MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
Let h be continuous, increasing on [0,2], and decreasing on [2,5]. The interval [0,5] is partitioned at x=0,1,2,3,4,5 (five subintervals of width 1). For each subinterval, indicate whether the rectangle in a left Riemann sum overestimates (O) or underestimates (U) the area on that subinterval. Give your answer as a sequence of five letters from left to right and justify your conclusion in one–two sentences.