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Let ? (?, ?) = (? 2 cos ? + cos ?)? + (2? sin ?...

Let ? (?, ?) = (? 2 cos ? + cos ?)? + (2? sin ? − ? sin ?)? .

a. Show that ?⃗ is conservative and find a potential function f such that ∇? = ?⃗

b. Evaluate ∫ ? ∙ ?? ? where C is the line segment from (0, ?/4 ) to ( ?/6 , ?/2 )

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