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A dog sees a rabbit running in a straight line across an open field and gives chase. In a rectangular coordinate system (as shown in the figure), assume:
(i) The rabbit is at the origin and the dog is at the point (L, 0) at the instant the dog first sees the rabbit.
(ii) The rabbit runs up the -axis and the dog always runs straight for the rabbit.
(iii) The dog runs at the same speed as the rabbit.
(a) Show that the dog's path is the graph of the function y = f(x), where satisfies the differential equation(b) Determine the solution of the equation in part (a) that satisfies the initial conditions y = y' = 0 when x = L.
(c) Does the dog ever catch the rabbit?
If A is an invertible matrix and n is a non negative integer then: please make the proof very detailed and show every step
Exponentials depending on the random variable
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I know how to do part 1 and 2 , but then i dont know how to do part 3. Can you please help. Here is the problem
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Rewrite the following series in summation notation in #s 11 & 12.
assume you have a graph of a function which has no breaks or gaps and is decreasing on the interval c d and increasing
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