1. [-/5 Points] DETAILS TANAPCALC10 6.3.003. Let f(x) = 4x. (a) Sketch the region R under the graph of f on the interval [0, 2]. 00 00 00 6/ 6 6 4 4 4 4 2 2 2 LL X HI X X 2 3 4 5 6 7 1 2 3 4 5 6 7 0 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 Find its exact area using geometry. square units (b) Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. square units (c) Repeat part (b) with eight subintervals of equal length (n = 8). square units (d) Compare the approximations obtained in parts (b) and (c) with the exact area found in part (a). Do the approximations improve with larger n? O Yes O No2. [I1 Points] TANAPCALC1O 6.3.013.Ml. Find an approximation of the area of the region R under the graph of the function fan the interval [0, 2]. Use n = 5 subintervals. Choose the representative points to he the midpoints of the subintervels. f(x)=x2+6 E 5...... u... Need Help? 3. [-I1 Points] TANAPCALC10 6.3.014. Find an approximation of the area of the region R under the graph of the function fon the interval [1, 2]. Use 11 = 6 subintervals. Choose the representative points to be the left endpoints of the subintervals. f()()=7x2 E square unil: Need Help? 4. [I1 Points] DETAILS TANAPCALC1D 6.3.015. Find an approximation of the area of the region R under the graph of the function fun the interval [1, 3]. Use n = 4 subintervals. Choose the representative points to be the right endpoinl: of the subintervals. 7 f(X) = 7 X E sq\"... u... 5. [-/1 Points] DETAILS TANAPCALC10 6.3.016. MY NOTES PRACTI Find an approximation of the area of the region R under the graph of the function f on the interval [0, 3]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. (Round your answer to one decimal place.) f(x) = 4ex square units Need Help? Read It Watch It 6. [-/1 Points] DETAILS WANEFMAC7 13.3.009. MY NOTES PRACTIC Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) f(x) = 4e-* over [0, 10], n = 5 Need Help? Read It 7. [-/1 Points] DETAILS WANEFMAC7 13.3.012. MY NOTES PRACTIC Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions. (Round your answer to the nearest integer.) [0, 16], n = 4 25 15 5 10 14