Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3.

Given f(t) = 282 - 53 +1, determine the function value f(2). do not include f(z) = in your answer

Select all the expressions that will include a remainder.

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.