Calculus Archive: Questions from January 10, 2024
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7. Express the iterated triple integral \[ \int_{-\sqrt{2}}^{\sqrt{2}} \int_{-\sqrt{2-x^{2}}}^{\sqrt{2-x^{2}}} \int_{\sqrt{x^{2}+y^{2}}}^{\sqrt{4-x^{2}-y^{2}}}\left(x^{2}+y^{2}+z^{2}\right)^{\frac{3}{1 answer -
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3) If ( g(x)=2 pi^{3} ), then ( g^{prime}(x)= ) A) ( 6 x ) C) 0 E) ( 6 pi^{2} ) B) ( 6 pi^{2} x ) D) ( 6 pi )
3) If \( g(x)=2 \pi^{3} \), then \( g^{\prime}(x)= \) A) \( 6 x \) C) 0 E) \( 6 \pi^{2} \) B) \( 6 \pi^{2} x \) D) \( 6 \pi \)1 answer -
6) If ( y=rac{cos ^{2} x}{1+sin x} ), then ( rac{d y}{d x}= ) A) ( cos x ) C) ( 2 sin x ) E) ( -sin x ) B) ( -2 sin x ) D) ( -cos x )
6) If \( y=\frac{\cos ^{2} x}{1+\sin x} \), then \( \frac{d y}{d x}= \) A) \( \cos x \) C) \( 2 \sin x \) E) \( -\sin x \) B) \( -2 \sin x \) D) \( -\cos x \)1 answer -
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