Let P be the tangent plane to the surface z=x2+2y2 at the point Q=(1,1,3). Which of the following points also lies in P? Оa. (-1,0,1) O b.(-1,0,-1) O. (1,0,-1) O d. (1,0,1)

Q: Let z = g(x, y) = f(3 cos(xy), y + e#y) provided that f(3, 4) = 5, f1(3,4) = 2, f2(3, 4) = 5. i)…

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Q: If (a,ß.r) is a point at which the surface x2+y2-z-2x+42=0 has a horizontal tangent plane, then Iyl=

A: Horizontal tangent plane

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Q: Let P be the tangent plane to the surface z=2x2+y2 at the point Q=(-1,-1,3). Which of the following…

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Q: Let z = g(x, y) = f(3 cos(ry), y + e²³) provided that f(3,5) = 7, f1(3, 5) = 2, f2(3, 5) = 5. i)…

A: Given: z=g(x,y)=f(3cos(xy),y+exy) f(3,5)=7, f1(3,5)=2, f2(3,5)=5 To find: (i) g1(0,4) (ii) g2(0,4)…

Q: Let z = g(x, y) = f(3 cos(xy), y+ey) provided that f(3,5) = 3, f1(3,5) = 2, f2(3, 5) = 4. i) Find…

A: In this question we have to find following parts.

Q: Let P be the tangent plane to the surface z=x2+2y2 at the point Q=(-1,-1,3). Which of the following…

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Q: An equation of the tangent plane to the surface z = 4xy² + 3x²y² at the point (1, 1, 7) is: Select…

A: z= 4xy2+3x2y2F(x,y,z) =…

Q: Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 5) = 8, f1(3, 5) = 2, f2(3, 5) = 3. %3D i)…

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Q: Let z = g(r, y) = f(3 cos(ry), y + ev) provided that f(3,6) = 3, f1(3,6) = 2, f2(3,6) = 4. %3D i)…

A: Given z=gx,y=f3cosxy,y+exy f3,6=3, f13,6=2, f23,6=4 Let ux,y=3cosxy, vx,y=y+exy

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: Let z = g(x, y) = f(3 cos(xy), y +e²) provided that f(3, 6) = 6, fı(3,6) = 2, f2(3, 6) = 4. %3| %3|…

A: Given: g(x,y)=f3cosxy,y+exy Let gx,y=f(u,v) where u=3cosxy and v=y+exy so g is a function x,y where…

Q: Let P be the tangent plane to the surface z=2x2+y2 at the point Q=(-1,-1,3). Which of the following…

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Q: Find an equation of the tangent plane to the surface z = -! -3x? + 3y – 2x + 2y + 2 at the point (2,…

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Q: Let (S) be the surface given by the following equation. x²+y? = 1+ z?. An equation of the tangent…

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Q: The slope of the tangent line to the curve of intersection of the plane r = zo and the surface z=…

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Q: Let F(x, y, z) Find an equation for the tangent plane to the level surface F(x, Y, z) = 8 (an…

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Q: Let P be the tangent plane to the surface z-x2+2y2 at the point Q=(-1,-1,3). Which of the following…

A: the given surface is  z=x2+2y2 x2+2y2-z=0 f=x2+2y2-z find the gradient  ∇f=∂∂xf∂∂yf∂∂zf…

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: Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3. i) Find…

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Q: 4. Consider the saddle surface r y?- z², find the equation for the tangent plane at the point (0,1,…

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Q: Let z = g(x, y) = f(3 cos(xy), y+ e#y) provided that f(3,6) = 6, f1(3, 6) = 2, f2(3, 6) = 5. i) Find…

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Q: Let P be the tangent plane to the surface z-2x2+y2 at the point Q=(1,1,3). Which of the following…

A: Tangent plane to given surface

Q: Let P be the tangent plane to the surface z=x2+2y2 at the point Q=(-1,-1,3). Which of the following…

A: Given data: The given surface is z=x2+2y2. The point Q=(-1,-1,3).

Q: Find the unit normal to the surface z=2+2z^2-3y^3 at the point (1,-1,7), pointing down with respect…

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Q: If F(x, y, z) = z - f(x, y) and s is the graph of z = f(x, y) and (a, b,c) is a point on the surface…

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Q: Let (S) be the surface given by the following equation. x²+y? = 1+ z?. An equation of the tangent…

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Q: Find all points on the surface xy - z2 = 1 which are closest to that origin. Let x,y,z be the…

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Q: Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface…

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Q: Which of the following is the equation of the tangent plane of the z = 3x^2+x-y^2+y surface at the…

A: Equation of tangent plane problem.....

Q: Consider the surface S: z = 4x2 + 2y2 . An equation of the plane tangent to S at the point P (−1, 2,…

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Q: Let P be the tangent plane to the surface z=x2+2y2 at the point Q=(-1,-1,3). Which of the following…

A: Given, z=x2+2y2 i.e.., fx=x2+2y2-z=0 the point x0,y0,z0=-1,1,3 To find the equation of tangent…

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Q: Give an example of a surface defined by a function F(x, y, z) = k such that the tangent plane to…

A: We need to find the equation of the surface of the curve for the given tangent.

Q: Let P be the tangent plane to the surface z=x2+2y2 at the point Q-(1,1,3). Which of the following…

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Q: Let z = g(x, y) = f(3 cos(xy), y + e=") provided that f(3, 5) = 6, f1(3,5) = 2, f2(3, 5) = 6. i)…

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Q: The tangent plane to the graph of the surface z-In(x<+y) at the point (1,0,0) contains point (3,3,t)…

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Q: Let z = g(x, y) = f(3 cos(xy), y + e=v) provided that f(3,4) = 5, f1(3,4) = 2, f2(3, 4) = 5. i) Find…

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Q: Find the plane tangent to the surface z=x+ y at the point (3,4,25). a. 6x+8y-z=25 b. 6x-8y-z=25 c.…

A: We have to find the plane tangent for the given surface

Q: Give an example of a surface defined by a function F(x, y, z) = k such that the tangent plane to…

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Q: Let (S) be the surface given by the following equation. x²+y? = 1+z². %3D An equation of the tangent…

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Q: The tangent plane to the graph of the surface z=In(x<+y<) at the point (1,0,0) contains point…

A: and point (1,0,0)

Q: Which of the following is the equation of the tangent plane to the surface z=x2 - x+3y² +y at the…

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Q: Let z = g(x, y) = f(3 cos(xy), y + e#") provided that f(3, 6) = 5, f1(3, 6) = 2, f2(3, 6) = 4. i)…

A:

Q: Consider the surface z = 4x2² + y² + 1. An equation for the tangent plane to this surface at the…

A: Given: z=4x2+y2+1

Q: Find an equation of the tangent plane to the surface z=−1x^2+1y^2+3x−1y+3 at the point (5, 5, 13).…

A: Given the equation of surface is:                               z=-x2+y2+3x-y+3 We nee to find the…

Q: Let P be the tangent plane to the surface z=x2+2y2 at the point Q=(-1,-1,3). Which of the following…

A: Which of the following points also lies in P

Q: Let z = g(x, y) = f(3 cos(xy), y + e") provided that f(3, 4) = 7, f1(3, 4) = 2, f2(3, 4) = 3. i)…

A:

Q: The tangent plane to the graph of the surface z=In(x2+y²) at the point (1,0,0) contains point…

A: