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**i_zz_y_ill** 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!!!!