Hp 38g Graphing Calculator Manual do Utilizador descarregar pdf (Página 106)

The Root-

Finder at Work

You can watch the process of the root-finder calculating and

searching for a root. Immediately after pressing {{SOLVE}} to

start the root-finder, press any key except |on|. You will see

two intermediate guesses and, to the left, the sign of the

expression evaluated at each guess. For example:

- -.219330555745

3- -1.31111111149

You can watch as the root-finder either finds a sign reversal or

converges on a local minimum/maximum or does not

converge at all. If there is no convergence in process, you

might want to cancel the operation (press |ONj) and start

over with a different initial guess.

Plotting to Find Guesses

The Plot view and the Plot Setup work as they do for the

Function aplet. The main reason for plotting in the Solve aplet

is to help you find solutions for those equations that have

difficult-to-find or multiple solutions.

Example Consider the equation of motion for an accelerating body,

at^

X = D,t + —,

where x is distance, is initial velocity, t is time, and a is

acceleration. This is actually two equations, y = x and

y = vj+{ae)l2.

Since this equation is quadratic for f, there can be both a

positive and a negative solution. However, we are concerned

only with positive solutions, since only positive distance

makes sense.

4-8 Solve

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Hp 38g Graphing Calculator Manual do Utilizador Página 106