Consider the function f : R→ R defined as follows. f(x) = = sin(2x+1)+5 if x > 2, 3 cos(2πx²)+3 if x 2. (a) Is f continuous everywhere? Justify your answer. = (b) Consider the partition P {0, 1, 2, 3} of the interval [0,3]. Calculate the lower Riemann sum L(f, P) and the upper Riemann sum U(ƒ, P). (c) Is the function of differentiable everywhere? Justify your answer briefly. (d) Does f have a maximum and/or minimum? If yes, what are they? Justify your answer.