SOLUTION: Determine the equation of the tangent plane to the sphere x^2 + y^2 + z^2 = 1 at the point (1/2, 1/2,{{{sqrt(2)/2}}}).

Question 1045479: Determine the equation of the tangent plane to the sphere x^2 + y^2 + z^2 = 1 at the point (1/2, 1/2,).
Answer by Edwin McCravy(20065) (Show Source): You can put this solution on YOUR website!

The equation of the tangent plane to the surface 
 at the point 

is

  


 

















So the equation of the tangent plane at  is

 

 

 



Edwin

RELATED QUESTIONS
Given the circle x^2+y^2-4x+y=7 1 determine the equation of the tangent to the circle at (answered by josgarithmetic)

Determine the equation of the tangent to the curve y=((x^2)-1)/(3x) at x=2. (answered by Alan3354)

Determine the gradient of the tangent to the following curve at the point where x=2... (answered by Cromlix)

Find the equation of the tangent line to the curve {{{(x-y)^2}}}{{{""=""}}}{{{2x+1}}}... (answered by Edwin McCravy)

Find the equation of the tangent line to the curve (x-y)^2=2x+1 at the point... (answered by Alan3354)

Find the equation of the tangent line to the curve (x-y)^2=2x+1 at the point... (answered by Fombitz)

Determine the slope of the tangent to y=1/1-x at the point (2,-1) without constructing a... (answered by drk,solver91311)

Determine the slope of the tangent to y=1/1-x at the point (2,-1) without constructing a... (answered by richwmiller,Alan3354)

Find the slope of the tangent line: (a)To the ellipse x^2+y^2/2=1 at the point... (answered by AnlytcPhil)