Complete the following steps for the given function f and interval. a. For the given value of n, use sigma notation to write the left, right, and midpoint Riemann sums. Then evaluate each sum using a calculator. b. Based on the approximations found in part (a), estimate the area of the region bounded by the graph of f on the interval. f(x)=√√x for [0,10]; n = 40
Complete the following steps for the given function f and interval. a. For the given value of n, use sigma notation to write the left, right, and midpoint Riemann sums. Then evaluate each sum using a calculator. b. Based on the approximations found in part (a), estimate the area of the region bounded by the graph of f on the interval. f(x)=√√x for [0,10]; n = 40
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
M3.
![Complete the following steps for the given function f and interval.
a. For the given value of n, use sigma notation to write the left, right, and midpoint Riemann sums. Then evaluate each sum using a calculator.
b. Based on the approximations found in part (a), estimate the area of the region bounded by the graph of f on the interval.
f(x)=√x for [0,10]; n = 40
a. Write the left Riemann sum. Choose the correct answer below.
O A.
O B.
1
4
−4
1
40
Σ
k=1
40
k=1
40
1
Oc. 4 Σ
k=1
40
1
OD. Σ
k=1
4
4
k+1
40
2k-1
1 8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8a615f0-ca85-4dab-baf0-ae10e0067da3%2F6c35b9ea-82de-4424-88d5-b7e58f7124fd%2Fe17k6p_processed.png&w=3840&q=75)
Transcribed Image Text:Complete the following steps for the given function f and interval.
a. For the given value of n, use sigma notation to write the left, right, and midpoint Riemann sums. Then evaluate each sum using a calculator.
b. Based on the approximations found in part (a), estimate the area of the region bounded by the graph of f on the interval.
f(x)=√x for [0,10]; n = 40
a. Write the left Riemann sum. Choose the correct answer below.
O A.
O B.
1
4
−4
1
40
Σ
k=1
40
k=1
40
1
Oc. 4 Σ
k=1
40
1
OD. Σ
k=1
4
4
k+1
40
2k-1
1 8
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