# curl of the vector field

Question 1 3 pts What is the curl of the vector field Fx, y, z) = yzi + xyzj + xyk? curl F= (x – xy, 0, z – yz) curl F= (x – xy, 0, yz – z) curl F= (xy – x, 0, z – yz) curl F= (xy – x, 0, yz – z) Question 2 3 pts Which of the following best describes the surface with the vector equation Hu, v) = (cosu)i + (sin u)j + Uk? A sphere of radius 1 centered at the origin A right circular cone whose vertex is the origin A plane passing through the origin A cylinder whose axis is the z-axis Question 3 3 pts Which of the following is equivalent to the surface integral ‘//x- (x – y = z) ds, where S is the S surface with the following parametric equations? x = 2u, y = 3 + u + v, z = 1 + Zu + 2v, o su < 2, O SUS4 2 (-42u – 630 – 84) du du IT 6*** 17(+2» – 30 – 4) du dve 6*5* VII (–20 – 30 – 4) du dv 6. 1-20 – 30 – 4) au du Question 4 3 pts which of the following is equivalent to the surface integra | F.ds, where s Ax, y, z) = -x?i+ xyj + xyzk and S is the part of the surface z = xy that lies above the square 0 < x
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