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Mathematics, 12.03.2020 00:28 LexyClaire

Let F(x, y)=−yi+xjx2+y2F(x, y)=−yi+xjx2+y2 and let CC be the circle r(t)=(cost)i+(sint)jr(t)=(cos⁡t)i+( sin⁡t)j, 0≤t≤2π0≤t≤2π.

a. Compute ∂Q∂x∂Q∂x

b. Compute ∂P∂y∂P∂y

c. Compute ∫CF⋅dr∫CF⋅dr

d. Is F conservative? Type Y if yes, type N if no.

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Let F(x, y)=−yi+xjx2+y2F(x, y)=−yi+xjx2+y2 and let CC be the circle r(t)=(cost)i+(sint)jr(t)=(cos⁡t)...
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