Calculate the circulation (work) of the vector field F(x, y, z) = (3x+ yz)i+(x+4y)j+(2y-3z)k around the curve where the plane 2x – 2y+ z =10 intersects the cylinder x + y² = 4 with the curve oriented counterclockwise as viewed from the positive z-axis. [Hint: It's a lot easier with Stokes' Theorem.]
Calculate the circulation (work) of the vector field F(x, y, z) = (3x+ yz)i+(x+4y)j+(2y-3z)k around the curve where the plane 2x – 2y+ z =10 intersects the cylinder x + y² = 4 with the curve oriented counterclockwise as viewed from the positive z-axis. [Hint: It's a lot easier with Stokes' Theorem.]
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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![Calculate the circulation (work) of the vector field F(x, y,z) = (3x+ yz)i+(x+4y)j+(2y– 3z)k
around the curve where the plane 2x – 2y+ z =10 intersects the cylinder x² +y² =
oriented counterclockwise as viewed from the positive z-axis. [Hint: It's a lot easier with Stokes' Theorem.]
4 with the curve](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cf39bc1-e99f-4f8e-bd4a-5e2f2cdd25f5%2Fb223e5e8-bd2a-4883-a4c1-27be8ebdcb1b%2F50wyz5f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Calculate the circulation (work) of the vector field F(x, y,z) = (3x+ yz)i+(x+4y)j+(2y– 3z)k
around the curve where the plane 2x – 2y+ z =10 intersects the cylinder x² +y² =
oriented counterclockwise as viewed from the positive z-axis. [Hint: It's a lot easier with Stokes' Theorem.]
4 with the curve
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