The intersection of the ellipsoid x? + 4y? +z? = 36 with the plane z = V3x gives an ellipse C. A) Write a parametrization of this ellipse r(t) for 0 sts2x. r(t)= (]cost,sint, cos t). B) In order to do the line integral of the function 4 f(x,y.z) =, 16 36 36 over this ellipse one must find the integral of (enter the appropriate number in each term which appears in the integrand) 2x f ds = ] JOsin ?t +O cos ?t) dt

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