Mathematics
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 tanβˆ’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 = βˆ‡ Γ— f = i j k βˆ‚/βˆ‚x βˆ‚/βˆ‚y βˆ‚/βˆ‚z p q r = βˆ‚r βˆ‚y βˆ’ βˆ‚q βˆ‚z i + βˆ‚ $$p βˆ‚z βˆ’ βˆ‚r βˆ‚x j + βˆ‚q βˆ‚x βˆ’ βˆ‚p βˆ‚y k part 2 of 3 for f(x, y, z) = exy sin z j + y tanβˆ’1 x z k, we have the following. βˆ‚r βˆ‚y βˆ’ βˆ‚q βˆ‚z = tanβˆ’1( x z)βˆ’exycos(z) βˆ‚p βˆ‚z βˆ’ βˆ‚r βˆ‚x = 8yz x2+z2 βˆ‚q βˆ‚x βˆ’ βˆ‚p βˆ‚y = 8yz x2+z2

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