#28 please Let C be the semicircle {(x,y)| x2 + y2=4, x le 0}, oriented in the c
ID: 2869283 • Letter: #
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#28 please
Let C be the semicircle {(x,y)| x2 + y2=4, x le 0}, oriented in the counterclockwise direction. Evaluate the line integral (2xy+1) dx + (4x2-2xy) dy Evaluate the line integral (x3+4y)dx+(2x-y2)dy where C is the boundary of the parallelogram with vertices (0,0),(2,0),(3,2), and (1,2), traversed counterclockwise. Consider the vector field F=(a x 2 y + y 3 + 1, 2 x 3 + bxy 2) where a and b are constants. Find the values of a and b for which F is conservative. For the values of a and b you found in part (a), find a function Phi (x, y) such that F = Delta Phi . Still using the values of a and b from part (a), evaluate F . dx where C is the curve given by the parametric equations x = e t cost, y = e t sint, 0 le t le pi oriented in the direction of increasing t. Consider three position vectors (tails are the origin): u= (1,0,0) v = (4,0,2) (0,1,1) Find an equation of the plane passing through the tips of u, v, and Find an equation of the line perpendicular to the plane from part (a) and passing through the origin.Explanation / Answer
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