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Find the equation for the tangent plane and the normal line at the point P0 (2,2,1) on the surface 2x2 +4y2 + 22 = 25.

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Find the equation for the tangent plane and the normal line at the point P0 (2,2,1) on the surface 2x2 +4y2 + 22 = 25. Using a coefcient of 4 for x, the equation for the tangent plane is 4x+ 8y + z - 25 = 0 . Find the equations for the normal line. Let x = 2 + 8t. x= ' y = ' z = (Type expressions using t as the variable.)

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