Calculus Archive: Questions from May 14, 2023
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\( \begin{array}{l}f(x, y)=\sqrt{4-4 x^{2}-y^{2}} \\ f(x, y)=y^{2}+1 \\ f(x, y)=\sqrt{4 x^{2}+y^{2}} \\ f(x, y)=e^{-y}\end{array} \)2 answers -
calculate this integral
\( \begin{array}{l}\int_{-1}^{1} \int_{0}^{2}(x+86 y) e^{y^{2}} d y d x= \\ 4 y^{2}+\frac{1376}{3} y^{3} \\\end{array} \) \( \begin{array}{l}\int_{-1}^{1} \int_{0}^{2}(x+86 y) e^{y^{2}} d y d x= \\ 42 answers -
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Please help, i really want to understand this exercise but i don't know were to begin. 1. If you use substitution, indicate the steps to determine 饾憫饾懃, do not skip steps, otherwise the exercise
1) (10 puntos) Determine \( \int \frac{2 d x}{(3-x)^{4}}= \) Si usa sustituci贸n indique los pasos para determinar \( d x \), no omita pasos, si no el ejercicio no se corregir谩. Cuidado si usan pagin2 answers -
2. Determine the volume of revolution of 饾懄 = 饾懃 3, bounded by the 饾懃-axis 饾懃 = 0 and 饾懃 = 2, rotating around the 饾懃-axis.
2) (10 puntos) Determine el volumen de revoluci贸n de \( y=x^{3} \), bordeado por el eje de \( x \) y \( x=0 \) y \( x=2 \), rotando alrededor del eje de \( x \).2 answers -
Find the exact value of the expressions given below. a) \( \log _{2} 2 \cdot \log _{2} 4 \cdot \log _{2} 8 \cdots \log _{2} 2^{10} \) b) \( \log _{2} 4 \cdot \log _{4} 6 \cdot \log _{6} 8 \cdots \log2 answers -
8. Given \( \vec{x}+\vec{y}=-\vec{i}+2 \vec{j}+5 \vec{k} \) and \( \vec{x}-\vec{y}=3 \vec{i}+6 \vec{j}-7 \vec{k} \), determine \( \vec{x} \) and \( \vec{y} \).2 answers -
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Para los siguientes conjuntos de datos (xi,yi) obt茅n las ecuaciones de l铆nea de tendencia y=mx+b, y calcula el error a partir de la y calculada de la funci贸n obtenida x=(1,2,3,4,5,6,7,8), y=(2,4,7,
PARTE 1 Para los siguientes conjuntos de datos (xi,yi) obt茅n las ecuaciones de l铆nea de tendencia \( y=m x+b \), y calcula el error a partir de la y calculada de la funci贸n obtenida \[ \begin{array2 answers -
De la siguiente tabla de valores (n=6) cree dos ecuaciones polin贸micas de grado 3 [f(x) = A1+A2(x)+A3(x*2)+A4(x*3)] para a primera ecuaci贸n usa las n=1,2,3,4 (Para el siguiente ejercicio esta ser谩
PARTE 2 De la siguiente tabla de valores \( (n=6) \) cree dos ecuaciones polin贸micas de grado \( 3\left[f(x)=A 1+A 2(x)+A 3\left(x^{*} 2\right)+A 4\left(x^{*} 3\right)\right] \) para a primera ecuaci0 answers -
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1. Compute the derivative of the following functions. a. y = 鈭歟5x + 3x4 c. y In (cos 鹿(x鲁)) e. y=(1+e*)cosx g. y = cosh鲁 (鈭歺 + ln x) i. y = sinh-1(tanh(x2)) b. y = 2sin (3x) d. y = log (x虏鈭歺
1. Compute the derivative of the following functions. a. \( y=\sqrt{e^{5 x}+3 x^{4}} \) b. \( y=2^{\sin (3 x)} \) c. \( y=\ln \left(\cos ^{-1}\left(x^{3}\right)\right) \) d. \( y=\log \left(x^{2} \sqr2 answers