Find the equation of the plane tangent to the following surface at the given points. x +y -z - 57 = 0; (7,3,1) and (- 3, – 7,1) 2 The equation of the tangent plane at (7,3,1) is = 0.

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: d) 1. Find an equation of the tangent plane to the surface at the given point and 2. Find a set of…

A:

Q: Find an equation of the tangent plane to the surface g(x, y) = x2 + y2, at the given point (1, −1,…

A: We have given the surface; g(x, y) = x2 + y2 and the point (1, −1, 2)

Q: Find an equation of the plane tangent to the following surface at the given point. z=6-3x- 3y; (2,3,…

A:

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 an equation of the plane tangent to the following surface at the given point. 5xy + 7yz + 6xz -…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2, (5,7,4).

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

A:

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

A:

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 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…

A:

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: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y? + z? = 14, (1,…

A:

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

A: Solving tangent equation

Q: Find the equation for the tangent plane to the surface at the indicated point. (Hint: Solve for z in…

A: Let's find.

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

A:

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

A:

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

A:

Q: Find an equation for the plane that is tangent to the given surface at the given point. z= vy-x…

A: Here, the given surface is: z=y-x Now, ∂z∂x=12y-x(-1)=-12y-x∂z∂y=12y-x(1)=12y-x Now, at (0,4,2):…

Q: Find an equation of the plane tangent to the following surface at the given point. z= 6- 3x - 2y;…

A: The equation of tangent plane to the surface z=fx,y at the point a,b,fb can be calculated using the…

Q: Find the equation of the tangent plane to the surface z = 4 +y? at the point (2,-3, 10) Ox+ 4y- z =…

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 plane tangent to the following surface at the given points. z = In (1 + xy);…

A: Given that  z=ln(1+xy) Find the tangent plane at the given points

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: (a) Find an equation of the tangent plane to the surface at the given point. X +y +z = 11, (2, 5, 4)…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point. f(x, y) =…

Q: x2 + 4 Find the equation of the tangent plane to the surface z= 2 at (4,3,-3) | 9

A: The equation of the tangent plane to the surface at (4,3,-3) is, 6x + 2y + 3z = 7  The detailed…

Q: Find an equation for the tangent plane to the surface 2° – ay? = 0 at the point (27, 1, 3).

A:

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

A:

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 plane tangent to the following surface at the given points. z = In (1 + xy);…

A:

Q: Find the equation of the plane tangent to the following surface at the given points. 2 x +y -z - 52…

A: See the details solution in below

Q: Find the equation of the plane tangent to the

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A:

Q: Find an equation of the plane tangent to the following surface at the given point. z= 3- 3x -y:…

A:

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 an equation of the plane tangent to the following surface at the given points. 元 z= 4 cos (x-…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y2,…

A:

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: Find an equation of the tangent plane to the surface at the given point. z = x2 + y? + 6, (1, 3, 16)

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 tangent plane to the given surface at the specified point. z = 8x2 + y? –…

A: Given equation of surface  z= 8x2+y2-7 y for the function f(x,y)= 8x2+y2-7 y  ∂f∂x=16x ;…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y2,…

A:

Q: Find an equation of the plane tangent to the following surface at the given points. z= e*y; (6,0,1)…

A:

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

A:

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

A:

Q: Consider the equation of the surface S given by x2z2 + xy + yz = 7. An equation for the plane…

A: First differentiate at given point then use equation of tangent plane

Q: nsider the equation of the surface S given by 2x. + 3XYP + y2 wher mber and ß is an impair number ,…

A: In this question, the concept of the derivative is applied to find out the tangent to the plane.…

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…