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  3. suppose a dog is chasing a rabbit along the y-axis

Suppose a dog is chasing a rabbit along the y-axis, and the coordinate of the rabbit's...

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Advance Math

Suppose a dog is chasing a rabbit along the y-axis, and thecoordinate of the rabbit's position at time t is given by (1/3) t^2+4t. The dog's speed is equal to one half the distance between thetwo animals and the dog's coordinate at t=0 is y=-5.

a. Determine a differential equation for the position of thedog

b. Justify whether the dog will ever catch the rabbit?

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