2. For the function f(x) =- find an expression for the slope of a tangent at the point where a = 1 using lim h flath)-f(@) Simplify the expression first before substitution. 3. A science project studying catapults sent a projectile into the air with an initial velocity of 30 m/s. The formula for distance (s) in meters with respect to time in seconds is s = -4.9t2 + 30t. Find the instantaneous rate of change (and thus the velocity at any time) using lim f(ath) - f(a) h and then find the instantaneous rate of change at: a. t = 1 b. t = 3