FREE RESPONSE Use the table to answer the questions below. x 0 2 5 -10 -4 20 f'(x) 1 5 11 f"(x) 2 2 2 g(x) -7 -1 83 g'(x) 3 m 7 58 - 1²60 = 3 3. If B = f(x)-2g(x), then B'(0) = ? 1. Find the average rate of change of f over the interval 0 ≤ x ≤ 2. Find the value of x at which the instantaneous velocity of g is equal to the average rate of change of f over the interval 0 ≤x≤2. -4) 40/ 2-0 g"(x) 4 8 26 2. Write the equation of the line normal to g(x) at the point where x = 2. (1) = 3x=357. 9(²)=(-23 ( tan (2,-1) + (x - 2) = X ²= 3 < -1 3.1

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Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = 1 h, R = 100 , C = 0.0004 f, E(t) = 40 V, q(0) = 0 C, i(0) = 5 A q(t) = i(t) = C A Find the maximum charge on the capacitor. (Round your answer to four decimal places.) X C