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Chapter 15, Section 15.6, Question 019 Find the flux of the vector field Upper F across sigma in the direction of positive orientation. Upper F left-parenthesis x comma y comma z right-parenthesis equals StartRoot x Superscript 2 Baseline plus y Superscript 2 EndRoot ⁢ k ⁢ where sigma is the portion of the cone r left-parenthesis u comma v right-parenthesis equals u ⁢ c o s v ⁢ i plus u ⁢ s i n v ⁢ j plus 10 ⁢ u ⁢ k with 0 less-than-or-equal-to u less-than-or-equal-to 4 ⁢ s i n v comma 0 less-than-or-equal-to v less-than-or-equal-to pi. Enter the exact answer as an improper fraction, if necessary.

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Jean Keeling
Jean KeelingLv2
11 May 2019

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