500 1200 ft
A helicopter hovers 1200 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 50°. How far off
the coast, to the nearest foot, is
the island?
P
d
d =
(Round the answer to the nearest whole number.)

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.