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Need help with math The velocity vector of a particle moving in the plane has components given by: dx/dt = 14cos(t^2)sin(e^t) and dy/dt = 1 + 2sin(t^2), for 0<=t<=1.5. At time t = 0, the position of the particle is (-2,3) now find: (a) For 0<t<1.5, find all values of t at which the line tangent to the path of the particle is vertical (b) Write an equation for the line tangent to the path of the particle at t = 1. (c) Find the speed of the particle at t = 1. (d) Find the acceleration vector of the particle at t = 1. i got (a) down but I don't know how to do b~d, please help, thanks in advanced!