Please answer the following in full:

1. For the function f(x) = x4 ind an approximation for the slope of a tangent at the point x = 0.5 using f(ath) - f(a) , and h = 0.1. Show all your steps. 2. For the function f(x) = - 1 find an expression for the slope of a tangent at the point where a = 1 using X lin f(ath)-(@). Simplify the expression first before substitution. h 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