TranscribedText: Problem 2. [25pts] For each of the following vector fields F find the curl. 1. (5pts) F : R3 -> R3 such that F I2 = I3 2TIT213 V X F(x) = 2. (5pts) F : R3 -> R3 such that F I2 = T2 + 1341 T3 + T142 V X F(x) = cos(T213) - T1 3. (5pts) F : R3 -> R3 such that F 12 = COS(T341) - 12 Cos(T142) - 13 V X F(x) = T1 4. (5pts) F : R3 -> R3 such that F 12 = V X F(x) = 5. (5pts) F : R3 -> R3 such that F 12 = C3 13 - 213 V X F(x) =

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Problem 2. [25pts] For each of the following vector fields F find the curl. T1 x 1. (5pts) F R3 R3 such that F 2 = 2x12x3/ F(x) = x1 x1+x2x3 2. (5pts) F: R3 R3 such that F x2 23 = x2+x31 x3+x1x2, F(x) = I 3. (5pts) F: R3 R3 such that F I2 = (cos(x2x3)-21 cos(x3x1)- 2 23 cos(x1x2)- 23/ V F(x) = 21 4. (5pts) F: R3 R3 such that F 22 xx3 212223 23 xx2 V F(x) = 3x7x3 22 = 2x1x2 x1 5. (5pts) F: R3 R3 such that F V F(x) = 23 x-2x3 Problem 2. [25pts] For each of the following vector fields F find the curl. T1 x 1. (5pts) F R3 R3 such that F 2 = 2x12x3/ F(x) = x1 x1+x2x3 2. (5pts) F: R3 R3 such that F x2 23 = x2+x31 x3+x1x2, F(x) = I 3. (5pts) F: R3 R3 such that F I2 = (cos(x2x3)-21 cos(x3x1)- 2 23 cos(x1x2)- 23/ V F(x) = 21 4. (5pts) F: R3 R3 such that F 22 xx3 212223 23 xx2 V F(x) = 3x7x3 22 = 2x1x2 x1 5. (5pts) F: R3 R3 such that F V F(x) = 23 x-2x3