HP 40gs User Manual

Page 212

Advertising
background image

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 1:03 AM

Advertising
This manual is related to the following products: