HP 39g Master Manual page 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
Appendix B: Teaching Calculus with an hp 39g+ .................................. 301
=
y x
Investigating
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
2
test ........................................................................... 299
n
for n an integer .......................................................................... 301
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