Other Math Archive: Questions from January 02, 2024
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(a) Differentiate the following with respect to \( x \) (i) \( y=2 x^{4}+3 x^{-2}+9 \) (ii) \( y=5 e^{3 x}-8 e^{-2 x} \) (iii) \( y=6 \sin 3 x-\cos 2 x \) (b) Integrate the following with respect to \1 answer -
Find ( mathbf{a}+mathbf{b}, 2 mathbf{a}+3 mathbf{b},|mathbf{a}| ), and ( |mathbf{a}-mathbf{b}| ). [ mathbf{a}=4 mathbf{i}-5 mathbf{j}+5 mathbf{k}, quad mathbf{b}=2 mathbf{j}-mathbf{k} ] [ mathbf{a}+ma
Find \( \mathbf{a}+\mathbf{b}, 2 \mathbf{a}+3 \mathbf{b},|\mathbf{a}| \), and \( |\mathbf{a}-\mathbf{b}| \) \[ \mathbf{a}=4 \mathbf{i}-5 \mathbf{j}+5 \mathbf{k}, \quad \mathbf{b}=2 \mathbf{j}-\mathbf{1 answer