Solve the following questions using the material covered during the lectures. You may also use videos and notes. Your solutions should be fully justied. Solutions will be graded for correctness and quality of explanations. Note: Keep proper limit notation throughout your limit calculations, otherwise, you may lose seine points. 1. Evaluate the following using the limit denition of derivative of a function (a) n... W 114m h (b) Suppose the position of a particle in meters at time t seconds is given by s (t) = t2 + 2t. Find the velocity of the particle at t = 4 sec using the limit denition of derivative of a function. (No credit will be given if you use derivative rules directly.)