User manual HP 40G GRAPHING CALCULATOR

[. . . ] HP 39G/40G GRAPHING CALCULATOR USER'S GUIDE Version 1. 1 Contents Preface Manual conventions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P-1 Notice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . It is also a powerful mathematics learning tool. The HP 39G/40G is designed so that you can use it to explore mathematical functions and their properties. [. . . ] Internally represented as 1 10 MINREAL Internally represented as 3. 14159265359. 499 . Hyperbolic trigonometry The hyperbolic trigonometry functions can also take complex numbers as arguments. ACOSH Inverse hyperbolic cosine : cosh1x. ACOSH(value) ASINH Inverse hyperbolic sine : sinh1x. ASINH(value) ATANH Inverse hyperbolic tangent : tanh1x. ATANH(value) COSH Hyperbolic cosine COSH(value) SINH Hyperbolic sine. SINH(value) TANH Hyperbolic tangent. TANH(value) Using mathematical functions 10-9 ALOG Antilogarithm (exponential). This is more accurate than 10^x due to limitations of the power function. ALOG(value) EXP Natural exponential. This is more accurate than e due to limitations of the power function. EXP(value) x EXPM1 Exponent minus 1 : ex1. This is more accurate than EXP when x is close to zero. EXPM1(value) LNP1 Natural log plus 1 : ln(x+1). This is more accurate than the natural logarithm function when x is close to zero. LNP1(value) List functions These functions work on list data. See "List functions" on page 13-7. 10-10 Using mathematical functions Loop functions The loop functions display a result after evaluating an expression a given number of times. ITERATE Repeatedly for #times evaluates an expression in terms of variable. The value for variable is updated each time, starting with initialvalue. ITERATE(expression, variable, initialvalue, #times) Example ITERATE(X2, X, 2, 3) returns 256 RECURSE Provides a method of defining a sequence without using the Symbolic view of the Sequence aplet. If used with | ("where"), RECURSE will step through the evaluation. RECURSE(sequencename, term-n, term1, term2) Example RECURSE(U, U(N-1)*N, 1, 2)TUPcU1(N) Stores a factorialcalculating function named U1. When you enter U1(5), for example, the function calculates 5!Finds the sum of expression with respect to variable from initialvalue to finalvalue. [. . . ] Prob. Available name (Continued) POLYCOEF POLYEVAL COMB !PERM RANDOM CEILING DEGRAD FLOOR FNROOT FRAC HMS HMS INT MANT MAX PREDX PREDY = ISOLATE LINEAR?< == > ACOT ACSC ASEC QUAD QUOTE | AND IFTE NOT OR XOR POLYFORM POLYROOT UTPC UTPF UTPN UTPT MIN MOD % %CHANGE %TOTAL RADDEG ROUND SIGN TRUNCATE XPON Real Stat-Two Symbolic Tests Trig COT CSC SEC R-16 Reference information Program constants The program constants are: Category Angle Available name Degrees Grads Radians Standard Fixed Cobweb Stairstep Linear LogFit ExpFit Power Stat1Var Stat2Var Hist BoxW QuadFit Cubic Logist User Sci Eng Fraction Format SeqPlot S1. . . 5fit StatMode StatPlot Reference information R-17 Program commands The program commands are: Category Aplet Command CHECK SELECT SETVIEWS UNCHECK IF THEN ELSE END ARC BOX ERASE FREEZE DISPLAYR RDISPLAY RGROB GROBNOT GROBOR GROBXOR FOR = TO STEP END DO ADDCOL ADDROW DELCOL DELROW EDITMAT RANDMAT PRDISPLAY PRHISTORY PRVAR BEEP CHOOSE DISP DISPTIME EDITMAT FREEZE DO1VSTATS RANDSEED DO2VSTATS SETDEPEND SETINDEP Reference information Branch CASE IFERR RUN STOP LINE PIXOFF PIXON TLINE MAKEGROB PLOTR RPLOT REPLACE SUB ZEROGROB UNTIL END WHILE REPEAT END BREAK REDIM REPLACE SCALE SCALEADD SUB SWAPCOL SWAPROW Drawing Graphic Loop Matrix Print Prompt GETKEY INPUT MSGBOX PROMPT WAIT SETFREQ SETSAMPLE Stat-One Stat-Two R-18 Selected status messages The status messages are: Message Bad Argument Type Bad Argument Value Infinite Result Insufficient Memory Meaning Incorrect input for this operation. The value is out of range for this operation. [. . . ]