Question 2 (16 points, 19 minutes) (a) Given y(t) = 5 +sin 3t where t is in radians, find the average rate of change of

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Question 2 16 Points 19 Minutes A Given Y T 5 Sin 3t Where T Is In Radians Find The Average Rate Of Change Of 1 (35.13 KiB) Viewed 29 times

Question 2 (16 points, 19 minutes) (a) Given y(t) = 5 +sin 3t where t is in radians, find the average rate of change of y over the range of r from 1=0 to 1-3. (4 points) (b) Evaluate + xe*)dx. (4 points) (C) Find the particular solution of y" + 3y' - 4y = 0 given y(0) = 2, y' (O) = 0. (4 points) (d) Assume 1 (t) = 10 sin 3t and 1(O) = 5 cos 3t, express the function 13(t) = 0.34 () + 0.812(t) as a single sinusoidal function. Find the amplitude and phase of iz(). (4 points) A