. The following symbols represent constants: k, a), Va. 1] Check if the following force is conservative: (3 points) F = k(zy2i+ zxzj +xyzk) 2] If the potential energy of a particle is 1/0 2 Vmea= s COS() obtain the force acting on the particle in cylindrical coordinates (3 points). 3] A particle is following a trajectory given by: r(t) = kt 00) = not $0) = sin(cot) Obtain: a) The velocity of the particle :30) in spherical coordinates (3 points). b) The acceleration of the particle 5(1) in spherical coordinates (1 point}. Hints: Feel free to use the velocity and acceleration equations given in class. Your answers should only depend on time, constants and unit vectors