33. (B)
On the curve of f (x) − ex − x^2 , the two points labeled are (0,1) and (1, e − 1).
The slope of the secant line is Find c in [0,1] such that, f ′(c) = e − 2, or
f ′(c) − (e − 2) = 0. Since f ′(x) = ex − 2x, c can be calculated by solving 0 = ex − 2x − (e −
2). The answer is 0.351.