An object moving along a curve in the xy-plane has position (x(t), y(t)) at time t with dx/dt = cos(t^3) and dy/dt 3sin(t^2) for 0<= t<= 3. At time t=2, the object is at position (4,5).
a. Write an equation for the line tangent to the curve at (4,5).
b. Find the speed of the object at time...