physics

a force of a baseball swing. a baseball ha mass 0.145 kg

a. if the velocity of a pitched ball has a magnitude of 45.0 m/s and the batted ball's velocity is 55 m/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bait.

b. if the ball remains in contact with the bat for 2 m/s, find the magnitude of the average force applied by bat.

differential equation: Show that if f and f' are continuous on a ≤ x ≤ b then f and f' are linearly independent on a ≤ x ≤ b

Show that if f and f' are continuous on a ≤ x ≤ b and f(x) is not zero for all x on a ≤ x ≤ b,
then f and xf are linearly independent on a ≤ x ≤ b.

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