Calculus Archive: Questions from December 30, 2023
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Find ( rac{d y}{d x} ) if ( y= an ^{-1}left(sqrt{x^{3}} ight) ).
fride \( \frac{d v}{d x} \) if \( y=\tan ^{-1}\left(\sqrt{\left.x^{3}\right)}\right. \) \( \frac{d y}{d x} \) if \( y=\tan ^{-1}\left(\sqrt{x^{3}}\right) \).1 answer -
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Evaluate \( \int_{C} \nabla f \cdot d \mathbf{r} \), where \[ f(x, y, z)=x y^{2} z+x^{2}, \quad x=t^{2}, \quad y=e^{t^{2}-1}, \quad z=t+1, \quad-1 \leq t \leq 1 \]1 answer -
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