(1 point) If C is the line segment from (7,4) to, (0,0), find the value of...
(1 point) If C is the line segment from (7,4) to, (0,0), find the value of the line integral: Sc(8y2 i + 2x j). dr = 952/3
Evaluate the following line integral. yzdx+xzdy +aydz, where c consists of straight-line segments joining (1,0,0) to (0,1,0) to (0,0,1) yzdx+xzdy +aydz, where c consists of straight-line segments joining (1,0,0) to (0,1,0) to (0,0,1)
(1 point) Find((x2 +2y)i +3y j)- dr where C consists of the three line segments from (3,0, 0) to (3,4,0) to (0, 4, 0) to (0, 4,4) Jex2 2y)i3yh df = [95
(1 point) Let Vf =-8xe-r sin(5y) 20e-x. cos(Sy) j. Find the change inf between (0,0) and (1, π/2) in two ways vf . dr, where C is a curve connecting (0,0) and (1.d2). (a) First, find the change by computing the line integral The simplest curve is the line segment joining these points. Parameterize it: with 03t s 1, r(t)- so that Icvf . di- Note that this isn't a very pleasant integral to evaluate by hand (though we could...
→ (1 point) Let Vf-6xe-r sin(5y) +1 5e* cos(Sy) j. Find the change inf between (0,0) and (1, n/2) in two ways. (a) First, find the change by computing the line integral c Vf di, where C is a curve connecting (0,0) and (1, π/2) The simplest curve is the line segment joining these points. Parameterize it: with 0 t 1, K) = dt Note that this isn't a very pleasant integral to evaluate by hand (though we could easily...
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3) 5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
5. Compute the line integral ſc fds, where a) C is the line segment from (3,4,0) to (1,4, 2) and f(x, y, z) = x + y2. b) C is the curve y = x2 from (0,0) to (3,9) and f(x,y) = 3x. c) C is the upper half of the circle of radius 2 from (2,0) to (-2,0) and f(x,y) = y.
Please help solve the following question with steps. Thank you! 6. Compute JF . T ds where F (-y,z) and (a) C is the line segment from (1,0) to (0,0) followed by the line segment from (0,0) to (0, 1) (b) C is the line segment from (1,0) to (0, 1) (c) C is the part of the unit circle in the first quadrant, moving from 6. Compute JF . T ds where F (-y,z) and (a) C is the...
Problem 1 Evaluate the line integral / x2 ds, where C is the line segment from (3,0) to (0,4) in the xy-plane.
Question Help LetF=v(xy?) and let C be the path in the xy-plane from (-44) to (4.4) that consists of the line segment from (-44) to (0,0) followed by the line segment from (0,0) to (4.4). Evaluate SA Fodrin two ways a) Find parametrizations for the segments triat make up C C-v*(4-440stst C12(0) = (4) Costs С a) Find parametrizations for the segments that make up C and evaluate the integral b) Use 1(xy] =x?y? as a potential function for F