If the gradient of f is Vƒ = 3x i + z² j+ 2yz k and the point P = (4, –6, –9) lies on the level surface f(x, y, z) = 0, find an equation for the tangent plane to the surface at the point P.

Q: Find an equation of the tangent plane to the surface z = -2z² – 2y?- lz 2y+ 3 at the point (5, 1,…

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Q: f(7,9) = 7. (1,1,1) zx/2+ y/2+5 -4/8-y/2

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Q: B) r(t) = (4 cos t, 4 sin t, 16)

A: We consider x=rcos(theta) and  y=rsin(theta)  Therefore r^2=x^2+y^2

Q: tangent plane

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Q: Find an equation of the tangent plane to the surface z = 2y² – 3x² at the point (-3, -3, -9).

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Q: Find an equation of the tangent plane to the surface z = 3a + 3y + xy at the point (-1,-1,-5).

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Q: Find an equation of the tangent plane to the surface x-xyz 56 at the point (-4,5,2). Select one:…

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Q: Find the equation of the tangent plane to the surface z = 4.x*y? + 2y at point (1, -2, 12).

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4x² + y² -…

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Q: Assuming that z is a function of x and y, find the equation of the tangent plane and the equations…

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