Hp 48g Graphing Calculator Manual de usuario descargar pdf (Pagina 258)

100

101

A subexpression consists of a function and its arguments. The

function that defines a subexpression is called the top-level function

for that subexpression—it’s the function that’s executed last. For

example, in the expression ' fl+B*C---''D ’ , the top level function for the

subexpression ' B*C ’ is *, the top-level function for ’ E*C.■ ■ ■ ■ [; ’ is .■ ■ ■ ,

and the top level function for ‘ fl+B*C.‘ is +.

To collect like terms in an algebraic:

Enter the expression onto the stack and press f^(SYMBOLIC)

COLCT. COLCT simplifies an algebraic by doing the following:

□ Evaluates numerical subexpressions. For example,

’ i+2+LOG<10) ' COLCT returns 4.

□ Collects numerical terms. For example, fo.+K+2L COL CT returns

D Orders factors (arguments of +) and combines like factors. For

example, LK'’CL'LTtiLL-'''-T*Y ’ COLJjT returns foi’''''':;T+7)#Y'''''2 '.

D Orders summands (arguments of + or —) and combines like

terms differing only in a coefficient. For example, ' >Li-X+Y+:3*Y '

returns ' 5*Y+Y ‘.

COLCT operates separately on the two sides of an equation, so like

terms on the opposite sides of the equation are not combined.

To expand products and powers in an algebraic:

Enter the expression onto the stack and press (»^fSYIVIBOLIC)

EYF'Fl . EXPAN rewrites an algebraic by doing the following:

□ Distributes multiplication and division over addition. For

example, : B-HC: Exp

returns *E-

□ Expands powers over sums. For example. ) EXF

returns

Expands positive power integers. For example.

!E X F-' Ff returns

, and

returns

EXPAN doesn’t carry out all possible expansions of an algebraic

in a single execution. Instead, EXPAN works clown through the

subexpression hierarchy, stopping in each brancli of the hierarchy

when it finds a subexpression that it can expand. It first examines

the top-level subexpression (the top level subexpression is the

algebraic itself). If it’s suitable for expansion, EXPAN expands

it and stops—otherwise, EXPAN examines all of the second-level

20-18 Calculus and Symbolic Manipulation

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