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  1. mathematics
  2. algebra
  3. let f = (4z+4x)i + (4y + 4z + 4 sin(y))j+ (4x + 4y

Let F = (4z+4x)i + (4y + 4z + 4 sin(y))j+ (4x + 4y +...

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Algebra

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Let F = (4z+4x)i + (4y + 4z + 4 sin(y))j+ (4x + 4y + 4e?) k(a) Find curl F.(b) What does your answer to part (a) tell you about ?F.dr where C is the circle c(x-10)+(y-25)=1 in the xy-plane, oriented clockwise? (c) If C is any closed curve,what can you say about? F.dr? c(d) Now let C be the half circle (x-10) + (y-25)=1 in the xy-plane with y> 25, traversed from (11, 25) to (9, 25). Find ?F .dr by using your result from (c) and cconsidering C plus the line segment connecting the endpoints of C.

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