Calculus Archive: Questions from May 25, 2023
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1. Use derivación implicita para encontrar \( \frac{d y}{d x} \) en términos de \( x \), si \( x y=2 \) A. \( \frac{d y}{d x}=-\frac{2}{x^{2}} \) B. \( \frac{d y}{d x}=-\frac{2}{x} \) C. \( \frac{d2 answers -
Use derivación implicita para encontrar \( \frac{d y}{d x} \) en términos de \( x \), si \( x \sin y=y \) A. \( \frac{d y}{d x}=-\frac{\sin y}{x \cos y} \) B. \( \frac{d y}{d x}=\frac{\sin y}{1-x \c2 answers -
(8 puntos) Sea \( \Omega \) la región acotada por las gráficas de \[ y=2 x+1 \quad x=0 \quad \text { y } \quad y=7 . \] Encuentre el volumen del sólido que se obtiene al girar la región \( \Omega2 answers -
Evaluate f cos³x(sin x) dx (sin a) [sine] + C (sin x)5/2 - (sin x) 5/2 + C (sin x) [-sin² x] + C (sin x)2/5 + sin x + C
\( \begin{array}{l}\text { Evaluate } \int \cos ^{3} x(\sin x)^{\frac{1}{2}} d x \\ \qquad \begin{array}{l}(\sin x)^{\frac{3}{2}}\left[\frac{2}{3}-\frac{2}{7} \sin x\right]+C \\ \frac{2}{7}(\sin x)^{52 answers -
1. In Problems 1-28, differentiate the functions. 1. \( y=5 e^{x} \) 2. \( y=\frac{a e^{x}}{b} \) 3. \( y=e^{2 x^{2}+3} \) 4. \( y=e^{2 x^{2}+5} \) 5. \( y=e^{9-5 x} \) 6. \( f(q)=e^{-q^{3}+6 q-1} \)2 answers -
1. In Problems 1-28, differentiate the functions. 1. \( y=5 e^{x} \) 2. \( y=\frac{a e^{x}}{b} \) 3. \( y=e^{2 x^{2}+3} \) 4. \( y=e^{2 x^{2}+5} \) 5. \( y=e^{9-5 x} \) 6. \( f(q)=e^{-q^{3}+6 q-1} \)2 answers -
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