xz + 2x²y + y²z³ = 11, P = (2, 1, 1)

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

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Q: Find an equation of the plane tangent to the following surface at the given points. zexy; (1,0,1)…

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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 equation of the tangent plane to the surface 2= 42 + 3y+7zy at the point (0,-1,3).

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Q: 3. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). y = 2x? - ? O…

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

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Q: Find an equation of the tangent plane to the surface given by z² – 2x2 – 2y? = 12 at the point (1,…

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Q: Find an equation of the tangent plane to the surface defined by the equation zf(x, y) + 2³ = 3 at…

A: The given surface is:zf(x, y)+z3=3The point is (-1, 2, 3)

Q: 1. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). * 2r2 „2

A: by using formula of plane

Q: of the tangent plane to the surface z=e-4x/17ln(1y) at the point (-3, 4, 2.808).

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Q: Find an equation of the tangent plane to the given surface at the specified point. 2. (-16, 4, -1)

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Q: z = In (x² + y²) at point Po(1,0, 0).

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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: Find the equation for the tangent plane to the surface at the indicated point. (Hint: Solve for z in…

A: Let's find.

Q: Find an equation of the tangent plane to the given surface at the specified point. = 4(x – 1)2 + 3(y…

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Q: Find an equation of the tangent plane to the given surface at 'the specified point. Z =2x²+y&-5y and…

A: The equation of a tangent plane to the surface f(x,y,z) at the point x0 , y0 , z0 is calculated…

Q: f(7,9) = 7. (1,1,1) zx/2+ y/2+5 -4/8-y/2

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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 given surface at the specified point. z = 2(x – 1)2 +…

A: Equation of tangent plane to the given surface ' z=fx,y' at point x0,y0,z0 is…

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

A: We have to find tangent plane

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 6(x − 1)2 +…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = In(x - 3y),…

A: Here, the surface is: z=ln(x-3y) To find the equation of the tangent plane at the point (7,2,0).…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 5(x - 1)² +…

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Q: Find the equation for the tangent plane to the surface z=-8x2 -4y2  at the point   (2,1,-36)

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = (1, 5, 5)

A: Given: The function is fx,y=yx, 1,5,5. The objective is to find an equation of the tangent plane to…

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

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

A: The equation of tangent plane to the surface z=f(x,y) at any point (a,b,c) is…

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

A: We have equation of the form     z= f(x, y)  And we have to find equation of tangent plane to the…

Q: Find an equation of the tangent plane to the given surface at the specified point. z3 бх2 + у2 - 7у,…

A: Solved below...

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

A: This is a problem of vector calculus.

Q: Find an equation of the plane tangent to the following surface at the given point. z= 3- 3x -y:…

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Q: Find the equation of the tangent plane to the given surface at the point P. x2 + y2 + z2 = 9, P =…

A: Concept Used:- For an implicitly defined function f(x, y, z)=0 The equation of the tangent plane to…

Q: f(z, y) = (z + 2)* - 2(y - 1) - 5. (2,3, 3)

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Q: Find an equation of the plane tangent to the following surface at the given points. 元 z= 4 cos (x-…

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Q: Find an equation of the tangent plane to the surface at the given point. z = x2 + y? + 6, (1, 3, 16)

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Q: An equation of the tangent plane to the surface 2+y at the point p(1, 7, 3) is 2+x

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Q: Find an equation of the tangent plane to the surface at the given point. z = 8 – (3, –4, 4)

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Q: Find an equation of the tangent plane to the given surface at the specified poin 8x2 + y2 - 7y, (1,…

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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 z = 2x² + 1y² – 1æ – 3y – 1 at the point (5, 3,…

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Q: Find an equation of the tangent plane to the given surface at the specified point. = In(x - 3y),…

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Q: Find an equation of the tangent plane to the given surface at the specified point. 3.  z = 2x2 + y2…

A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

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: Find the equation of the tangent plane to the surface z = 4.x*y? + 2y at point (1, -2, 12).

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

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Q: Find an equation of the tangent plane to the given surface at the specified point. 2x2 + y? – 9y,…

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

A: Finding partial derivatives with respect to x and y for finding plane equation.

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

A: Consider the function fx,y,z=x2+y2-z2-18. ∇fx,y,z=fx, fy, fz=2x, 2y, -2z. At 3, 5, -4, ∇f3, 5,…

Q: Find the equation of the tangent plane to the surface z = +y? at the point (2, –2, 5)

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = V xy, (2, 2,…

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