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Mathematics, 16.07.2019 23:30 la200564
This question has several parts that must be completed sequentially. if you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. find the following: f(x, y, z) = exysin z j + y tan−1(x/z)k exercise (a) the curl of the vector field. part 1 of 3 recall that for f(x, y, z) = p(x, y, z)i + q(x, y, z)j + r(x, y, z)k, curl f is given by the following. curl f = ∇ × f = i j k ∂/∂x ∂/∂y ∂/∂z p q r = ∂r ∂y − ∂q ∂z i + ∂ $$p ∂z − ∂r ∂x j + ∂q ∂x − ∂p ∂y k part 2 of 3 for f(x, y, z) = exy sin z j + y tan−1 x z k, we have the following. ∂r ∂y − ∂q ∂z = tan−1( x z)−exycos(z) ∂p ∂z − ∂r ∂x = 8yz x2+z2 ∂q ∂x − ∂p ∂y = 8yz x2+z2
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