(1 point) (a) Find a vector parametric equation for the part of the plane z = z – 5y + 81 that lies above (0, 2] × (0,4]. 7(u, v) = , for 0
(1 point) (a) Find a vector parametric equation for the part of the plane z = z – 5y + 81 that lies above (0, 2] × (0,4]. 7(u, v) = , for 0
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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Q1-Please help me with this problem and needed all parts to be answered please, will be highly appreciated.
![(1 point) (a) Find a vector parametric equation for the part of the plane z = I – 5y + 81 that lies above (0, 2] x [0, 4].
7(u, v)
* for 0 <u<2 and 0< v< 4.
(b) dA
du
dv
(c) dA = ||dA||
du
dv
(d) Set up and evaluate a double integral for the surface area of the part of the plane z= z – 5y + 81 that lies above the square (0, 2] x [0, 4).
Surface area =
(e) A region Rin the ry-plane has area 1.55. What is the area of the part of the plane z = z – 5y + 81 that lies above and / or below the region R?
Surface area =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c7364ab-f4a8-4ea5-a82b-ff1bb47d15c6%2F6391bcc9-5e70-49aa-abd4-d21c4a7adb2c%2Fh1x1g8d_processed.png&w=3840&q=75)
Transcribed Image Text:(1 point) (a) Find a vector parametric equation for the part of the plane z = I – 5y + 81 that lies above (0, 2] x [0, 4].
7(u, v)
* for 0 <u<2 and 0< v< 4.
(b) dA
du
dv
(c) dA = ||dA||
du
dv
(d) Set up and evaluate a double integral for the surface area of the part of the plane z= z – 5y + 81 that lies above the square (0, 2] x [0, 4).
Surface area =
(e) A region Rin the ry-plane has area 1.55. What is the area of the part of the plane z = z – 5y + 81 that lies above and / or below the region R?
Surface area =
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