Question

3. + -12 points CalcET8 5.2.007. A table of values of an increasing function f is shown. Use the table to find lower and upper estimates for 30 f(x) dx. J10 lower estimate upper estimate x 10 14 18 22 26 30 Need Help? Read It Watch It Talk to a Tutor Submit Answer Practice Another Version 4. 0/1 points Previous Answers SCalcET8 5.2.009. Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 80 sin(x) dx, n = 4 Need Help? Read It Watch It Talk to a Tutor 5. + -/2 points SCalcET8 5.2.019. Express the limit as a definite integral on the given interval. lim [2(x,*) 3 - 3x,"]Ax, [2, 8] n04 i = 1 Need Help? Read It Watch It Talk to a Tutor

Answer 1

3) Gives table a 10/14/18 / 22 / 26 / 30 fcus tio -51- 41 14 18. four table f(1) is do locirasiny fosclion as [10,30] -696) The loweo estimate is Left hand oole sum Port Upper estimate is Right hard Sule som - Coight end point Sun) let us take n=5, Da= bo-30-10 = 206 4 sub Now intervals coe Loui, le, 18] [18, 22] [22, 26, [26,30]. lower estimate = left the end point sur = su [1910] + f(14)+ +618)+ f(223+f267 =4610-5-4+1+4] lower estrove 3- → upper estimate = Right end point om -02( foudt f(x) + f(22)+f66)5460] =-46-5-4 +1+4+3] =4[4] opper estimate.-16 4) Given integral do sin dax at faula, say Then azo, b=80) flow=shus)

it we ose n=4 Then Da=bia_8000 Ovo = 20. $2=20 The partition is p={8, 20,40,69802 The subintervals are [0,20], [20,40], [40,60] [6085] The mopoints of these sub intervals are 10, 30, 50,90 let these mid points as 9–10,2=39, $=50, Cy=30 toen sich dla = self candy fast fu fecy)] =- 20CfCW+f6934 f50); fcoo) = 20 (sin(dot sinceo) - Son (15. JAS: (0507 = 16.762908 16-7629 e Answer is 16-7629 | rgo