(10) (8 points) Evaluate the line integral Scry ds, where C is the upper half of...
Q5. (10+10+5=25 points) a) Use Green's Theorem to evaluate the line integral $. 3x2ydx - 3xy’dy along the negatively oriented curve C which is the boundary of the region enclosed by upper half of the circle x2 + y2 = 4 and x-axis. b) Evaluate Sc, 3x” ydx – 3xy?dy where C1 is only upper half of the circle x2 + y2 = 4. c) If P = 0, Q = x in part (a), find $ xdy without taking...
Evaluate the line integral «+xy+y)ds where C is the path of the arc along the circle given by x2 + y2 = 9, starting at the point (3,0) going counterclockwise making an inscribed angle of a The line integral equals (45-72*sqrt(2))/8 Submit Answer Incorrect. Tries 1/8 Previous Tries
(8 points) Evaluate the surface integral SF. dS where F = (1, 32, 3y) and S is the part of the sphere x2 + y2 + z2 = 4 in the first octant, with orientation toward the origin. SSSF. ds
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
MA261-calculasIII a) Use Green's Theorem to evaluate the line integral -4x'ydx + 4xy-dy along the Q5. (10+10+5=25 points) positively oriented curve C which is the boundary of the region enclosed by upper half of the circle x2 + y2 = 9 and x-axis. b) Evaluate Scą - 4xydx + 4xy?dy where G is only upper half of the circle x² + y2 = 9. c) If P = 0, Q = x in part (a), find $ xdy without taking...
please be clear as possible. thanks 2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
1. (5 points) Evaluate the line integral 1 + de todos dy, where C consists of the arc of the circle x2 + y2 = 4 from (0, 2) to (2,0).
6AHW5: Problem 14 Prev | Up Next (1 pt) Evaluate the line integral / 2.cy ds, where is the right half of the circle x + y2 = 9. 65610/7 Preview Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0%. Vou have unlimited attemnte remaininn
Problem 1 Evaluate the line integral / x2 ds, where C is the line segment from (3,0) to (0,4) in the xy-plane.
Evaluate the line integral | * dr + 2diu + g? ds. 22 dx + x? dy + y2 dz, where C is the line segment from (1,0,0) to (4,1,2).