Question 4 part a, b, c, and d

4. [-/40 Points] DETAILS SCALCET8 5.1.005. (a) Estimate the area under the graph of f(x) = 4 + 2x2 from x = -1 to x = 2 using three rectangles and right endpoints. R3 Then improve your estimate by using six rectangles. RE Sketch the curve and the approximationg rectangles for R3. y 12 12 10 10 8 8 X O-1 2 -1 1 2 12+ 10 10 8 O-1 2 O-1\f(b) Repeat part {3) using left endpoints. Sketch the curve and the approximating rectanglea for L3. Y 12 10 12 10 12 10 k \f(c) Repeat part (a) using midpoints. M3 = M6 = Sketch the curve and the approximationg rectangles for M3. y 12 12 10 10 8 O-1 2 O-1 N 12+ 121 10/ 10 8 8 6- O-1 2 O-1 2Sketch the curve and the approximationg rectangles for Me. y 12/ 12/ 10 10 8 O-1 -0.5 0.5 1 1.5 2 O-1 -0.5 X 0.5 1 1.5 2 4 12 12 10/ 10 8 6- O-1 -0.5 0.5 1.5 2 O-1 -0.5 0.5 1 1.5 2 (d) From your sketches in parts (a)-(c), which appears to be the best estimate? O RE OLE O ME