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Problem 1) (25 Pts). Consider the trajectory given by x=cos(t) y=sin(t) z=cos2(t). a) Write an expression for the speed (magnitude of the velocity). b) Consider

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Problem 1) (25 Pts). Consider the trajectory given by x=cos(t) y=sin(t) z=cos2(t). a) Write an expression for the speed (magnitude of the velocity). b) Consider the vector field v=[y,-x,0]. Write an integral for the circulation of v around the path from t=0 to t=2n. That is, compute the line integral of the dot product of v with the unit tangent vector. (DO NOT USE GREEN/STOKES THEOREM. JUST DO THE CIRCULATION INTEGRAL.)

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