Consider the vector field F F(x, y, z) = sin yi + x cos yj + – sin zk. (a) Show this vector field is conservative. (b) For this vector field, find a potential function ø which satisfies o(0, 0, 0) = 2020.

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3. Consider the vector field F
F(x, y, z) = sin yi + x cos yî + – sin zk.
(a) Show this vector field is conservative.
(b) For this vector field, find a potential function o which satisfies (0, 0,0) = 2020.
Transcribed Image Text:3. Consider the vector field F F(x, y, z) = sin yi + x cos yî + – sin zk. (a) Show this vector field is conservative. (b) For this vector field, find a potential function o which satisfies (0, 0,0) = 2020.
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