Question Four (a) Let f(z, y) = r" – 3ry + 18y, where 3r*y-y-6r = 0. Prove that f(r, y) has extrema at the points z = y = ±V3 (b) If = 1, show that

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Q: 5. Let f(x, y) = x+4 cos y. (a) Evaluate f (0, z/3), f.(0, z /3) and f,(0, x/3). (b) Use the results…

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Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

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Q: iv is analytic = -11..

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Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

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