Find an equation for the plane tangent to the given surface at the specified point. z = v², y = u? + 3v, at (0, 9, 9) Зи,

Q: Find the equation of the tangent plane Pr to the surface S: x2 + y? +z² = 9 at (2, –1, 2)

A: The equation of the tangent plane to the surface f(x, y, z)=0 at a, b, c is defined as: fxa, b,…

Q: 3. cos Tx – x*y + e*z + yz = 4 at point Po(0, 1, 2). -

A: The given surface at the point P0 is    Cos(pix) - x2y +exz + yz = 4

Q: Find the points on the surface 1x? + 3y2 + 5z2 = 1 at which the tangent plane is parallel to the…

A:

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

A: Here To find the equation of the tangent plane to the given surface at specified points,  we will…

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. x = u…

A:

Q: Find an equation of the plane tangent to the following surface at the given points. zexy; (1,0,1)…

A:

Q: find an equation for the plane that is tangent tothe given surface at the given point.11. z = ln (x2…

A: To find an equation for the plane that is tangent to the given surface at the given point. Given…

Q: Find the equation of the tangent plane at the point T(1,1,4) of the sphere (x – 1)2 + (y – 2)² + (z…

A:

Q: find an equation for the plane that is tangent tothe given surface at the given point. z = √(y - x),…

A:

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

A:

Q: 2. For the surface z = In(y+ Vx² + y²). (a) Find an equation of the tangent plane at the point (3,…

A:

Q: Find the equation of the tangent plane to the surface z = at the point (2,-3, 10) O r- 6y – z = 10…

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

Q: Given a surface, ƒ(x,y,z)=15, explain what you would do to find the equation of the tangent plane at…

A: Nothing

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: At which of the points below is the tangent plane to the surface x² – 2y + z + yz = 2 vertical?…

A:

Q: Find an equation for the plane that is tangent to the surface z= Vy - I at the point (2, 3, 1).

A: We have to find partial derivatives first.

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: Identify a generating curve on the XZ-plane for the surface of revolution with equation x? + y2 + z?…

A: Given: Surface of revolution with the equation x2+y2+z2=e2x To find: Identify a generating curve on…

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 the equation of the tangent plane to the sphere x² + y? + z² = 1 at the point (1/ V3, 1/V3,…

A:

Q: Identify a generating curve on the xz-plane for the surface of revolution with equation x2 + y? + 22…

A: Solution :-

Q: Which type of surface does the curve x=t2, y = tsin(t), z=tcos(t) lie on?

A:

Q: Identify a generating curve on the xz-plane for the surface of revolution with equation a² + y? + 2?…

A: Consider the surface of revolution with equation, x2+y2+z2=e2x it is required to find the generating…

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 plane tangent to the following surface at the given points. z= eW; (4,0,1)…

A:

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. x = u…

A:

Q: Find the tangent plane to the surface given by the following pa the point (8,14.2). F (u,v) = (n² +…

A: Solution:- The tangent vectors are:- ru=<2u+2,-2,0>rv=<0,3,6> ruxrv=ijk2u+2-20036…

Q: Find an equation of the tangent plane to the given parametric surface at the specified point.  x = u…

A:

Q: Find an equation of the plane tangent to the following surface at the given point. z = tan'(xy);…

A:

Q: Find the equation of the tangent plane Pr to the surface S:x2 +y? + z2 = 9 at (2,-1, 2)

A: To find :Equation of tangent plane to the surface x2+y2+z2=9 at the point (2,-1,2).

Q: find an equation for the plane that is tangent tothe given surface at the given point. z = 4x2 + y2,…

A: It is given that, z = 4x2 + y2, at the point (1, 1, 5) We have to find the equation of tangent…

Q: Write an equation for the plane tangent to the surface F(x, y, z) = 0 at the point (a, b, c).

A: Given surface is Fx, y, z=0 and the point is a, b, c.

Q: f(z, y) = (z + 2)* - 2(y - 1) - 5. (2,3, 3)

A:

Q: Identify a generating curve on the XZ-plane for the surface of revolution with equation x? + y2 + Z?…

A: Solution-

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

A:

Q: 3. (a) Find the equation of the plane tangent to the surface given by f(x, y) = 2xª+2y^+7xy at the…

A:

Q: Find an equation of the tangent plane to the given surface at specified poir a) z = e*y + yx²e!¬y);…

A: The formula for the tangent plane at the given point x0,y0,z0 is:…

Q: Consider the surface z = 4x2 + y? + 1. An equation for the tangent plane to this surface at the…

A: Let fx,y=z. Differentiate the function f(x,y) partially with respect to x and y, to find fx and fy .…

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 a generating curve on the xz-plane for the surface of revolution with equation x2+ y²+ z²= e2x…

A: The solution is given below

Q: Given a surface, f(x,y,z)=15, explain what you would do to find the equation of the tangent plane at…

A: Procedure to find tangent plane at a point on the surface:

Q: Given the surface z = In(-2x² + 5y² – xy). Find the equation of the tangent plane and the parametric…

A: Surface given z=ln(-2x2+5y2-xy) Point P4,3,0

Q: Find the equation of the tangent plane at the point (-2,1 – 3) to the ellipsoid surface + y? + = 3.

A: Find the equations of the tangent plane and normal line at the point (-2, 1, -3) to the ellipsoid…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x (1, 9, 9) %3D…

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 equation of the tangent plane to the surface determined by a'y + z- 55 = 0 at a = 4, y = 3.…

A:

Q: Find the equation of the tangent plane to the given surface at the point (0,-1,2). y = 2x2 – 2 - O y…

A:

Q: Find an equation of the plane that is normal to the surface Iz + yz? = 2+ yz at the point (2,-1, 1).

A: