Find an equation of the plane tangent to the following surface at the given point. 5xy + 7yz + 6xz - 72 = 0; (2,2,2) The equation of the tangent plane at (2,2,2) is

Q: Find an equation of the tangent plane to the surface at the given point in the figure below.

A: The function of the given surface can be written asG(x,y,z)=ln1+4x2+9y4-0.1z2Find the partial…

Q: Find an equation of the plane tangent to the following surface at the given points. z = In (1 + xy);…

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Q: Find the equation of the tangent plane to the surface 2= 42 + 3y+7zy at the point (0,-1,3).

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Q: Find an equation of the tangent plane to the surface z = 5y – 4x? at the point (-4, 2, -44).

A: The solution is given as

Q: Find the equation of the plane tangent to the following surface at the given points. x +y -z - 57 =…

A: x2+y2-z2-57=7

Q: Find an equation of the tangent plane to the surface defined by the equation zf(x, y) + 2³ = 3 at…

A: The given surface is:zf(x, y)+z3=3The point is (-1, 2, 3)

Q: 1. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). * 2r2 „2

A: by using formula of plane

Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

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Q: I. Find an equation of the tangent plane to the surface at the given point. a. f(x,y) = x² – 2xy +…

A: Given point is (1, 2, 1).

Q: Find an equation of the tangent plane to the surface z = x2 + y2 + 2 at the given point (1, 3, 12)

A: Given surface, So

Q: Find an equation of the plane tangent to the following surface at the given point. 4xy + 3yz + 5xz -…

A: The solution of the problem is given in the next step.

Q: Which of the following is the equation of the tangent plane to the surface z = 3x2 +x-y²+y at the…

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Q: Find an equation of the plane tangent to the following surface at the given point. 4xy + yz + 7xz -…

A: Equation of plane can be calculated by partial derivation method

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2x2 + y2 -…

A: We know that equation of tangent plane to the surface z=f(x,y) at the point (a,b,c) is

Q: Find an equation of the tangent plane to the given surface at the specified point. = 4(x – 1)2 + 3(y…

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Q: Find an equation of the tangent plane to the given surface at 'the specified point. Z =2x²+y&-5y and…

A: The equation of a tangent plane to the surface f(x,y,z) at the point x0 , y0 , z0 is calculated…

Q: Find an equation of the tangent plane to the surface z = læ? + 2y² + 2x + 1y +3 at the point (2, 4,…

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Q: Find the equation of the tangent plane to the surface 2² at the point Y= 2x? (0, –1,2) %3D O y- 2z…

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

A:

Q: Find the equation of the tangent plane to the surface z = 9y? – 4x² at the point (-3, –3, 45). e:…

A: Given query is to find equation of the tangent plane.

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2(x – 1)2 +…

A: Equation of tangent plane to the given surface ' z=fx,y' at point x0,y0,z0 is…

Q: Find an equation of the tangent planes to the given surface at the specified point. (a) f(x,y)= 4x…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question.

Q: Find the equation of the tangent plane to the surface z = + y? x2 4 at the point (2, -2, 5) x- 4y -…

A: We have to solve

Q: Find an equation of the plane tangent to the following surface at the given point. 5xy + yz + 8xz -…

A: Equation of tangent plane at (x0,y0,z0) is…

Q: Find an equation of the tangent plane to the surface 2² + 2y? + z? = 175 at the point (5, -5, 10).

A:

Q: Find an equation of the tangent plane to the surface z = 5y – 4x? at the point (4, 2, -44).

A: Given: Equation of surface is z=5y2-4x2 and a point -4, 2, -44. To find: Equation of tangent plane…

Q: Find an equation of the tangent plane to the given surface at the specified point z = √√√xy, (3, 3,…

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Q: s) Find an equation of the tangent plane to the surface z = 2+2x² +5 at the point P(-,1,3). our…

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Q: Find the equation of the plane tangent to the

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)2 +…

A: We have equation of the form     z= f(x, y)  And we have to find equation of tangent plane to the…

Q: Consider the equation of the surface S given by: exyz + x3z3 − 3y4 = 9 An equation for the plane…

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Q: Find the equation of the tangent plane to the given surface at the point P. x2 + y2 + z2 = 9, P =…

A: Concept Used:- For an implicitly defined function f(x, y, z)=0 The equation of the tangent plane to…

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b)…

A: Given: xyz=12 (1,3,4)

Q: Find an equation of the plane tangent to the following surface at the given point. 8xy + yz + 5xz -…

A: We have to find an equation of the plane tangent to the following surfaces fx,y,z=8xy+yz+5xz-56=0 at…

Q: Find the equation of the plane that passes through the point (2, 1, 1) and is tangent to the surface…

A: We have to find the equation of the tangent plane.

Q: An equation of the tangent plane to the surface 2+y at the point p(1, 7, 3) is 2+x

A:

Q: Find an equation of the tangent plane to the surface at the given point. z = x2 + y2 + 4, (1,2, 9)

A: We know that the equation of tangent plane to the curve z=f(x,y) at point (a,b,c) is

Q: Find an equation of the plane tangent to the following surface at the given points. z= In (1 + xy);…

A: Recall: Equation of Tangent plane :  Define a surface explicitly as  z=f(x,y) , we can also define a…

Q: Find the equation of the plane that passes through the point (2, 1, 7) and is tangent to the surface…

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Q: Find an equation of the tangent plane to the surface z = 2x² + 1y² – 1æ – 3y – 1 at the point (5, 3,…

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Q: Find the equation of the plane tangent to the surface z x+y at the point (2, 1, 3). x-1

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Q: 4) Find the equation of the tangent plane to the surface r(u, v) = (u² − v²)i − (3uv)j + (4√u+v)k…

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Q: at (2,-1,12). Find an equation for the tangent plane to the surface z=x -2xy +4y²

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Q: Find the equation of the tangent plane to the surface x?+ Qy?-322=3' at (2-1,1) x²+ 2y 2-322=3'at…

A: Equation of a tangent plane

Q: Find an equation of the tangent plane to the given surface at the specified point. 2x2 + y? – 9y,…

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Q: find parametric equations for the line tangent tothe curve of intersection of the surfaces at the…

A: Given surfaces, x2+2y+2z=4     and   y=1f(x,y,z)=x2+2y+2z-4          and   f(x,y,z)=y-1  And point…

Q: Find an equation of the plane tangent to the following surface at the given point. 2xy + 7yz + 5xz -…

A: We have to find the tangent plane of the given surface with equation  F( x, y, z ) = 2xy + 7yz + 5xz…

Q: Find the equation of the plane tangent of Z= x2+ Y2 to the surface at point P(42 5)

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Q: Find the equation of the tangent plane to the surface z = +y? at the point (2, –2, 5)

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