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A„€ž  6ˆ-Œ Ai  ¼ 4ÑA„@Æ 06—-@:Ñ,&@d6–-„8—,0—$²"„8Œ,½}A„`Ð  6„8—,-Œ(–A„0Ú @ 6€-Œ6ˆ-– A0'‚-@&0–„8‚,@6„8‚,-„8‚,&€%Œä  ‚î 6Ð-Œø  A4¾}4±A‚ ! A‚0 !(–6Œ-Œ& A„@! 6„8—,-Ž A„ ! 6ˆ-Æ!!'6ˆ-ˆ%ˆ ÐA„"!> ˆ-º¿}   ˆ ýÞ4 ERROR, expected > A‚4!?!„8Œ,)@ „8Œ,56.existing topic number? A„€>!p >:A%À},p„8Œ,A† A‡A‡@A‡–AˆAˆAˆ"Aˆ&Aˆ4AˆFAˆ`f!V' >:A%,Help iÁ}s available on* V &1: Expressions 7: Compound Linesg!P' 2: Algebraic Expand 8: QuotingP $3: Functions Â} 9: ReEvaluationh!b* "4: More Expansion 10: DerivativeO  5: Assignments 11: Integralb 6: Non-displayi!A > 3Ã}Enter a topic number followed by a question markA j!T, $Study topics in order the first time/ J See manual for detaÄ}ilsT A‚ ¬!QQ IAfter each question mark prompt, enteran expression using digits, decimal¶!T(  points, parentheses andÅ} 1-letterT &variables together with operators +, -À!SS K/, * and ^. The latter means raising to a power. *, meaning muÆ}ltiply, canÊ!UU Lbe omitted. Following each such inputan equivalent expression is displayed,Ô!K) !derived by reorderingÇ}, collectingK similar terms, and other mildÞ![+ #transformations. As examples, type. H 3 X^2 Y + 5 (XYX - 7)[ (AÈ}^2*B)^.5 / Aè! Aü!N& Type < to turn on expansion ofN #positive integer powers of sums and"P) !full distributÉ}ion of numerator orP "denominator factors over numerator"R' sums. Type > to turn off theseO #transformations. For eÊ}xample, typeR "@  <(X+Y)^2>!  <(X+Y)(X-Y)6 (X+Y)/(X-Y) + 5>@ A$"UU LExpressions can include the six radianË}trig functions SIN, COS, TAN, COT, SEC."UU Land CSC, along with their first three inverses ASN, ACS and ACT. ExpressionsÌ}8"UU Lcan also contain the natural log and exponential functions, spelled LOG andB"RR JEXP. Parentheses can be omitted Í}from around arguments that are constants,L"SS Kvariables, functional forms, or their negatives. Automatic transformationsÎ}V"aP Hexploit symmetry, inversion, logs of powers, and numeric arguments. Asa  Examples tryZ"E  > COS -X!  EXP LÏ}OG X/  LOG (X^2); 4 ATN 1E A\"RR JWhen ALGEBRAIC expansion is turned on via <, logs of products or quotients^"Ð}SS Kare rephrased as sums or differences of logs, and other trig functions are`"RR Jreplaced by sines and cosines. TypinÑ}g[ turns on HARMONIC expansion, whichb"PP Htransforms positive integer powers andproducts of sines and cosines intod"S* "Ò}'linear combinations' of sines andS $cosines of multiple angles and anglef"ZW Osums or differences. Typing ] turns off Ó}harmonic expansion. As examples, tryZ h"W  < LOG (XY/Z)$  TAN X CSC X6  [ SIN X COS YM SINX^2 + COSX^2 ]>W AÔ}j"> An entry of the form ;  variable = expression> l"N) !causes the resulting value of theN  expression to bÕ}e ASSIGNED to then"S& variable for use in subsequentP %expressions. For example, try typingS p"4  P = 5(X+Y+Z)* Ö}P + 1/P + X LOG P4 Ar"ll dFollow an assignment with a semicolon to suppress display of an assigned value. For ex×}ample, tryt"%  P = S+1; P^3% Av"RR JSeveral assignments can precede an assignment or expression in a siØ}nglex"]: 2entry, separated by semicolons. For example, try= S P=R+1; Q=L+P; Q^2] Az"QQ ITo prevent a name frÙ}om contributing its value to an expression, precede|"Q(  the name by an apostrophe. ThisQ $provides a way of clearing Ú}the value~"L: 2of a variable back to its name. For example, try= L  P=L+5; P^2€"  P='P; P^2 A‚"< If weÛ} enter the line 9 H='H; P=H+1; H=2; P^2< „"PP Hthen H becomes 2 after P becomes H+1, so the displayed result is (H+1)Ü}^2†"UU Lrather than 9. However, we can followthe expression P^2 with the operator @ˆ"OL Dto RE-EVALUATE P^2 so that H tÝ}herein is updated to its new value 2:O Š"d H='H; P=H+1; H=2; P^2 @" d =@ has the same precedence and left-to-right oÞ}rder as additionŒ" AŽ"MM ETo determine the partial derivative ofan expression with respect to a"T2 *variable, eß}nter an expression of the form5 Q  expression % variableT ’"L(  % is named to suggest a ratio ofL infinitesimals.à} % has the same”"LI Aprecedence and left-to-right order as addition. As examples, tryL –"C% X='X; A='A; AX^3 + SIN Xá} % X9 A^2 X^3 % X % AC Aœ"UU LTo determine an antiderivative of an expression with respect to a variable,ž"I' â}enter an expression of the form* F  expression $ variableI  "R) !$ is named to suggest an integralR $sign. $ hasã} the same precedence and¢"PP Hleft-to-right order as addition. 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