The annual revenue and cost functions for a manufacturer of precision gauges are approximately r(x)=520x-0.02x^2 and c(x)=200x+100,000,where x denotes the number of gauges. what is the maximum annual profit?

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.

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.

Pleas ! i just cant seem to get it right! choose: congruent or proportional choose: cf or ce or bc choose: segment addition postulate or cpctc