HP 40gs - Page 212

14-30 Computer Algebra System (CAS)
Typing:
EXP2POW(EXP(N · LN(X)))
gives:
FDISTRIB Distributivity
FDISTRIB has an expression as argument.
FDISTRIB enables you to apply the distributivity of
multiplication with respect to addition all at once.
Typing:
FDISTRIB((X+1)·(X+2)·(X+3))
gives:
x·x·x + 3·x·x + x·2·x + 3·2·x + x·x·1 + 3·x·1 + x·2·1
+ 3·2·1
After simplification (by pressing ENTER):
x
3
+ 6·x
2
+ 11·x + 6
LIN Linearize the exponentials
LIN has as an argument an expression containing
exponentials and trigonometric functions. LIN does not
linearize trigonometric expressions (as does TLIN) but
converts a trigonometric expression to exponentials and
then linearizes the complex exponentials.
LIN puts the calculator into complex mode when dealing
with trigonometric functions.
Example 1
Typing:
LIN((EXP(X)+1)
3
)
gives:
3·exp(x) + 1 + 3·exp(2·x) + exp(3·x)
Example 2
Typing:
LIN(COS(X)
2
)
gives:
x
n
hp40g+.book Page 30 Friday, December 9, 2005 12:27 AM