The following table contains values of a function f(x, y) x = 1 x = 1.4 x = 1.8 8.01 x = 2.2 x = 2.6 5.4 10.2 6.7 4.5 9.42 7.5 6 5.3 4.98 8.7 7.1 5.81 5.7 5.6 7.23 6.85 5.4 5.35 5.23 6.5 4.4 3.8 3.7 3.9 x = 3 4.8 4.67 5.04 5.15 5.25 y = 0 y = 1 y = 2 y = 3 y = 4 (a) If R is the rectangle [1, 3] x [0, 2] write down a number that provides a good estimate of [[ f(x,y)dA via a Riemann sum S3,2, meaning that you use six rectangles that are three across in the x direction and 2 across in the y-direction. (Note that there is more than one right answer; and that you do not need to simplify your answer to a single number, e.g. 1.2.4+2.(-1) would be an acceptable 0⁰
The following table contains values of a function f(x, y) x = 1 x = 1.4 x = 1.8 8.01 x = 2.2 x = 2.6 5.4 10.2 6.7 4.5 9.42 7.5 6 5.3 4.98 8.7 7.1 5.81 5.7 5.6 7.23 6.85 5.4 5.35 5.23 6.5 4.4 3.8 3.7 3.9 x = 3 4.8 4.67 5.04 5.15 5.25 y = 0 y = 1 y = 2 y = 3 y = 4 (a) If R is the rectangle [1, 3] x [0, 2] write down a number that provides a good estimate of [[ f(x,y)dA via a Riemann sum S3,2, meaning that you use six rectangles that are three across in the x direction and 2 across in the y-direction. (Note that there is more than one right answer; and that you do not need to simplify your answer to a single number, e.g. 1.2.4+2.(-1) would be an acceptable 0⁰
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![2.
The following table contains values of a function f(x, y)
x = 1.8 x = 2.2
x = 1
10.2
x = 1.4
8.01
x = 2.6
4.5
6.7
5.4
9.42
7.5
6
5.3
4.98
8.7
7.1
5.81
5.7
5.6
7.23
6.85
5.4
5.35
5.23
6.5
4.4
3.8
3.7
3.9
y = 0
y = 1
y = 2
y = 3
y = 4
x = 3
4.8
4.67
5.04
5.15
5.25
(a) If R is the rectangle [1, 3] × [0, 2] write down a number that provides a good estimate of
J[ f(x, y)dA
via a Riemann sum S3,2, meaning that you use six rectangles that are three across in the x
direction and 2 across in the y-direction. (Note that there is more than one right answer;
and that you do not need to simplify your answer to a single number, e.g. 1.2.4+2 (−1)
would be an acceptable](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F544619bd-8c78-4645-a378-5ac6fd72cca3%2F299a119b-c742-4397-bfe7-b26ef560efc7%2Fgw3k7er_processed.png&w=3840&q=75)
Transcribed Image Text:2.
The following table contains values of a function f(x, y)
x = 1.8 x = 2.2
x = 1
10.2
x = 1.4
8.01
x = 2.6
4.5
6.7
5.4
9.42
7.5
6
5.3
4.98
8.7
7.1
5.81
5.7
5.6
7.23
6.85
5.4
5.35
5.23
6.5
4.4
3.8
3.7
3.9
y = 0
y = 1
y = 2
y = 3
y = 4
x = 3
4.8
4.67
5.04
5.15
5.25
(a) If R is the rectangle [1, 3] × [0, 2] write down a number that provides a good estimate of
J[ f(x, y)dA
via a Riemann sum S3,2, meaning that you use six rectangles that are three across in the x
direction and 2 across in the y-direction. (Note that there is more than one right answer;
and that you do not need to simplify your answer to a single number, e.g. 1.2.4+2 (−1)
would be an acceptable
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 5 images
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
