(All needs help)

The position function of a particle moving horizontally along the x-axis is given by x(t) = sin(3t 2m) + t. Find the initial velocity of the particle. The function g(x) is continuous on the closed interval [e, 7] and differentiable on the open interval (e, ), If x = 3 is where the slope of the tangent line is the same as the slope of the secant line from x =etox =mu, andif g9'(3) =2,g(e) = 2n,find g(m). The rate at which oil leaks out of a ruptured tanker is modeled by the 2 equation R(t) = for time 0