The diagram shows a semicircle with centre O
and radius
2
and a semicircular arc with diameter
P
R
.

Angle
P
O
R
is a right angle.

What is the area of the shaded region?

Find the zero function by factoring (try to show work) h(x)=-x^2-6x-9

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.

Given: ab ≅ bc and ao ≅ oc ok − angle bisector of ∠boc find: m∠aok