Determine whether the following statements are true and give an explanation or counterexample.

a.

b. Assuming f' is continuous on the interval [a, b], the length of the curve y = f(x) on [a, b] is the area under the curve

c. Arc length may be negative if f(x) < 0 on part of the interval in question.

Transcribed Image Text:

|/ VI + f'(x)² dx (1 + f'(x)) dx. y = V1 + f'(xr)? on [a, b].