Prof. S. Brick Math 120
Fall โ02 Applied Calculus; Quiz 11 section 52
0. Print your name:
1. Consider the sum
๎1
1+(.1)2๎ยท๎1
100๎+๎1
1+(.2)2๎ยท๎1
100๎+๎1
1+(.3)2๎ยท๎1
100๎+. . .+๎1
1+12๎ยท๎1
100๎
Give an integral expression that approximates this sum.
2. Using the right-hand rule with 6 evenly-spaced rectangles set up (but do not compute)
the Riemann sum for R4
1โx dx. Sketch a graph. showing the rectangles.
3. Suppose R9
3h(x)dx = 0. What can you conclude about h(x) ?