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Find the Coordinates of the Point Where the Line Tangent r(t)=ti+t2j+t3k\vec { r } ( t ) = t \vec { i } + t ^ { 2 } \vec { j } + t ^ { 3 } \vec { k }

Question 22

Essay

Find the coordinates of the point where the line tangent to the curve r(t)=ti+t2j+t3k\vec { r } ( t ) = t \vec { i } + t ^ { 2 } \vec { j } + t ^ { 3 } \vec { k } at the point (4, 16, 64)crosses the xy-plane.

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