3. Use Stokes theorem to evaluate fa. In each case C is oriented counterclockwise when viewed from above. a) a = (x+ y) da + (y+2) dy + (z + a2) dz, C is the triangle with vertices (1,0,0), (0, 1,0), and (0,0, 1). (Compare to section 16.8, problem 7.) %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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3. Use Stokes theorem to evaluate f a. In each case C is oriented counterclockwise when viewed
from above.
(x+y?) dr + (y + z²) dy + (z + a²) dz, C is the triangle with vertices (1,0,0), (0, 1,0),
and (0,0, 1). (Compare to section 16.8, problem 7.)
b) a = dx+(x+yz) dy+(ay-VE) dz, C is the boundary of the part of the plane 3x+2y+z = 1
in the first octant. (Compare to section 16.8, problem 8.)
c) a = ry dr+ yz dy + za dz, C is the boundary of the part of the paraboloid z = 1 – 22 – y?
in the first octant. (Compare to section 16.8, problem 9.)
a) a =
Transcribed Image Text:3. Use Stokes theorem to evaluate f a. In each case C is oriented counterclockwise when viewed from above. (x+y?) dr + (y + z²) dy + (z + a²) dz, C is the triangle with vertices (1,0,0), (0, 1,0), and (0,0, 1). (Compare to section 16.8, problem 7.) b) a = dx+(x+yz) dy+(ay-VE) dz, C is the boundary of the part of the plane 3x+2y+z = 1 in the first octant. (Compare to section 16.8, problem 8.) c) a = ry dr+ yz dy + za dz, C is the boundary of the part of the paraboloid z = 1 – 22 – y? in the first octant. (Compare to section 16.8, problem 9.) a) a =
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