Riemann sum & excel Approximate the area of the region bounded by the graph of f defined by f(x) = 100 −x^2 and the x-axis on [0, 10] with 20 subintervals, using the midpoint Riemann sum. Use Microsoft Excel to calculate the midpoint Riemann sum. As attached, is that correct? Can I make a riemann sum graph on excel?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Riemann sum & excel

Approximate the area of the region bounded by the graph of f defined by f(x) = 100 −x^2 and the x-axis on [0, 10] with 20 subintervals, using the midpoint Riemann sum. Use Microsoft Excel to calculate the midpoint Riemann sum.

As attached, is that correct? Can I make a riemann sum graph on excel?

a
b
dx
ith
xi
f(xi)
A
10
20
0.5
1
0.25
99.9375 49.96875
2
0.75 99.4375 49.71875
Total area
3
1.25
98.4375 49.21875
666.875
4
1.75
96.9375 48.46875
5
2.25 94.9375 47.46875
2.75
92.4375 46.21875
7
3.25
89.4375 44.71875
8
3.75
85.9375 42.96875
9
4.25
81.9375 40.96875
10
4.75
77.4375 38.71875
11
5.25
72.4375 36.21875
12
5.75
66.9375 33.46875
13
6.25
60.9375 30.46875
14
6.75
54.4375 27.21875
15
7.25
47.4375 23.71875
16
7.75
39.9375 19.96875
17
8.25
31.9375 15.96875
18
8.75
23.4375 11.71875
19
9.25
14.4375
7.21875
20
9.75
4.9375
2.46875
LO
Transcribed Image Text:a b dx ith xi f(xi) A 10 20 0.5 1 0.25 99.9375 49.96875 2 0.75 99.4375 49.71875 Total area 3 1.25 98.4375 49.21875 666.875 4 1.75 96.9375 48.46875 5 2.25 94.9375 47.46875 2.75 92.4375 46.21875 7 3.25 89.4375 44.71875 8 3.75 85.9375 42.96875 9 4.25 81.9375 40.96875 10 4.75 77.4375 38.71875 11 5.25 72.4375 36.21875 12 5.75 66.9375 33.46875 13 6.25 60.9375 30.46875 14 6.75 54.4375 27.21875 15 7.25 47.4375 23.71875 16 7.75 39.9375 19.96875 17 8.25 31.9375 15.96875 18 8.75 23.4375 11.71875 19 9.25 14.4375 7.21875 20 9.75 4.9375 2.46875 LO
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