Question 4 (10 points) Evaluate the line integral, where C is the given curve. y sin(2+1)...
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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,...
SCalcET8 16.2.015. Evaluate the line integral, where C is the given curve. ∫c z2 dx + x2 dy + y2 dz, C is the line segment from (1, 0, 0) to (3, 1, 4)
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 4 sin(y) dx + 4x cos(y) dy C is the ellipse x2 + xy + y2 = 49 Ic
Use Green's theorem to evaluate the line integral S. (sin(22) – 5y) dx + (72 – y cos y) dy, where C is the the counter clockwise oriented closed curve consisting of the upper half of the circle (x – 5)2 + (y – 4)2 = 9 and the line segment between (2, 4) and (8,4).
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).
Evaluate the line integral, where C is the given curve. Sc xyz2 ds C is the line segment from (-1,3,0) to (1,4, 1). 63V6 20 Need Help? Read It Talk to a Tutor
(4) Evaluate the line integral F dr where C is the epicycloid with parametrization given by r(t) 5 cos t - gradient of the function f(x, y) = 3 sin(ry) + cos(y2) cos 5t and y(t) = 5 sin t - sin 5t for 0 < t < 2« and F is the (5) EvaluateF dr where F(x, y) with counterclockwise orientation (2y, xy2and C is the ellipse 4r2 9y2 36 _ F dr where F(r, y) = (x2 -...
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy + cos a sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
Consider the line integral Sc xy dx + (x - y) dy where is the line segment from (4, 3) to (3,0). Find an appropriate parameterization for the curve and use it to write the integral in terms of your parameter. Do not evaluate the integral.
Evaluate the line integral, where C is the given curve.
where C is the curve of intersection of the
sphere
and the plane
oriented counterclockwise when viewed from the positive x-axis.
We were unable to transcribe this image-- + +22=1 r - y=0