Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (5,2), (-5,-9), and (-5,7), respectively. The epicenter of an earthquake is determined to be 5 units from X, units from Y, and 10 units from Z. Where on the coordinate plane is the epicenter located? Find the coordinates of the epicenter.

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.