00:01
I in the first part of the question we have to find a bounded sequence.
00:04
So here we are given with a value.
00:07
So this is the graph given.
00:10
So here we have so we are given with this graph.
00:19
So now this will be the direction of the graph.
00:22
So here we can see that e power t into so cos omega t is equal to f of t.
00:30
So this is a non -bounded function.
00:35
Then again we have so e power t.
00:40
So for the second case we have this is so again we have this graph.
00:51
So this is a graph.
00:53
So which is e power t into sin omega of minus t.
00:59
So this is again a non -bounded graph.
01:04
Then then we have option c.
01:08
So it is given by e power minus t into cos omega t.
01:12
So here we have the curve is given by.
01:15
So this is the curve.
01:19
So this will be the curve for this function.
01:23
So it is a bounded sequence or bounded function.
01:28
Then for part d we have e power t into cos of minus omega t.
01:33
So this is a so the curve is given by.
01:37
So this will be the curve.
01:41
So it goes on increasing.
01:44
So this is the again a non -bounded function.
01:48
So this is non -bounded.
01:50
Then for the second answer we have x of t is given as that so sin of 36 pi t plus 78 degree.
02:05
So we have to find out time period t.
02:07
So we have omega is given as 36 pi.
02:12
So 36 pi f will be equal to 2 pi.
02:15
So omega is nothing but it is 2 pi f...