{1 point) At what t value does each linear Bernstein polynomial achieve its maximum on the interval [0, 1]? Answer: 1 t achieves its maximum at Answer: f achieves its maximum at At what t value does each quadratic Bernstein polynomial achieve its maximum on the interval [I], 1]? Answer: (1 tjz achieves its maximum at Answer: 2t(1 t) achieves its maximum at Answer: f2 achieves its maximum at At what t value does each cubic Bernstein polynomial achieve its maximum on the interval [I], 1]? Answer: (1 t)3 achieves its maximum at Answer: 3t(1 Q2 achieves its maximum at Answer: 3t2(1 t) achieves its maximum at Answer: is achieves its maximum at Based on the answers you gave above, make a conjecture about the general pattern for where the maxima will exist for Bernstein polynomials of any degree