nd an equation for the tangent plane to the surface z = f(x,y) = x² + 3xy – y° at the point (5, 1).

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: The equation of tangent plane to the surface f(x, y, z) = x² + y? +z-9 = 0 at the point (1,2, 4) is…

A:

Q: Find an equation for the plane that is tangent to the surface z=ln(x2+y) at the point P(0,1,0).

A: we have to find the equation of the tangent plane

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

A:

Q: Find the point on the surface f(x,y)=x2+y2+xy-6x+8y at which the tangent plane is horizontal.

A: Given that: f(x, y)=x2+y2+xy-6x+8y

Q: (a) Find an equation of the tangent plane to the surface of z = ye(3ry-y²) at (-1, –3, –3). (b)…

A:

Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…

Q: Find the point(s) on the surface at which the tangent plane is horizontal. z = 3x² - y² + 4y ) (x,…

A:

Q: 4. Find an equation of the tangent plane to the surface xyz = sin(x + y + z) at (1, −1,0).

A:

Q: nd an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 4y,…

A: Topic:- application of derivatives

Q: Find the angle of inclination of the tangent plane to the surface x²-2y² + z = 0 at the point…

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 an equation of the tangent plane to the given surface at the specified point. z = y cos(x - y),…

A:

Q: Find the general equation of the tangent plane to the surface x2 + y2 −2xy −x + 3yz = −4 at the…

A:

Q: What is the equation of the tangent plane to the surface y = eº cos (z) at the point (1, e, 0)?

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 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 the point(s) on the surface z = x2 − xy + y2 − 2x − 2y, at which the tangent plane is…

A:

Q: Find the equation of the plane tangent to the surface f(x,y) = x In(x y) at the point (1, e).

A: We will find the equation of tangent plane to the given surface.

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: Q2: A. For the surface f derivative at (1,1 derivative and the line to the surface

A:

Q: 4. Find the equation of the tangent plane to the surface Z = = 5tan(x) – sin(3y) at the point (xoyo)…

A:

Q: Consider the function f(x, y) = Vx² + 2y² + 5 (a) Find an equation for the tangent plane to the…

A:

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 an equation for the plane tangent to the surface e z = x cos(xz) – y at the point (2, 1,0).

A:

Q: Find the point(s) on the surface z = xy + 1/x + 1/y at which the tangent plane is horizontal.

A: Given that: The surface  z = xy+1x +1y  .

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

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y, (6, 0,…

A:

Q: 6. Find an equation of the tangent plane to the surface z = y² – x² at the point (-4, 5, 9).

A: Recall: Equation of the tangent plane to the surface z=f(x,y)  at (x0,y0,z0) is        fxx-x0 +…

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

A: This question is based on 3d geometry.

Q: (b) Find the point that makes the tangent plane to the surface z = x² – xy + y? – 2x + 4y…

A: Find the partial derivatives with respect to x and y and set equal to zero. Solve for x in the…

Q: (5) Find the equation of the tangent plane to z = 1² + xy +3y* at r = 1, y = 1.

A:

Q: Find the point on the surface f(x,y)=x²+y²+xy-17x+9y at which the tangent plane is horizontal.

A:

Q: find an equation for the plane tangent to thesurface z = ƒ(x, y) at the given point. z = ln (x2 +…

A: Given z=ln(x2+y2)

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

A:

Q: Find the point on the surface f(x,y)=x2+y2+xy-26x+29y at which the tangent plane is horizontal.

A: For Given surface f(x,y) The slope of horizontal tangent plane is equal to zero.

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

A:

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2…

A:

Q: Find an equation of the tangent plane to the surface z= z + 2y² at the point P(1, 1, 3). Nind th…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: x² + y² - z² = 9 (u, v) = Determine the tangent plane at (3, 0, 0).

A:

Q: Find an equation of the tangent plane to the surface at the given point. 6. f(x,y) = x² – 2xy + y²,…

A: fx, y=x2-2xy+y2,    1, 2, 1. Partially differentiating with respect to x, we get fxx,…

Q: Find the equation for the tangent plane to the surface z = Vy -x at the point (2,3,1). Use a…

A:

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

A:

Q: Find an equation for the tangent plane of z 3.xy? + y + 2 at the point (-1, 1, 0).

A:

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

A:

Q: Find an equation for the plane tangent to the surface e'z = x cos(xz) – y at the point (2, 1, 0).

A:

Q: 7. Find an equation of the tangent plane to the given surface at the specified point. cos(x –…

A:

Q: Find the equation of the plane tangent to the surface f(x, y) = x In(x y) at the point (1, e).

A:

Q: 10. Find the equation of the tangent plane to the surface z y ln x at (1, 4, 0)

A: Given Data : Surface z=yln(x) To Find: Equation of tangent to the surface at 1,4,0 For a surface S…

Q: Find an equation of the tangent plane to the surface z = xy at (1,2,2).

A: The given surface can be written as F(x, y, z)=0, where F(x, y, z)=xy-z