. Let Σ be the part of z = 4 - x² with z ≥ 0 and 1 ≤ y ≤ 5. Let C be the edge of Σ oriented clockwise when viewed from above. Use Stokes' Theorem to convert the line integral: Ludz + y dx + xy dy + xyz dz to a surface integral. Set up the surface integral as an iterated double integral. You Should Not Evaluate Your Resulting Integral!
. Let Σ be the part of z = 4 - x² with z ≥ 0 and 1 ≤ y ≤ 5. Let C be the edge of Σ oriented clockwise when viewed from above. Use Stokes' Theorem to convert the line integral: Ludz + y dx + xy dy + xyz dz to a surface integral. Set up the surface integral as an iterated double integral. You Should Not Evaluate Your Resulting Integral!
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 26E: Find the area between the curves in Exercises 1-28. x=0, x=/4, y=sec2x, y=sin2x
Question
Transcribed Image Text:. Let Σ be the part of z = 4 - x² with z ≥ 0 and 1 ≤ y ≤ 5. Let C be the edge of Σ oriented
clockwise when viewed from above. Use Stokes' Theorem to convert the line integral:
Ludz +
y dx + xy dy + xyz dz
to a surface integral. Set up the surface integral as an iterated double integral.
You Should Not Evaluate Your Resulting Integral!
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