Math 181 CRN 34414 Name Assignment 5 Show all work! Due May 9, 2022 (or by email no later than May 13) 2. a) Again divide into four equal parts and sketch four approximationg rectangles on the graph using left- 10 points hand endpoints for the height. You may discuss the homework and even work together, but please do your own calculations so that you understand; do not just copy what someone else has done. b) Find the height of each AT) - 4x rectangle and write the A(x) = 4x heights on the graph. The area under the curve f(x)=4-x on the interval [ 1,2]: Give exact values; do not round any answers. 1. a) Divide the interval [1,2] into four equal parts and label the x-values of the endpoints of subintervals on the graph at right. b) Sketch four approximationg Ax)= 4x rectangles on the graph using right-hand endpoints for the c) Find the area of each rectangle and the total area of the four rectangles. height. c) Find the height of each rectangle and write the heights on the graph. d) Is this area an overestimate or underestimate of the actual area under the curve? 3. a) Using correct notation, write a definite integral that expresses the exact area under the curve. d) Find the area of each rectangle and the total area of the four rectangles. b) Evaluate the definite integral using the Fundamental Theorem of Calculus (Evaluation Theorem.) e) Is this area an overestimate or underestimate of the actual area under the curve? (please turn over)