Finding symbolic solutions to equations, Finding symbolic solutions to equations -14, 20 finding symbolic solutions to equations – HP 48g Graphing Calculator User Manual
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7. Press OK to derive the Taylor’s polynomial approximation for
the translated point.
8. Press fWl O
S)(PUR^ to purge the K variable.
9. Enter
'
';■ ■ ■ ,-a
'
onto the stack and press
QJ (STO)
to store it in
V. (If you used a different dummy variable name, use it in place of
V here.)
10. Press [EVAL) to change the variable back to the original K. You
may also wish to press fi^fSYMBOLIC) COLCT to simplify the
results.
20
Finding Symbolic Solutions to Equations
A common goal of algebraic manipulation of an expression or equation
is to “solve for” a variable symbolically—that is, to express one
variable in terms of the other variables and numbers in the expression
or equation. You can solve symbolically using these commands:
m
ISOI. Solves for a variable that appears only once in any type of
expression or equation.
■ QUAD. Solves for a variable that appears in a quadratic expression
or equation.
Comparison of Commands for Symbolic Solutions
ISOL Command
QUAD Command
Variable appears only once.
Variable can be any order.
Variable can be the argument of a
nonlinear function (such as SIN).
Variable can appear several
times—no rearranging required.
Variable must not be higher than
second order for an exact
solution.
20-14 Calculus and Symbolic Manipulation