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9. [11 Points] DETAILS LARCALC11 12.5.049. Consider the following. y = (X 3)2 + 2 (a) Find the point on the curve at which the curvature K is a maximum. n = (S ) (b) Find the limit of the curvature K as X > 00. X>OO Need Help? 10. [I1 Points] DETAILS LARCALC11 12.5.057.Ml. Find all points on the graph of the function such that the curvature is zero. (Let 0 s x S 71') x = 5 cos(_) y 2 m=(S) Need Help? ASK YOUR TEACHER 11. [-/1 Points] LARCALC11 12.5.065. A sphere of radius 4 is dropped into the paraboloid given by z = x2 + yz. (a) How close will the sphere come to the vertex of the paraboloid? (Round your answer to two decimal places) S (b) What is the radius of the largest sphere that will touch the vertex? Z Need Help? ASK YOUR TEACHER PRACTICE ANOTHER A SZOO-pound vehicle is driven at a speed of 35 miles per hour on a circular interchange of radius 100 feet. To keep the vehicle from skidding off course, what frictional force must the road surface exert on the tires? (Round your answer to 12. [-I1 Points] LARCALC11 12.5.079. one decimal place.) lb Need Help