hp40g+.book Page 28 Friday, December 9, 2005 1:03 AM

Typing:

⎛TAN(P ⋅ X) – SIN(P ⋅ X)⎞ TAYLOR0⎝----------------------------------⎠ TAN(Q ⋅ X) – SIN(Q ⋅ X)

gives:

P3

+

P5 – Q2 ⋅ P3

⋅ x

2

-----

----------------------------4 ⋅ Q3 -

 

Q3

 

 

 

N o t e ‘th-order’ means that the numerator and the denominator are expanded to the 4th relative order (here, the 5th absolute order for the numerator, and for the denominator, which is given in the end, the 2nd order (5− 3), seeing that the exponent of the denominator is 3).

TRUNC

Truncate at order n - 1

 

 

 

TRUNC enables you to truncate a polynomial at a given

 

order (used to perform limited expansions).

 

TRUNC has two arguments: a polynomial and Xn.

 

TRUNC returns the polynomial truncated at order n−1;

 

that is, the returned polynomial has no terms with

 

exponents ≥n.

 

 

 

Typing:

 

 

 

 

 

 

 

 

 

 

⎛⎛

1 ⋅

2⎞ 3

4⎞

 

TRUNC⎝⎝

1 + X + -

X ⎠

,X ⎠

 

 

 

 

 

 

2

 

 

 

gives:

 

 

 

 

 

 

 

 

4x

3

9

 

2

+ 3x + 1

 

 

 

 

+ --x

 

 

 

 

 

 

2

 

 

 

 

 

REWRI menu

 

The REWRI menu contains functions that enable you to

 

rewrite an expression in another form.

DISTRIB

Distributivity of multiplication

 

DISTRIB enables you to apply the distributivity of

 

multiplication in respect to addition in a single instance.

DISTRIB enables you, when you apply it several times, to carry out the distributivity step by step.

14-28

 

 

Computer Algebra System (CAS)