If the gradient of f is Vf = x? j – z i+ 3yx k and the point P = (-4, 3, 1) lies on the level surface f(x, y, z) 0, find an equation for the tangent plane to the surface at the point P.

Q: Find an equation for the tangent plane to the surface 22 – xy? = 0 at the point (1, 3, 3).

A: Given that At point (1,3,3) Take, Now to find the divergence of f, The divergence at point…

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Q: a) Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y - 2y³ In…

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Q: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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Q: Find the equation for the tangent plane to the surface z = - 9x - 7y at the point (2, 1, - 43). O A.…

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Q: Find an equation of the plane tangent to the following surface at the given point yz e x2 - 6 = 0;…

A: Suppose we have equation of surface is then equation of tangent plane at point   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: Note that 2023 = 7 x 17². (a). Consider the additive group Z/2023Z. How many elements does this…

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Q: Find the gradient of f (x, y) = 2xy² – 3x°y.

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Q: Find the equation of the tangent plane to the surface -2² at the point y = 2x2 – (0, –1,2)

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