36. Let I = = (x 3y + 1) dx + (ye* + y)...

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36. Let I₁ = = √ (x² − 3y² + 1) dx + (ye* + y³) dy, where C₁ is the trapezoid in the xy-plane with vertices (0,0), (2,0), (2,1), and (1,1) oriented 1 counter-clockwise. Find the value of I₁. 34. Let S be the part of the surface z = 1 - x² that lies above the xy-plane and between the planes y = 0 and y + 2z = 4. Find the mass of S if its mass density is given by 8(x, y, z) = 5√√/5x² + z. 36. Let I₁ = = √ (x² − 3y² + 1) dx + (ye* + y³) dy, where C₁ is the trapezoid in the xy-plane with vertices (0,0), (2,0), (2,1), and (1,1) oriented 1 counter-clockwise. Find the value of I₁. 34. Let S be the part of the surface z = 1 - x² that lies above the xy-plane and between the planes y = 0 and y + 2z = 4. Find the mass of S if its mass density is given by 8(x, y, z) = 5√√/5x² + z.

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Let 11 Sc x3y 14x ye y dy where lets be the part of the surface zo 1x is the trapezoid in the xyplan... View the full answer