and fy = 3. The equation of the tangent plane to the surface given by z = f(x, y) at the point (xo, yo) is given by Je L(x, y) = f(xo, yo) +f.(xo, yo)(x – xo) +f,(xo, yo)(y – yo) where f. = af and af dx Surtace Tangernt ple Lnear apormanon Determine L(x, y) for the surface f(x, y) = tan-(x +4y) at the point (xo, yo) = (1,0) (Calculator set to radians and use 2 decimal point accuracy).

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…

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: Find the tangent plane to the graph of f(x, y) = x² + y² + 4x - 2y +1 at the point (0,0,1).

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Q: Find an equation for the tangent plane to the surface 2? – ry? = 0 at the point G, 2, 3)

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Q: Let f(x, y) = 5ex - Y. Find the equation for the tangent plane to the graph of f at the point (5,…

A: Given: fx, y=5ex-y. To Find: Equation of tangent plane to the graph of f at the point 5, 5.

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: GD and GF are common external tangents with points of tangency at D, C, F and E. Why is AGBF AGAE?…

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Q: 2. Find the points of contact of the two tangents to the curve, 6y=2x³+9x³-12x+2, parallel to the…

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Q: Find the tangent plane to the equation z = 6y cos(4x – 2y) at the point (2,4,24) Z =

A: It is given that z=6ycos4x-2y and the point is 2,4,24. Recall the fact that if the equation of the…

Q: tangent plane

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Q: Find equations for the a) tangent line and b) normal plane to the curve made by the intersection of…

A: Given The given surfaces are 3x2y+y2z=-2 and 2xz-x2y=3.  The given point is 1,-1,1.

Q: Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Find an equation for the tangent plane to the surface x = u² – v², y = u + v, 2 = u² + 4v at (-},2).

A: We have r(u,v) = (u2-v2)i + (u+v)j + (u2+4v)k

Q: Find the tangent plane to the equation z = 5y cos(4x - 6y) at the point (6, 4, 20). z =

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