19)

A particle is moving with acceleration a(t) = 24t + 14. its position at time t = 0 is 3(0) 2 12 and its velocity at time t = 0 is v(0) = 11. What is its position at time t = 3? :1 n Express the limit lim (2 cos (27ra * ) + 8) Ax; over [5, 6] as an integral. n -+ 00 i=1 b Provide a, b and f(x ) in the expression f(x) dx. a a = b = f (ac ) =If 8 12 f(x)dx = f(x)dx + f(x)dx - f(x) dx, a 2 8 - 2 what are the bounds of integration for the first integral? Q = and b =Find the exact average value fave of f(a:) = 25 :32 between 0 and 5, then find an exact number c in [0,5] where f(c) = fave