This problem has two parts, part a and part b. read the proof, and then answer both parts. given: (a+b)2 prove (a+b)2=a2+2ab+b2. statements reasons 1. (a+b)2 given 2. (a+b)(a+b) rewrite the power as a product of the base. 3. _[blank ]_ distributive property 4. a2+ab+ab+b2 distributive property 5. a2+2ab+b2 combine like terms.

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.