HP 39G Master Guide

10
The ‘Polynomial’ group of functions...........................................................................277
POLYCOEF................................................................................................................277
POLYEVAL................................................................................................................. 277
POLYFORM ...............................................................................................................278
POLYROOT................................................................................................................279
The ‘Probability’ group of functions............................................................................280
COMB.........................................................................................................................280
The ! function.............................................................................................................. 280
PERM ......................................................................................................................... 281
RANDOM....................................................................................................................281
RANDSEED................................................................................................................281
UTPN..........................................................................................................................282
UTPC..........................................................................................................................283
UTPF .......................................................................................................................... 283
UTPT .......................................................................................................................... 283
Appendix A: Worked Examples...............................................................284
Finding the intercepts of a quadratic ..........................................................................284
Method 1 - Using the QUAD function in HOME. ............................................................284
Method 2 - Using the Function aplet. ......................................................................... 284
Method 3 - Using the POLYROOT function..................................................................285
Finding complex solutions to a complex equation....................................................285
Method 1 - Using the QUAD function......................................................................... 285
Method 2 - Using POLYROOT...................................................................................285
Finding critical points and graphing a polynomial....................................................286
Solving simultaneous equations. ................................................................................288
Method 1 - Graphing the lines....................................................................................288
Second method - using a matrix.................................................................................288
Third method - using the 3x3 Solver aplet ................................................................ 289
Expanding polynomials................................................................................................290
Exponential growth .......................................................................................................291
Solution of matrix equations........................................................................................293
Inconsistent systems of equations .............................................................................294
Using the RREF function............................................................................................294
Finding complex roots..................................................................................................295
Analyzing vector motion and collisions......................................................................296
Circular Motion and the Dot Product...........................................................................297
Inference testing using the Chi
2
test...........................................................................299
Appendix B: Teaching Calculus with an hp 39g+..................................301
Investigating
n
yx= for n an integer..........................................................................301
Domains and Composite Functions............................................................................302
Gradient at a Point.........................................................................................................303
Gradient Function..........................................................................................................304
The Chain Rule ..............................................................................................................305
Optimization...................................................................................................................305
Area Under Curves........................................................................................................306
Fields of Slopes and Curve Families...........................................................................306
Inequalities.....................................................................................................................307
Rectilinear Motion .........................................................................................................307
Limits..............................................................................................................................307
Piecewise Defined Functions.......................................................................................308
Sequences and Series ..................................................................................................308
Transformations of Graphs..........................................................................................309

HP 39G Specifications

General

Brand	HP
Model	39G
Category	Calculator
Language	English