Question: 22. Evaluate the integral HR (x + y) [114. using a change of variable of your choice. Where R is the Region bounded by the

 22. Evaluate the integral HR (x + y) [114. using achange of variable of your choice. Where R is the Region boundedby the lines x + y = 1 and x + y= 2 andthelines x+2y=1andx+3y=2 22. Find the Gradient Field for F" ='34, for the potential function (phi, y,z) = Sin (xy + z)
\f24. Find the Line Integral J F . dr where F =(-y , x) on the parabola y = x from (1, 1)to (3,9).25. Use Greens Theorem to Find the following Linc Integral. Considerthe following line integral. 55w d): + x2143 o'y, C is counterclockwisearound the triangle with vertices [0, 0), {1, D). and (1, 4}

22. Evaluate the integral HR (x + y) [114. using a change of variable of your choice. Where R is the Region bounded by the lines x + y = 1 and x + y = 2 andthelines x+2y=1andx+3y=2 22. Find the Gradient Field for F" = '34, for the potential function (phi, y,z) = Sin (xy + z) \f24. Find the Line Integral J F . dr where F = (-y , x) on the parabola y = x from (1, 1) to (3,9).25. Use Greens Theorem to Find the following Linc Integral. Consider the following line integral. 55w d): + x2143 o'y, C is counterclockwise around the triangle with vertices [0, 0), {1, D). and (1, 4} c

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