "simplify(expr)" }{TEXT -1 38 " Simplifies the given expressi on" }}{PARA 0 "" 0 "" {TEXT 277 10 "solve(eqn)" }{TEXT -1 95 " \+ Finds exact solutions to equations, including literal equations an d linear systems." }}{PARA 0 "" 0 "" {TEXT 264 16 "subs(x= v,expr) " } {TEXT -1 50 " Substitutes the value v for x in the expression" }} {PARA 0 "" 0 "" {TEXT -1 29 " " }{TEXT 304 18 "subs(x=4,3*x^2+8);" }}{PARA 0 "" 0 "" {TEXT 298 7 "with( )" } {TEXT -1 62 " Brings in additional libraries of funct ions." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 13 " The standard " }{TEXT 286 9 "constants" }{TEXT -1 5 " are:" }}{PARA 0 "" 0 "" {TEXT 280 2 "Pi" }{TEXT -1 12 " " }{XPPEDIT 18 0 "P i" "6#%#PiG" }{TEXT -1 65 " Caution: Do not use \"pi\", capital \"P\" is required " }}{PARA 0 "" 0 "" {TEXT 281 6 "exp(1)" } {TEXT -1 5 " " }{XPPEDIT 18 0 "exp(1)" "6#-%$expG6#\"\"\"" }{TEXT -1 11 " " }}{PARA 0 "" 0 "" {TEXT 282 1 "I" }{TEXT -1 11 " \+ " }{XPPEDIT 18 0 "sqrt(-1)" "6#-%%sqrtG6#,$\"\"\"!\"\"" } {TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 27 " The names of the standard " }{TEXT 287 9 "functions" } {TEXT -1 5 " are:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 283 7 "sqrt(x)" }{TEXT -1 3 " " }{XPPEDIT 18 0 "sqrt(x)" "6#-% %sqrtG6#%\"xG" }{TEXT -1 2 " " }}{PARA 0 "" 0 "" {TEXT 284 6 "abs(x) " }{TEXT -1 3 " " }{XPPEDIT 18 0 "abs(x)" "6#-%$absG6#%\"xG" }} {PARA 0 "" 0 "" {TEXT 285 6 "exp(x)" }{TEXT -1 3 " " }{XPPEDIT 18 0 "exp(x)" "6#-%$expG6#%\"xG" }}{PARA 0 "" 0 "" {TEXT 290 5 "ln(x)" } {TEXT -1 16 " natural log" }}{PARA 0 "" 0 "" {TEXT 291 9 "log(x) \+ " }{TEXT 292 20 "common log (base 10)" }}{PARA 0 "" 0 "" {TEXT 288 46 "sin(x), cos(x), tan(x), cot(x), sec(x), csc(x)" }{TEXT -1 25 " \+ sine of x, etc." }}{PARA 0 "" 0 "" {TEXT 289 32 "arcsin(x), arcc os(x), arctan(x) " }{TEXT -1 52 " the inverse trig functions" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} 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