Q.1/ Find the equation of tangent plane and normal line to the surface at the given point: z - e-2ycosx+ e-y Po(0.0.1)

Q: Find the equation of tangent plane to this surface at the point where x :1 and y = -1.

A: Given surface is z=f(x,y)=sin(π (3x+2y)) +x2y2 Equation of tangent plane is given by,…

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

A:

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface.3.…

A: To find equations for the(a) tangent plane and(b) normal line at the point P on the given surface.…

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface.5.…

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

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

A:

Q: Find an equation of the tangent plane to the surface xyz = 10, at the given point (1, 2, 5), and…

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 for the equations for tangent plane and normal line at P,on the given surface 2 х2 — 3ху —у? -2…

A:

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: 1. Find the moment of inertia, with respect to the line x=1, of the area enclosed by the loop of the…

A: Given: Curve y2=x2(1-x)----(i)

Q: Q: Find the equation of the tangent plane to the surface:- z-Ln(xj) -x5J , atthe poit (7,4)

A: The given surface is z=lnx2y-xy=fx,y at the point -12, 4. The equation of tangent plane is…

Q: Q.1/ Find the equation of tangent plane and normal line to the surface at the given point: z =…

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

Q: Find the equations of (1) tangent plane and (2) the normal line to the given surface at the…

A: Equation of tangent plane at x0, y0, z0 is, z-z0=∂z∂xx-x0+∂z∂yy-y0 Equation of a line with normal…

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

A:

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

A:

Q: 5. Find the length of the curve given by y= Vt* – 1 dt and 1<x<2.

A:

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

A:

Q: Q4] Find the equation of the tangent plane and normal line to the surface z + 8 = x e' cos z at…

A:

Q: #3) Find equations of the tangent plane to the given Surface at the specified Põint. X + y +Z=42VZ…

A: Find the equation of the tangent plane.

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan , (7,0, 0)

A:

Q: ind the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the…

A:

Q: 23. Find the normal to the curve x2 + y² = 25 at (4,3). %3D

A: Find the normal to the curve

Q: Find an Equation for the tangent plane and normal line at the points Po on the given surface. x +…

A:

Q: Find an equation of the tangent plane to the surface y ln xz2 = 2, at the given point (e, 2, 1) and…

A: Given: ylnxz2=2 at the given point e,2,1

Q: Find equations for the a) tangent line and b) normal plane to the curve 1 x=t- cost, y = 3+ sin 2t,…

A: x=t-cost, y=3+sin2t, z=1+cos3t We know that rt=xt, yt, zt dxdt=1+sint, dydt=2cos2t, dzdt=-3sin3t At…

Q: 1. Find an equation of the tangent plane to the surface of z = sin(x – 2y) at the point (7.5.0).

A: First partially differentiate the function with respect to x,y and z and then proceed as shown…

Q: 9. Find an equation for the tangent plane and the normal line to the surface xy + yz + zx = 5 at the…

A: f(x,y,z)=xy+yz+zx-5=0,  at  (1,2,1)now we differentiate above equation with respect to x,y,z…

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4,0,4) on the…

A: The above problem is solved.

Q: 3. Find the equation of the tangent plane and the equations of the normal line to the surface z = In…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = 2, (1, 4, 4) 10 z…

A: f(x,y)=y/x

Q: 1. Find the equation of the tangent plane to the surface cosh [exp (x²y)] = Z y? at the point where…

A: We will find out the required equation of tangent plane.

Q: Find an equation of the plane tangent to the following surface at the given point. 1 sin (xyz) =

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 for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the…

A:

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 surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: This question is based on finding equation of tangent plane of function having two variables at a…

Q: b. Find an Equation for the tangent plane and normal line at the points Po on the given surface. x +…

A: Tangent palane and line equation

Q: Q4] Find the equation of the tangent plane and normal line to the surface z + 8 = x ey cos z at…

A:

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: What is the equation of the tangent line and normal line to the curve y = at (4, – 4)? O a. TL: x –…

A: Given- y=-8x To Find- The equation of the normal line and tangent line to the above curve at the…

Q: Find equations for the tangent plane and the normal line at point Po (Xo Yo.Zo) (5,2 on the surface…

A: We know that the equation of the tangent plane is: nxx-x0+nyy-y0+nzz-z0=0 Given:…

Q: Q2: Determine the tangent plane and normal line to the surface x^2+2xy-y^2+z^3=7 at point (1,-1,3)

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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: Q20:- Find the equation of the tangent plane and the normal line to the surface x2 + 4y2 + z2 - 2xy…

A:

Q: AMoving to the next question prevents changes to this answer. estion 1 * at (4, - 4)? What is the…

A:

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

A: GivenSurface F(x,y,z)=x2+y2+z2-3=0Point of…

Q: Determine the equation of the tangent plane and normal line to the surface at the given point.…

A: