Find a point c satisfying the conclusion of the MVT for the given function and interval. y = sqrt x , [9, 49]

Answer 1

The slope of the secant line is (49-9)/(49-9) = 40/40 = 1

Basically any point in [9,49] will work as:

1 = (x-9)/(x-9) = (y-9)/(x-9) <--- since y=x

note that f'(x) = 1 for all x on the interval