At least one of the answers above is NOT correct. Consider the paraboloid z = x² + y². The plane 5x - 7y + z- 5 = 0 cuts

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At Least One Of The Answers Above Is Not Correct Consider The Paraboloid Z X Y The Plane 5x 7y Z 5 0 Cuts 1 (51.93 KiB) Viewed 38 times

At least one of the answers above is NOT correct. Consider the paraboloid z = x² + y². The plane 5x - 7y + z- 5 = 0 cuts the paraboloid, its intersection being a curve. Find "the natural" parametrization of this curve. Hint: The curve which is cut lies above a circle in the xy-plane which you should parametrize as a function of the variable t so that the circle is traversed counterclockwise exactly once as t goes from 0 to 2*pi, and the paramterization starts at the point on the circle with largest x coordinate. Using that as your starting point, give the parametrization of the curve on the surface. c(t) = (x(t), y(t), z(t)), where 47 x(t) = √√7cos (1) - 47 y(t) = √7sin(t) + 2 z(t) = 12-5 -5 (√77) Preview My Answers 13/12 + 1/1/2 Note: You can earn partial credit on this problem. Email Instructor +1 Submit Answers Your score was recorded. You have attempted this problem 6 times. You received a score of 67% for this attempt. Your overall recorded score is 67%. You have unlimited attempts remaining.