дz (B)If Z = f(x, y), x= s² - t², y = 2st. Prove that s მs 2 (s² + t²) of əx

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Q: Prove that bx q = b. ((Vt) - Vt), where q = V x t

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Q: d) Let g(x,y) = (3x + y)2(2y + 1) and h(x, y) = 6y2(2x + y) h i) Find дх’ ду’ дх’ ду

A: The given functions are  and

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Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

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Q: -3-X, -3y, -3z]

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Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

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Q: If r(t) = ⟨1, t2, t-2⟩, then r' (t) equals (a) ⟨1, 2t, -2t-1⟩.          (b) ⟨0, 2t, -2t-1⟩.      (c)…

A: Given that, rt=1, t2, t-2