Find the first and second partial derivatives of f(r, y) sin ) Anw6ry Find the e

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Find the first and second partial derivatives of f(r, y) sin ) Anw6ry Find the equation of the tangent plane and equation of the normal line to the surface 2+2y2 3z2 3 at the point (2 1, 1) Answer: Tangent line: 4a 2) 4(y + 1) 6(z 1) = 0. Normal line x(t) = +t Use the chain rule to find d; and-forz 4r2 + r3y if z = s+ 2t and y st2 at the point s = 2 Os Answer: TBA Find the linear approximation of the function f(r, y)Vat the point (0,0) and use it to appoximate f(0.1, 02) Find the directional derivative of the function f(, y)e at the point 2 0) in the direcion of 2, 3 Answer:4 V13 Find the maxinmum rate of change of f(r, y)y v at the point (2, 1). In what direction does it occur? Answer: Max rate of change is v/3625 in the direction Find the local maximum and minimum values and saddle points of the function f(z, y) = ry(1 z y) Answer: Local max at the point (, saddle points at (0,0).(1, 0). (0, 1).

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