Evaluate lim (z,y) → (0,0) 1 - cos(xy) x²y²( −3+ y)

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Q: 8. Let g(r, 9) = (a) Show that g is harmonic in D- {(7,9) : + (y +3)2 < 4}. (b) How can the funetion…

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Q: What is the A B (C) D af - of f (x, y) = tan (x²y³ + 2xy)? dy [ sec 2 (x2y3 + 2xy (2 xy + 2y) 2 [sec…

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Q: For f(x1, x2) = x2 cos x1 find f'(x1, x2), f'(2,7) and df[(2,7); h]. For f(x, y, z) = (x – 2z)e"…

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Q: Let h(x, y) = x5 + y sin²x x² + y² 0, { 25 if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

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Q: = (b) ſ sin (7(x – 2y)²) dA, where T is the triangle bounded by x – 2y T 1, y = −3x and 5y = -x.

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Q: (b) Find lim, 0 xª cos 2.

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Q: If f(x,y) = sin(2x+3y) then f yy

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Q: Suppose f(x, y) = / tan(x) + y and u = (-3,0). Then, Du f(-0.8, 8) =

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