part one: given y=0.5e^-t -0.2e^-2t +0.1sint -0.3cos t
and another curve
y=Ae^-t + Be^-2t + 0.1e^t(sint -cost) A B constants
How do you know that for large values of t that the first one is bounded and the second one is unbounded? And what does bounded mean?
part two: Given x = Ae^-0.04t +Be^-0.02t +1875
and y = -Ae^-0.04t + Be^-0.02t +625
How do you know that they grow exponentially like a normal exponential. I would have thought that they would be reflected in the y or x axis(corrosponding to each) one. And the y curve has a dip in it, how are you supposed to know that.
Tanswers to these questions would be greatly aprecciated I have an exam soon and this is quite hard. Thanks!!!!