Solve the problem. Find the equation for the tangent plane to the surface z=-3x2 - Sy2 at the point (2, 1, -20). O -12x - 16y - z = -20 O -12x - 16y - z = -30 2x + y - 20z = 1 O 2x + y - 20z = -17

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 z = 5y – 4x? at the point (-4, 2, -44).

A: The solution is given as

Q: 3. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). y = 2x? - ? O…

A:

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 +…

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

A:

Q: Solve the problem. Find the equation for the tangent plane to the surface z=2x2+10y2 at the point…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Sketch the section of the surface at x = 0. y? - 25z? = 25 12 -12 -8 12 -4 -8 -12 4 -6 -2 -4 4.

A: topic - hyperbola

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: 1. Find an equation of the tangent plane to the given surface at the indicated point. 2² + y? – 3z =…

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

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 for the tangent plane to the surface 2? – ry? = 0 at the point G, 2, 3)

A:

Q: Find the equation of the tangent plane to x² the surface z = + y? 4 - at the point (2, 3, 10) x + 6y…

A: The equation of the tangent plane to a surface f(x,y,z) is given by:

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 4x^2 + 9y^2 − z^2 = 14 at P = (2, 1, 4).

A: Given,4x2+9y2-z2=14at P=(2,1,4)

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: Q3/Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 5(x - 1)² +…

A:

Q: Find an equation of the tangent plane to the surface 3x? + 2xy – 4z2 + 2x – 3y = 0 at the point P(0,…

A:

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

A: Consider the given:…

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 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: 13. Find an equation for the tangent plane and the normal line to the surface x? + 2y? - 3z? = 3, at…

A:

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

A:

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: Find the equation of the tangent plane to the surface of the equation z = x2 + y2 - 2xy on the point…

A: Equation of tangent plane

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: 22 2 Find the equation of the tangent plane to the level surface xy*z? (– 1, – 1, – 2) = 4 at the…

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 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 the equation of the tangent plane to the surface 9x +36y +4z? = 108 at the point (-2,1,-3).…

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. 3.  z = 2x2 + y2…

A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

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

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 the slopes of the surface in the x- and y-directions at the given point.

A: It is given that,z=xy  and point (1,2,2). We have to find the slopes of the surface in the x- and…

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

A:

Q: Find an equation of the tangent plane to the surface z = y? - x² at the point (-4,5,9).

A: Finding partial derivatives with respect to x and y for finding plane equation.

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…

Q: 7.) Find an equation of the tangent plane to the surface, x y(2z-3), at the point P(4,4,2)

A: