#295 Find the points on the hyperboloid
Find the points on the hyperboloid- Math
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Find the points on the hyperboloid x2+4y^2-z^2=4 where the tangent plane is parallel to the plane 2x+2y+z=5
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Free Chegg Answer
Let (x,y,z) be point on the hyperboloid
g(x,y,z) = x^2 + 4y^2 - z^2
Then the gradient
∇f(x,y,z) is parallel to 2i + 2j + k a vector normal to the given plame
that is
2x = 2k
8y = 2k
and -2z = k
for some scalar k
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