l} The point P (16, 9) lies on the curve 1? = v\"? + 5. IFQ is the point (Luisc + 5}, find the slope oFthe secant line PG for the following values of x. (a) If x = 16.1, nd the slope of PG. (b) If x = 15.91, fuid the slope of Pt}. (c) If x = 15.9, nd the slope of PG. {d} If x = 15.99, mm the slope of PG. (e) Based on the above results, guess the slope of the tangent line to the curve at P {16, 9]. 2) Find the derivatives of the following uictions. DC! NUT give decimal approximations. (a) fix) = x11 {b} 90:) = -3x\" (c) mix) = i. I {d} If L(x) = 33, nd L'(5) (e) K(x) = if; 3} Suppose that the position of a particle is given by s = t) = 3:3 + 4t. + 9, where t is time in seconds. The position is given in meters. (a) Find the position [in m} at 3 seconds. (b) Find the velocity {in mi's) at time t. (c) Find the velocity {in mi's) at 3 seconds. (d) Find the acceleration {in mfsz} at time t. (c) Find the acceleration {in nusz} at 3 seconds