Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
7. Use Stokes Theorem to calculate the circulation of the vector field F =(2²+z)i + + y² + ² = 1 with (y² + 2x)j + (2²-y)k along the curve of intersection of the sphere the cone z = √² + y² traversed in the counterclockwise direction around the z-axiz when viewed from above.

7. Use Stokes Theorem to calculate the circulation of the vector field F =(2²+z)i + + y² + ² = 1 with (y² + 2x)j + (2²-y)k along the curve of intersection of the sphere the cone z = √² + y² traversed in the counterclockwise direction around the z-axiz when viewed from above.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
is this solved correctly?
7. Use Stokes Theorem to calculate the circulation of the vector field F =(2²+z)i + (y² + 2x)j + (2²-y)k along the curve of intersection of the sphere a + y² + ² = 1 with the cone z = √² + y² traversed in the counterclockwise direction around the z-axiz when viewed from above.
Transcribed Image Text:7. Use Stokes Theorem to calculate the circulation of the vector field F =(2²+z)i + (y² + 2x)j + (2²-y)k along the curve of intersection of the sphere a + y² + ² = 1 with the cone z = √² + y² traversed in the counterclockwise direction around the z-axiz when viewed from above.
Stokes = $uxFondo = √ FIRCED OF OF (t)=< cost, Sint, 07 a? <-sint, cost, or ● at Fir(t) = <cos²t, sin²+ + 2 cost, -sint> · <-sint, cost, os J² >cos²€ sint + Sin²t cost + 2c06²+ dt 기 U= cost u= Sint du sint du= Cost 2 =f}" u²du 1) U² = 2T 2 2 cos? tdt = 2 Z }(1-1)=0 21" 1 + cos² dt 2 2πT = 25th = / + cos20 10 = 2 N t 2 ( ½ + + Sin²²) | 20 花 4 10 2 (240) 211 -sin2t 2 N
Transcribed Image Text:Stokes = $uxFondo = √ FIRCED OF OF (t)=< cost, Sint, 07 a? <-sint, cost, or ● at Fir(t) = <cos²t, sin²+ + 2 cost, -sint> · <-sint, cost, os J² >cos²€ sint + Sin²t cost + 2c06²+ dt 기 U= cost u= Sint du sint du= Cost 2 =f}" u²du 1) U² = 2T 2 2 cos? tdt = 2 Z }(1-1)=0 21" 1 + cos² dt 2 2πT = 25th = / + cos20 10 = 2 N t 2 ( ½ + + Sin²²) | 20 花 4 10 2 (240) 211 -sin2t 2 N
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS