I) The point P (4,25) lies on the curve y = x2 + x +5. IfQisthepoint (x,x2+x+ 5), find the slope of the secant line PQ for the following values of x. (a) If x 4.1, find the slope ofPQ_ (b) If x = 4.01, find the slope of PQ (c) If x = 3.9, find the slope ofPQ_ (d) If x = 3.99, find the slope of PQ (e) Based on the abwe results, guess the slope of the tangent line to the curve at 2) A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 39 tvs. Its height in feet after t is given by y - 39t (a) Find the average velocity for the period beginning from t = 3 seconds to t 3.01 seconds _ (b) Find the average velocity for the period beginning from t = 3 seconds to t z 3.005 seconds _ (c) Find the average velocity for the period beginning from t = 3 seconds to t z 3.002 seconds _ (d) Find the average velocity for the period beginning from t = 3 seconds to t 3.001 seconds. (e) Estimate the instantaneous velocity when t = 3 seconds,