Find an equation of the tangent plane to the surface at the given point 1, 1 4 z arctan X Find symmetric equations of the normal line to the surface at the given point (1T)/4 Ox-1 1-y = Z- 2. X1 z /4 - 3 y 2 4 z T/4 Ox 1 y-1 = z X y 3 2. Ox y z

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

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Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (5,2,0) on the…

A: The equation of the surface is -cosπx+2x2y+4exz+4yz=105. The function is fx, y,…

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: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (5, 5, 2)…

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Q: Find an equation for the tangent plane to cos(rx) – x²y+ e*z + yz = -4 at the point (0, 1, –6). = 0.…

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Q: Find an equation of the tangent plane to the surface f(x, y) = x2y at the given point (2, 1, 4) and…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) 12x…

A: Given equation of the surface  xyz=12 Point on the surface is 1,3,4 (a) Find equation of tangent…

Q: The normal line at point P(0,a,-a) of the surface given by the equation F(x,y,z) = 3xyz – z' – a' =…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 4,…

A: Let's find.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1,…

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Q: Q3/ find equations for the (a) tangent plane and (b) normal line at the point Po on the given…

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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: b) Find equations for the tangent plane and normal line at the point po on the given surface.…

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Q: 2. Find equations of the normal plane and tangent line to the curve of intersection of the surfaces…

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Q: Find and equation of a) the tangent plane and b) the normal line to the given surface at the…

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Q: 1. Find an equation of the tangent plane to the surface of z = sin(x - 2y) at the point (7,2,0).

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Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 1)…

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Q: Consider the surface x^4+ 3xz + z^2+ cos( πxy ) = -2 and the point P0 ( -1, 1, 2) on that surface.…

A: Given the equation of surface x4+3xz+z2+cosπxy=-2 at point P0-1, 1, 2. The equation of tangent plane…

Q: Find the equation for the tangent plane and the normal line at the point Po(3,3,1) on the surface x…

A: To find an equation for the tangent plane and the normal line at the point (3,3,1).

Q: Find the equations of (i) the tangent plane and (ii) the normal line to the surface z = excos(y) at…

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

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

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…

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Q: b) Find equations for the tangent plane and normal line at the point P-(2, –3,18) on the surface…

A: x2+y-2xy-x+3y-z=-7   Let fx,y,z=x2+y-2xy-x+3y-z+7 and the point is 2,-3,18 Now,…

Q: Find the equation for the tangent plane and the normal line at the point Po(3,2,3) on the surface 2x…

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

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 5, 4) (b)…

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Q: Find an equation of the plane tangent to the following surface at the given points. z=ln(1+xy)​;…

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Q: 4. Let g(x, y) = e"/v, Find an equation for the tangent plane at (x, y) = (2, 1).

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Q: a.find the tangent plane to the implicit surface at the point (0, 1, 1) given ye"* + yz² = 2xy³ + 2…

A: We have Fx,y,z=yexz+yz2−2xy3So,the surface implictly is written as Fx,y,z=2Now…

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: 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: 5 pts Question 1 Determine the equation of the tangent plane and normal line to the surface at the…

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Q: Find the equation for the tangent plane and the normal line at the point Po(2,3,1) on the surface 3x…

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Q: Find an equation of the tangent plane to the given surface   z=ln(x-2y) at point (3,1,0)

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Q: Q5: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given…

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

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Q: Find equations of the normal plane and osculating plane of the curve at the given point. x = sin 2t,…

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Q: The plane y = 1 intersects the surface z = x4 + 6xy - y4 in a certain curve . Find the slope of the…

A: Given :Plane y=1 intersects the surface…

Q: Find an equation of the plane tangent to the following surface at the given points. z= e*y; (6,0,1)…

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Q: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given surface 1)…

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Q: Consider the following. xy + yz + zx = 17, (1, 1, 8) (a) Find an equation of the tangent plane to…

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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: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

A: Let the equation of the surface be, fx,y,z=x2-xyz-165 Consider that fx, fy, and fz denote the…

Q: Find parametric equations of the normal line to x2 the surface z = 4 + y? at the point (2, 3, 10)

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Q: 1. Find the equation of the tangent plane to the surface by rly.v)- cu', vuu+ 2v > at the point (1,…

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

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…