Let P be the tangent plane to the surface z-2x2+y2 at the point Q=(1,1,3). Which of the following points also lies in P? O a. (1,-2,1) O b. (1,-2,-1) O (1.-2.3) O d.(1,-2,-3)

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

A: As we know that; The equation of the tangent plane: nxx-x0+nyy-y0+nzz-z0=0 And The normal vector at…

Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

A: It is a 3D and we have to draw in a sheet which is 2D. I is a tough task but I will try to draw it…

Q: Which of the following planes is tangent to the sphere x² + y + z' = 17 at the point (2, -2, 3)? %3D…

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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(xy), y + e#v) provided that f(3,5) = 4, f1(3, 5) = 2, f2(3, 5) = 4. i) Find…

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Q: An equation for the tangent plane to the surface : = (xty at the point P(1, 1, 4) is a) 8x + 8y -: =…

A: Equation of a tangent to the surface z=f(x,y) at point (a,b,f(a,b)) is given by…

Q: At what points does the curve r(t)=(t,t,14t) intersect the surface z=x2+3y2?

A: Given: rt=t,t,14t, z=x2+3y2 for finding intersection point of curve and surface we put point t,t,14t…

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: If f(x, y, z) = V3x + y² – 2z, then find the slope of the surface f in the r- direction at the point…

A: Final answer is 3/2

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: Find an equation of the tangent plane to the surface z = x2 + y2 + 3 at the given point( 2, 1, 8).

A: Known fact: Let F(x,y,z) be the surface which is differentiable at P(x0, y0, z0). then the equation…

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

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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…

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Q: Find an equation of the tangent planes to the given surface at the specified point. (a) f(x,y)= 4x…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question.

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(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=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 an equation of the plane tangent to the surface z = x2 - y at the point (2, 1, 3). O A. 4x - 2y…

A: Find an equation of the plane tangent to the surface z= x2 - y2 at the point (2,1,3). Here i…

Q: Find the equation of the tangent plane for the surface z = xy at the point (-1,2,-2) O z=x-2y+2…

A: The equation of tangent plane for the surface z =f(x,y ) at point (m,n,f(m,n)) is given as:

Q: Find the tangent plane to the surface z = 9 – x* – y? at the point (1, -3, –1).

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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: Let a, b and c be the last three digits of your student ID and let d=max(a,b,c). How many points are…

A: we have surface  z=6x2+y2 and plane 6x+y+z=0lets denote the surface equation as f(x,y,z)=z-6x2-y2and…

Q: Show that the surfaces x2 + 2y2 + 3z2 = 3,   x2 + y2 + z2 + 6x − 10y + 14 = 0, are tangent to each…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Locate and classify the stationary points on the surface z=xy2-2xy-2x2-3x, remembering that  x, y ,…

A: Solving for stationary points of given function using partial derivatives

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: Let z = g(x, y) = f(3 cos(ry), y + e*v) provided that f(3, 4) = 7, f1(3, 4) = 2, f2(3, 4) = 3. %3D…

A: let z=gx,y=f3cosxy, y+exy provided that f3,4=7 , f13,4=2 , f23,4=3 (i) find g10,3 (ii) find g20,3

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 planes to a surface are planes that just touch the surface at the point and are “parallel”…

Q: If the tangent plane to the surface z = +y is parallel to the plane r+ 2y-z 0 at the point (1, a,…

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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…

Q: Find the equation for the tangent plane to the surface z = x2 at the point P (1,1,1). Select the…

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

A: We use partial derivatives and use formula for tangent plane for required solution. For complete…

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

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

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Q: (a) Find max, min or saddle points for the surface Z= x* - 3xy + 5x

A: We have to find first and second order partial derivatives.

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: We have to find the points on tangent plane .

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: 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: 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: 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: 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: