Texas Instruments TI-86 - Manual (Page 266)

254
Chapter 19: Applications
19APPS.DOC TI-86, Chap 19, US English Bob Fedorisko Revised: 02/13/01 2:41 PM Printed: 02/13/01 3:05 PM Page 254 of 18 19APPS.DOC TI-86, Chap 19, US English Bob Fedorisko Revised: 02/13/01 2:41 PM Printed: 02/13/01 3:05 PM Page 254 of 18
¸ Support this conjecture by graphing y1 , y2 (to which Cp(x) is
stored), and Plot1 together.
¹ In the equation editor, enter the apparent characteristic
polynomial of matrix A and select ¼ (thick) graph style as shown.
¼ y3= L x^3+14x N 24
Ƹ Graph y1 , y2 , y3 , and Plot1 .
ƹ Deselect y2 in the equation editor.
ƺ Select TABLE from the TABLE menu to display y1 and y3 in the
table.
Compare the values for the characteristic polynomial.
Convergence of the Power Series
A closed-form analytic antiderivative of (sin x) àx does not exist. However, substituting t for
x, you can find an infinite series analytic solution by taking the series definition of sin t,
dividing each term of the series by t, and then integrating term by term to yield:
ˆ
G
L1 n+1 t 2n N1 à((2n N1)(2n N1)!)
n=1
Plot finite approximations of this power series solution on the TI -86 with sum and seq .