6. Evaluate the line integral Skyds where of yox from (0,0) to (ii).... is the ar
ii) Evaluate the following line integral: gdl. Where g = 20xy for line element from: a) P(0,0,0) to Q(1,1,1) and, b)y = x4
10. Evaluate the line integral Sc xy2dx + xạy dy where is the portion of the parabola y = x2 from (0,0) to (2,4).
3. (12 points) Evaluate the line integral S y3dx + (x3 + 3xy2)dy , where C is the path from (0,0) to (1,1) along the graph y = x3 and from (1,1) to (0,0) along the graph of y=x.
Evaluate the line integral Sc(xy? + siny)dx, where C is the arc of the parabola x=y2 from (0,0) to (12,n).
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)
2. Evaluate the line integral / (x+2y)dx + r’dy, where C consists of the path C from (0,0) to (3,0), the path C2 from (3,0) to (2,1), and the path C3 from (2,1) to (0,0) by applying the following steps. (a) Evaluate (x + 2y) dx + c'dy, by parametrizing C C (b) Evaluate [ (x + 2y)dx + x>dy, by parametrizing C, (c) Evaluate | (x + 2y)dx + x’dy, by parametrizing C3 (d) Evaluate (+2y)dx + xºdy
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 where C is the boundary of the graphs of from (0,0) to (2,8) followed by a straight line segment from (2,8) to (0,0). We were unable to transcribe this imagey = 21
solve the proplem using Maple 6. (a) Consider the line integral (2) dx+2y dy, where C is part of the ellipse 9r26y144 from the point (0,3) to the point o.-3). Plot the curve C and evaluate the line integral. (b) Consider the surface integralVi++i where S is the surface of the helicoid r(mu) =< u cost, u sin v, u >, integral 0 u 1, 0 u 2r. Plot the surface S and evaluate the surface 6. (a) Consider the...
Problem 1. (16.2 Line Integrals) Evaluate the line integral Jc xeids, where C is the line segment from (0,0,0) to (1.2,3).(t,at,3t) Problem 1. (16.2 Line Integrals) Evaluate the line integral Jc xeids, where C is the line segment from (0,0,0) to (1.2,3).(t,at,3t)