(a) Find a vector parametric equation for the part of the plane z = -- 5y + 81 that lies above [0,2] ×x [0, 4]. F(u, v) = for 0
(a) Find a vector parametric equation for the part of the plane z = -- 5y + 81 that lies above [0,2] ×x [0, 4]. F(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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(Needed only d and e parts )
![(a) Find a vector parametric equation for the part of the plane z = – 5y + 81 that lies above [0,2] × [0, 4].
F(u, v)
. for 0 < u < 2 and 0< v< 4.
(b) dA
du
dv
(c) dA =
||J||
%3D
du
dv
(d) Set up and evaluate a double integral for the surface area of the part of the plane z=x – 5y + 81 that lies above the square [0, 2] × [0, 4].
Surface area =
(e) A region R in the zy-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%2Fe0d9083b-26fb-42cf-924f-d591ea0f9b02%2F438bfedf-d722-48fe-b550-3c544ae8e557%2Fi200bt6_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Find a vector parametric equation for the part of the plane z = – 5y + 81 that lies above [0,2] × [0, 4].
F(u, v)
. for 0 < u < 2 and 0< v< 4.
(b) dA
du
dv
(c) dA =
||J||
%3D
du
dv
(d) Set up and evaluate a double integral for the surface area of the part of the plane z=x – 5y + 81 that lies above the square [0, 2] × [0, 4].
Surface area =
(e) A region R in the zy-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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