The distance s (in feet) covered by a maglev moving along a straight track t seconds...

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The distance s (in feet) covered by a maglev moving along a straight track t seconds starting from rest is given by the function s = f(t) = 3t² (0 ≤ t ≤ 10) You must include the units of measurement for each part. (b) Calculate the average velocity of the particle over the time intervals [6, 6.1]? -Select---- Calculate the (Instantaneous) velocity of the particle when t = 6? --Select--- Calculate the (instantaneous) acceleration of the particle when t -Select--- Submit Answer DETAILS (b) If f(3) = 1, f'(3) =-6. Find h'(3). (a) h(x) = (x² + 1)f(x) h' (3) = h(x) = x² + 1 h'(3) = h(x) = x² + (f(x))² h' (3) = 6. (Round your answers to three decimal places.) 12. DETAILS Find the slope and an equation of the tangent line to the graph of the function f at the specified point. +² x+ (1, 2) slope f(x) = equation Submit Answer (Give your answer in the slope-intercept form.) The distance s (in feet) covered by a maglev moving along a straight track t seconds starting from rest is given by the function s = f(t) = 3t² (0 ≤ t ≤ 10) You must include the units of measurement for each part. (b) Calculate the average velocity of the particle over the time intervals [6, 6.1]? -Select---- Calculate the (Instantaneous) velocity of the particle when t = 6? --Select--- Calculate the (instantaneous) acceleration of the particle when t -Select--- Submit Answer DETAILS (b) If f(3) = 1, f'(3) =-6. Find h'(3). (a) h(x) = (x² + 1)f(x) h' (3) = h(x) = x² + 1 h'(3) = h(x) = x² + (f(x))² h' (3) = 6. (Round your answers to three decimal places.) 12. DETAILS Find the slope and an equation of the tangent line to the graph of the function f at the specified point. +² x+ (1, 2) slope f(x) = equation Submit Answer (Give your answer in the slope-intercept form.)