Calculus Archive: Questions from April 13, 2023
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\[ \left[2\left(\cos 25^{\circ}+i \sin 25^{\circ}\right)\right]\left[5\left(\cos 110^{\circ}+i \sin 110^{\circ}\right)\right] \] (b) \( \frac{12 \operatorname{cis} 16^{\circ}}{\left(3 \operatorname{ci2 answers -
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Calculate \( y^{(k)}(0) \) for \( 0 \leq k \leq 5 \), where \( y=3 x^{4}+a x^{3}+b x^{2}+c x+d \) (with \( \mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d} \) the constants) \[ \begin{array}{l} y^{(0)}(2 answers -
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Calculate \( y^{\prime \prime} \) and \( y^{\prime \prime \prime} \) \[ y=x^{2}(1 x+9.11) \]2 answers -
2.68. Solve (a) \( \frac{d y}{d x}=\frac{x+2 y-4}{y-2 x+3} \), (b) \( \frac{d y}{d x}=\frac{x-y+1}{x-y-1} \).2 answers -
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(a) \( \iint_{R}\left(5 x^{3} y^{2}-y^{2}\right) d A \) where \( R=\{(x, y) \mid 0 \leq x \leq 2,1 \leq y \leq 4\} \)2 answers -
23-32 Encuentre el volumen del sólido dado. 23. Bajo el plano \( x-2 y+z=1 \) y arriba de la región acotada por \( x+y=1 \) y \( x^{2}+y=1 \)2 answers -
Encuentre el volumen del sólido dado. 24. Bajo la superficie \( z=1+x^{2} y^{2} \) y arriba de la región acotada por \( x=y^{2} \) y \( x=4 \)2 answers -
Calculate the following line integrals z C. F⃗ · ⃗d⃗r, where the vector field in two dimensions is given by F⃗ (x, y) = (2xy, x−2y). Furthermore, the curve C is descri
(1) Calcule las siguiente integral de línea \[ \int_{C} \vec{F} \cdot \overrightarrow{d \vec{r}}, \] donde el campo vectorial en dos dimensiones está dador por \( \vec{F}(x, y)= \) \( (2 x y, x-2 y)2 answers -
Given \( f(x, y)=8-8 x^{2}-2 y^{2} \), find \( f(4,5) \). \begin{tabular}{|} \hline-74 \\ -170 \\ -125 \\ -145 \\ \hline-130 \end{tabular}2 answers -
Análisis de sistemas electicos en sistemas ingenieriles Actividad 2, módulo 4 Realiza un reporte con las soluciones de los siguientes problemas. Debes mostrar los códigos generados y explicar clara2 answers -
If \( f(x, y, z)=x^{2}+3 y-2 z^{2}+x y z \), calculate \( f(2,-1,1) \). If \( S(x, y, z)=20 z \cdot \sqrt{36-x^{2}-y^{2}} \), calculate \( S(x, 4,6) \).2 answers -
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(b) f(v) = ln(e^v -8v) (c) y=5^x^2+4 (d) h(a)= (3a -ln a)^5
(b) \( f(v)=\ln \left(c^{*}-8 v\right) \) \( y=5 x^{3}+4 \) \[ h(a)=(3 a-\ln a)^{5} \]0 answers -
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