2007-10-26 02:51:17 · 2 answers · asked by Ciavana 3 in Science & Mathematics ➔ Mathematics
What constitutes "appropriate solutions" depends on the details of your assignment.
On the other hand, if you want "approximate solutions"....
Since you specifically refer to "graphing" calculator, I'll assume your teacher wants you to use a method that involves looking at graphs. So plot y1= cosx and
y2= 4x^2 on the same window, then zoom in on the intersection point and trace along the graph to get rough coordinates of that point.
2007-10-26 03:00:04 · answer #1 · answered by Michael M 7 · 0⤊ 0⤋
Taylor series: cosx = 1 - x^2/2 + .....
so ignoring higher than 2nd order terms, 1 - x^2/2 = 4x^2
so, 9(x^2)/2 = 1
so, x = +- sqrt(2/9) = +- sqrt(2)/3
What they are probably asking for is to graph each of these on your calculator (first graph cos(x), then graph 4x^2), then find their point of intersection
2007-10-26 02:57:23 · answer #2 · answered by tsunamijon 4 · 0⤊ 0⤋