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**i_zz_y_ill** Given y=1/13(3sint-2cost)+e^-3t(2cost+3sint)

Q describe behaviour of y for large values of t. Sketch with range.

The amplitube is in actual fact 1/(13)^0.5

So on the graph its between -1/(13)^0.5 and 1/(13)^0.5

How can this be when the max andmin value is clearly going to be 1/13 do you think this is a typo?

I think it has something to do with the technique givenx = A sinwt=Bcoswt you can wright it as

x=(A^2+B^2)^0.5(A/<(sinwt) + B/<(cowt)) < indicates the (A^2+B^2)^0.5

But im afraid i cant see the direct relation between this straight off tchnique and the rsin(w+/-x) method or rcos(w+/-x) method is it the same thing? I dont think this is the factor formulae either!

Oh its ok i got it