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Consider the Equation x2+y2+z2=49x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49

Question 232

Essay

Consider the equation x2+y2+z2=49x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49 .(a) Sketch this surface. Consider the equation x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49 .(a) Sketch this surface. (b) Find an equation of the tangent plane to the surface at the point ( 6,2,3 ) .(c) Find a symmetric equation of the line perpendicular to the tangent plane at the point ( 6,2,3 ) . (b) Find an equation of the tangent plane to the surface at the point (6,2,3)( 6,2,3 ) .(c) Find a symmetric equation of the line perpendicular to the tangent plane at the point (6,2,3)( 6,2,3 ) .

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(a) blured image The surface is ...

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