The tangent plane to the surface x? + yz +1 = 0 at the point (x, y, z) (2,–5, 1) passes through which of the following points: (А) (1,—1,1), (B) (0,1,0), (C) (–1,0, 2), (D) (2,0, 1), (E) (1, –3,0).

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A: The given function is It can be written as as the given function has both variables x and y.

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A: I hope that this solution will help you .Thankyou. Best regards.

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Q: 1. Give an equation of the tangent plane to the surface z= In(4y – x) at the point (3,1,0).

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Q: 9) Find a point on the surface z = 8- 3x2 - 2y2 at which the tangent plane is perpendicular to the…

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Q: An equation of the tangent plane to the surface x = 3 y2 - z2 at the point (8,-2,2) is: (A) (x – 8)…

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Q: The vector (x, 2y, –3z) is normal to the surface x2 + 2y? – 32 – 4 = 0 at any point (x, y, z). - - -

A: Let's find.

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Q: An equation of the tangent plane to the surface y = 3 x-z at the point (-2,8, 2) is: %3D (A) 12…

A: y = 3x2 -z2 at the point (-2,8,2)f(x,y,z) = 3x2 - z2 -y∂f∂x = 6x, ∂f∂y = -1, ∂f∂z = -2zat point…

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Q: Suppose that the plane tangent to the surface z = f(x, y) at (-4, 2, 5) has equation z + 5x + 4y =…

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A: This question is related to three dimensions geometry.

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Q: An equation of the tangent plane to the surface x = 3 y2 - z2 at the point (8, -2, 2) is: (A) (x –…

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Q: Find an equation of the plane tangent to the surface xy z2 = 2 at the point (2, 1, -1). О А.х+ бу +…

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Q: The tangent plane equation of the level surface z =-x² – 3y² at point (2,2,-16) is. O a.…

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A: Option C is true

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Q: The tangent plane and the normal line of the surface x = y? + z2 + l at (3, 1, -1) have the…

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Q: Find the equation of the tangent plane to the surface 3D1 16 at the point (1,-3,2) O a. 2x+4y-3z=12…

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Q: the tangent plane of the surface [ z=x^5+e^(xy)cosyx] at the point (1,0) O z=5x-y-3 O z=5x+y-3 O…

A: Above question is solved.

Q: the tangent plane of the surface [ x^2+y^2+z^2=14] at the point (1,3,2) O 3 x-6y + 4z = 28 2x+6y-4z…

A: Given problem:- the tangent plane of the surface [ x2 +y2+z2=14] at the point (1,3,2)

Q: An equation of the tangent plane to the surface z = 2 y-x at the point (2,-2, 4) is: (A) 4 (x – 2) +…

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Q: Suppose that f(1, 0, − 1) = 2, and f(x, y, z) is differen- tiable at (1, 0, -1) with Vf (1, 0, -1) =…

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Q: Find the equation of the tangent plane to the surface 4. =1 at the point 16 9. (1,-3,2) O a.…

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