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0 "" 0 " " {TEXT 256 11 "evalf(expr)" }{TEXT 257 37 " Numercially eva luates the " }{TEXT -1 16 "given expression" }{TEXT 258 38 " to the de fault number of digits (10)." }}{PARA 0 "" 0 "" {TEXT 259 13 "evalf(ex pr,n)" }{TEXT 260 34 " Numercially evaluates the " }{TEXT -1 16 "given expression" }{TEXT 261 12 " to n digits" }}{PARA 0 "" 0 "" {TEXT 266 12 "expand(expr)" }{TEXT -1 36 " Expands the given ex pression" }}{PARA 0 "" 0 "" {TEXT 293 12 "factor(expr)" }{TEXT -1 39 " Factors the given expression " }}{PARA 0 "" 0 "" {TEXT 276 11 "fsolve(eqn)" }{TEXT -1 64 " Finds numerical (approximate ) solutions to equations." }}{PARA 0 "" 0 "" {TEXT -1 31 " \+ " }{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 integer " }}{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 "implici tplot( )" }{TEXT -1 42 " Plots implicitly defined functions" }} {PARA 0 "" 0 "" {TEXT -1 31 " " }{TEXT 301 74 "implicitplot(x^2/25 +y^2/9=1 , x=-5 . . 5,y=-5 . . 5,scaling=c onstrained);" }}{PARA 0 "" 0 "" {TEXT 311 15 "limit(expr,x=a)" }{TEXT -1 70 " Finds the limit of the expression or function as x approa ches a." }}{PARA 0 "" 0 "" {TEXT -1 31 " \+ " }{TEXT 312 27 "limit(g(t), t = +infinity);" }}{PARA 0 "" 0 "" {TEXT 296 8 "numer( )" }{TEXT -1 50 " Selects the numera tor of a fraction" }}{PARA 0 "" 0 "" {TEXT 269 17 "plot( ) " }{TEXT 270 61 " Plots functions defined by an algebraic expres sion: " }}{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 t han 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 44 " \+ Plot a function:" }}{PARA 0 "" 0 "" {TEXT -1 33 " " }{TEXT 310 22 "plot( f(x), x= - 5..5);" }}{PARA 0 "" 0 "" {TEXT -1 42 " Pl ots points:" }}{PARA 0 "" 0 "" {TEXT -1 32 " \+ " }{TEXT 308 69 "plot( [ [2,3], [-2,5], [1,-4] ], x= -7..7, y= -7..7, style = point);" }}{PARA 0 "" 0 "" {TEXT -1 47 " \+ Plot with a title:" }}{PARA 0 "" 0 "" {TEXT -1 32 " \+ " }{TEXT 309 68 "plot( 3*x^2 - 8, x= -5..5, y = -20..40, title = \" Volume vs. Time\");" }}{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 " Selects the right hand side \+ of an equation" }}{PARA 0 "" 0 "" {TEXT 271 14 "simplify(expr)" } {TEXT -1 38 " Simplifies the given expression" }}{PARA 0 "" 0 " " {TEXT 277 10 "solve(eqn)" }{TEXT -1 95 " Finds exact solu tions to equations, including literal equations and linear systems." } }{PARA 0 "" 0 "" {TEXT 264 16 "subs(x= v,expr) " }{TEXT -1 50 " Subs titutes 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 functions." }}{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 "P i" }{TEXT -1 12 " " }{XPPEDIT 18 0 "Pi" "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 nam es 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), arccos(x), arctan(x) " }{TEXT -1 52 " the inverse trig functions" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 26 }{VIEWOPTS 1 1 0 1 1 1803 }