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- Kim throws a ball against a wall at timet = 0. At time t = 1, it hits the wall and then at time t = 2 it is back where it started. If the average speed of the ball is 10 miles per hour, can you apply the MVT to show that the baseball must be traveling at 10 miles/hr at some point between [0,2]?Please helpFind the general solution to the differential system: ས་ 1) dt (G) (19) (G)
- This is a practice question from my Differential Equations course: Show directly that the given functions are linearly dependent on the real line. That is, find a non-trivial linear combination of the given functions that vanishes identically. f(x)=17, g(x)=2sin^2 (x), h(x)=3cos^2 (x) Thank you.Use the separation of variables to find the general solution tody/dt = (3t + 2)*y^(4)Be sure to account for any missing solutions.Suppose L is a polynomial differential operator of order 2 and L(te^(3t)) = 5e^(3t), L(e^(3t)) = 0, andL(e^(−2t)) = 0. Use this informaiton to find other solutions to L(y) = 5e^(3t).