1. (Section 5.1) Let f(x) . In this problem, we'll numerically estimate the area under the graph of f on [-2, 1] three different ways. (a) First, graph f on [-2,1] in Mathematica, and draw th...
1. (Section 5.1) Let f(x) . In this problem, we'll numerically estimate the area under the graph of f on [-2, 1] three different ways. (a) First, graph f on [-2,1] in Mathematica, and draw three neat copies of it on your paper for parts (b), (c), and (d). (b) Compute Rs. Show your work by drawing the rectangles you use on the graph of f. Based on your graph, is this a clear overestimate, a clear underestimate, or is it too hard to tell? (c) Compute Le. Show your work by drawing the rectangles you use on the graph of f. Based on your graph, is this a clear overestimate, a clear underestimate, or is it too hard to tell? (d) Compute Me. Show your work by drawing the rectangles you use on the graph of f. Based on your graph, is this a clear overestimate, a clear underestimate, or is it too hard to tell? (e) Use Mathematica's Integratel command to computę the exact value of the integral. Then determine if your numerical values for Re, L6, and Ms are over or under-estimates
1. (Section 5.1) Let f(x) . In this problem, we'll numerically estimate the area under the graph of f on [-2, 1] three different ways. (a) First, graph f on [-2,1] in Mathematica, and draw three neat copies of it on your paper for parts (b), (c), and (d). (b) Compute Rs. Show your work by drawing the rectangles you use on the graph of f. Based on your graph, is this a clear overestimate, a clear underestimate, or is it too hard to tell? (c) Compute Le. Show your work by drawing the rectangles you use on the graph of f. Based on your graph, is this a clear overestimate, a clear underestimate, or is it too hard to tell? (d) Compute Me. Show your work by drawing the rectangles you use on the graph of f. Based on your graph, is this a clear overestimate, a clear underestimate, or is it too hard to tell? (e) Use Mathematica's Integratel command to computę the exact value of the integral. Then determine if your numerical values for Re, L6, and Ms are over or under-estimates