1. The problem statement, all variables and given/known data Given: Let d be the distance function of a point on a parabola y=9+3x-x^2 and point (5,11) Questions: a) express f(x) = d^2 in terms of x b) show that there is only one critical point of f c) approximate the critical point by newton's method with the initial guess x sub zero = 2.5 (accurate to 3 decimal places). Is this a local maximum, local minimum or neither? d) find the furthest and the closest pings on the parabola to the ping (5,11) where 0 <= x <= 5 2. Relevant equations 3. The attempt at a solution i get a,b,and part of c. but im stuck in part c where they ask me if the point is a local maximum,minimum,or neither. part c what i did/need help) i did newtons method with x sub n -f'(x)/f''(x) and got that the zero is about 2.635999161. and im confused on how to find if it is a max,min, or neither. part d what i need did/ need help) i am totally stuck on this one i have no clue where to start it. i drew a few pictures and tried a few thing but it always got me to a dead end. could you help me on this too. Thanks Before hand.