1 a. (10 pts) Sketch the graph y = x2 over the interval [-1, 1) twice. Let R denot region bound by this graph and the interval [-1, 1] on the r-axis. Use your first sketch to illustrate how R is approximated when we use a midpoint Riemann sum with three subintervals. Use the second sketch to illustrate how R is approximated when we use the trapezoid rule sum with three subintervals. Label each graph with a detailed caption. 1 b. (10 pts) Compute the midpoint Riemann sum and trapezoid rule sum that you illustrated in 1 a. Let AM denote the value of the midpoint Riemann sum and Ar denote the value of the trapezoid rule sum. 1920, EN 2 I c. (5 pts) Fill in the blank: The midpoint Riemann sum and trapezoid rule sum computed in 1 b. approximate as MAXI OSel .JiboTo 9vigor of How bolisJab words Jaun JOY .noisesup does Towent 1 d. i) (5 pt) Compute an upper bound on the absolute value of the error between AM and the value it approximates, (1 , 1=] Leviomni ordi Tovo e = u qerg ofla dstole (21 01) 6 saidt illiw mure neemoil inioqbim's san ow nodw bolemixonqqs ai A woll stoyaulli gilt san ow andw bodamixonqes el Al wod sistaulli of dosede bnoose oil on elevTomidin nopages bolistob s daw ifgang ross lodad .levissaidne bonds Haw que ofIT biosagent ii) (5 pt) Compute an upper bound on the absolute value of the error between Ar and the value it approximates. 1 e. (10 pts) Compute the exact area of region R. I sainz sher biosogent bas mue musmois Inioqbim add onqmo? (21q of) d