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1. For the function f(x) = x# determine an approximation for the slope of the tangent to the curve at the point where a= 0.5. Use +1 1.", and h = 0.1. Show all your steps. 2. For the function f(x) = - find an expression for the slope of a tangent at any using lim (ath)-/(@) Simplify the expression. This is a function for slope of the function. Then evaluate this expression by substituting a = 1. Note : What you are doing here is finding the value of the slope of the tangent of f(x)= 1/x2 at the point x = 1. 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(t) = -4.912 + 30t. Find the instantaneous rate of change (the velocity function) at any time using lim /(ath)-f(@) h Determine the instantaneous rate of change (ie. the velocity) at: a) t= 2 b) t =5