In Problems 45 and 46 use Problem 51 in Exercises 1.1 and (2) and (3) of this section....

In Problems 45 and 46 use Problem 51 in Exercises 1.1 and (2) and (3) of this section.

Find a function y = f (x) whose second derivative is at each point (x, y) on its graph and y=-x +5 is tangent to the graph at the point corresponding to x = 1.

(reference problem 51 in exercise 1.1)