Use de moivre's theorem to write the complex number in trigonometric form: (cos(3pi/12) + i sin (3pi/12))^5
a) cos(15 pi/12) + isin (15pi/12)
b) 5(cos(3 pi/12) + isin (3 pi/12)
c) cos (3pi/60) + isin (3pi/60)
d) cos (3pi/12)^5+i sin (3pi/12)^5

Which is equivalent to 10/12? options: 10/18 5/6 3/12 9/11

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.

Which two transformations are applied to pentagon abcde to create a'b'c'd'e'? (4 points) translated according to the rule (x, y) ? (x + 8, y + 2) and reflected across the x-axis translated according to the rule (x, y) ? (x + 2, y + 8) and reflected across the y-axis translated according to the rule (x, y) ? (x + 8, y + 2) and reflected across the y-axis translated according to the rule (x, y) ? (x + 2, y + 8) and reflected across the x-axis