Algebra Archive: Questions from August 04, 2022
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Q3: (1\% Marks) If \( \bar{f}=(x+1) \sqrt{x^{2}+y} i+\frac{z}{y} \tan ^{-1}(3 x-y) j \) and \( \bar{g}=\frac{x+y}{\ln (x y+2)} i+z\left(y-x^{2}\right) j+\sin ^{2} z y^{2} k \) find: \( \bar{f} \times1 answer -
Which of the following maps from \( \mathbb{R}^{3} \) to \( \mathbb{R}^{3} \) are not linear? \[ f(x, y, z)=(x, y, z+1) . \] \[ f(x, y, z)=\left(x^{2}, y, z\right) \] \[ f(x, y, z)=(z, x, y) \] \[ f(x3 answers -
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