TI-89 calculator example

Here is one of the first examples I tried, taken from the 1981 high school sample exams. Consider the function f given by x -> x^2 / (x |x| + 1).

On the TI-89, it is best to enter functions in the Y= window for easy reference later. The calculator also features pretty printing of the function after entering the raw definition, as shown below using the y1 slot.


Now, the graph feature plots the function, nicely accounting for the asymptotes.


One of the questions was to solve f(x) < 1/2 x. On the TI-89, this can be done with the solve function on the just entered y1 function. The solution is given on one line, so a bit of scrolling is required, but it is correct.



Another question was to compute the area under the function on the interval [0,1]. This is easily done with the integral function, as shown below.


Pretty neat, right?

Comments

Anonymous said…
Aart sorry for asking this here, but for a month
now i am searching for a solution for it. How
can we setup sjeng to play losers on CFA?
Aart Bik said…
Chess for Android only supports classical chess, not losers. If an engine has an ini file that allows you to setup different styles (within the valid chess rules), you can install those just as an engine to put them "side by side" with the engine.

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