The diameter of the larger circle is 12.5 cm. the diameter of the smaller circle is 3.5 cm.

what is the best approximation for the area of the shaded region?

use 3.14 to approximate pi.

28.26 cm²

113.04 cm²

132.27 cm²

254.34 cm²
small circle inside big circle, shaded region outside smaller circle and inside larger circle.

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.