4 Consider the line integral C F dr where C is the quarter circle r ( t ) cos ( t ) i sin ( t ) j , 0 t 2 and F j ( a constant field ) 1 Compute this integral by the Fundamental Theorem, finding first a function f such that F f 2 Since F is conservative, in computing C F dr the curve C may be replaced by any other path with the same initial and end points Find a path that goes from ( 1 , 0 ) to the origin and then to ( 0 , 1 ) for which the line integral of F is obviously equal to one

Question

4   Consider the line integral   C F dr where C is the quarter circle r ( t )   cos ( t ) i   sin ( t ) j , 0 t   2 and F   j ( a constant field )   1   Compute this integral by the Fundamental Theorem, finding first a function f such that F   f   2   Since F is conservative, in computing   C F dr the curve C may be replaced by any other path with the same initial and end points  Find a path that goes from ( 1 , 0 ) to the origin and then to ( 0 , 1 ) for which the line integral of F is obviously equal to one

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4 . Consider the line integral _ C F dr where C is the quarter circle r ( t ) = cos ( t )

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1 Understanding Responsive Design Principles

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