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

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

A: Given equation of the surface is,

Q: Find the equation of the tangent plane to the given surface at the specified point. z=xsin(x+y),…

A:

Q: Find an equation of the tangent plane to the surface z = x^3- y^2 + 12x + 2y at the point (1, 2, 5).

A: Given: z = x^3- y^2 + 12x + 2y (1, 2, 5)

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

A:

Q: Find an equation of the tangent plane to the surface given by z² – 2x2 – 2y? = 12 at the point (1,…

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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: Find the equation of the tangent plane at the point (1, 2, 7) to the surface given by x³ sin(z) +…

A: Consider a surface F(x,y,z)=0. Then the equation of the tangent plane to the surface F at the point…

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 an equation of the tangent plane to the surface at the given point. - 2xy + y², (3, 5, 4) eBook…

A:

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 the equation of a tangent plane to the surface of z = eª cos(y) at the point P(0,0, 1).

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = x sin(y – x),…

A: From the given equation: z=xsin(y-x) And Px,y,z=8,8,0 Let, f(x,y,z)=z-xsiny-x As we know that, The…

Q: Find the equation of the tangent plane to the surface - 8x3 + 7y³ + 3xy at the point (2,0, 64).

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 an equation for the tangent plane to the surface z = 4xy® + sin(rx) at the point (1, 1, 4)

A:

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 for the tangent plane to the surface f(x, y) = e^xy + 4x^2 + 4y^2 at the point…

A:

Q: Find the equation for the tangent plane to the surface x-9xyz +y= - 11z at the point (-1,-1,-1). O…

A: The given surface is x2-9xyz+y2=-11z2 and the point is -1,-1,-1.

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

A: We have to find tangent plane

Q: Find an equation of the tangent plane to the surface z = 2a2 + 1y – la – 3y – 1 at the point (5, 3,…

A: Equation of Tangent Plane to the surface F(x, y, z) = 0 at point (x0, y0, z0) is given by ∇F(x0, y0,…

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: 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 an equation of the tangent plane to the surface at the given point.   z= y/1+6x…

A:

Q: Find the angle of inclination of the tangent plane to the surface x2+ y2+ z2 = 14 at the given point…

A: Consider the function fx,y,z=x2+y2+z2-14. Gradient of f can be obtained as follows. ∇fx,y,z=∂∂x,…

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 tangent to the surface of Z= x2+ Y2 at point P(125)

A:

Q: Find an equation for the tangent plane to the surface 4xy6 + sin(rx) Z = at the point (1, 1, 4)

A: We have to find the tangent plane  of z=4xy^6+sin(πx) at (1,1,4)  Find the partial derivative with…

Q: Find an equation of the tangent plane to the given surface at specified point. a) z = e*y +…

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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. f(x,y) =…

A:

Q: Find the equation of the tangent plane to the surface 2 = r - 2r'y+ 2r y at the point where x = 1…

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

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = L, (1, 2, 2)

A: This is a problem of vector calculus.

Q: Find an equation of the plane tangent to the following surface at the given points. z =6 cos (x- y)+…

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 for the tangent plane to the surface z= In (7x + 10y + 1) at the point (0,0,0).

A:

Q: Find the equation of the tangent plane to the surface x^2e^z+xyz+y= 3 at the point (1,2,0)

A: Find the equation of the tangent plane to the surface x^2e^z+xyz+y= 3 at the point (1,2,0)

Q: Find the equation of the plane tangent Z= x2+ Y2 at point P (1,2,5) to the surface

A: Equation of tangent plane on the surface z=f(x,y)  at the point (a,b,c)  is given…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = (xy)^1/2,…

A: We know that tangent plane to the surface 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. = In(x - 3y),…

A:

Q: Find the equation of the tangent plane to the given surface at the point (0,-1,-2). y = L - O + 2z =…

A:

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

A:

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. z = y In(x), (1,…

A:

Q: Find an equation of the plane tangent to the surface f(x, y) = xy² – 5x at the poin (1, 2, –1).

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Find an equation of the tangent plane to the given surface at the specified point. Z=e^x-y,(2,2,1)

A:

Q: Find the equation of the tangent plane to the surface z = 3 e^(x−y) at the point (4, 4, 3)

A: We find the equation of the tangent plane to the surface z = 3ex-y at the point (4, 4, 3).

Q: Find an equation of the tangent plane to the given surface at the specified point. z = V xy, (2, 2,…

A: