6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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A: Here, r(t)=(-t+4)i+(2t)j+(t2)k⇒r'(t)=(-1)i+(2)j+(2t)k⇒r''(t)=(0)i+(0)j+(2)kSo,r'(-1)=-1,2,-2 &…

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Q: Given y = u28 and u = 5– 3x?, find dy/dx. A. = 168x(5 - 3x?)27 D. dx = -28x(5 – 3x²)²7 dx dy В. dx…

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A: This is a problem related to limit and continuity part. Please follow the procedure given below.