Calculus Archive: Questions from July 30, 2023
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Evaluate \( \iiint_{\mathcal{B}} f(x, y, z) d V \) for the specified function \( f \) and \( \mathcal{B} \) : \[ \begin{array}{l} \qquad f(x, y, z)=\frac{z}{x} \quad 3 \leq x \leq 6,0 \leq y \leq 4,02 answers -
Evaluate \( \iiint_{E}(x+y-3 z) d V \) where \( E=\left\{(x, y, z) \mid-5 \leq y \leq 0,0 \leq x \leq y, 0 \leq z \leq x+y^{2}\right\} \)2 answers -
Find \( \iint_{D}(2 x+4 y) d A \) where \( D=\left\{(x, y) \mid x^{2}+y^{2} \leq 25, x \geq 0\right\} \)2 answers -
Evaluate \( \int_{0}^{\pi / 6} \int_{0}^{1} \int_{-2}^{3} y \sin z d x d y d z \) Ans: \( \frac{5(2-\sqrt{3})}{4} \)2 answers -
can you please help me solve these
\( \begin{array}{l}\sum_{k=1}^{\infty} k e^{-k^{2}} \\ \sum_{k=1}^{\infty}(-1)^{k} \frac{k^{3}}{k^{4}+1} \\ \sum_{k=1}^{\infty} \frac{(2)^{k}}{k !} \\ \sum_{k=1}^{\infty} \frac{(1)^{k}}{2+3^{k}} \\ \s0 answers -
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Encuentra los extremos absolutos de la función en el intervalo cerrado. F ( X ) = X 3 − 3 X , [0, 4]2 answers
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Derivar y simplificar c,d y e C) 4x²(cos(3x))³ D)2x²e-x²+ln3x²+5/√x-7x= E)f(x,y)=3x²-2y²/x²+y²=
c) \[ \begin{aligned} 4 x^{2}(\cos (3 x))^{3}= & 8 x(\cos (3 x)) \\ & 8 x\left(\cos ^{3} 3 x-\right. \\ & f(x)=4 x \cos =4 \end{aligned} \] d) \[ \begin{array}{r} 2 x^{2} e^{-x^{2}}+\ln 3 x^{2}+\frac{2 answers -
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Solve the initial value problem \[ y^{\prime \prime}-2 y^{\prime}+y=2 x e^{2 x}+6 e^{x}, \quad y(0)=1, \quad y^{\prime}(0)=0 \]2 answers -
Solve the initial value problem \[ y^{\prime \prime}-y^{\prime}-6 y=8 e^{2 x}-5 e^{3 x}, \quad y(0)=3, \quad y^{\prime}(0)=5 \]2 answers -
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¿Qué diferencias encuentras entre las funciones reales de varias variables y las funciones vectoriales? ¿Los métodos de graficación para curvas de nivel te parecen intuitivos? ¿Cuáles serían l
3.1. ¿Qué diferencias encuentras entre las funciones reales de varias variables y funciones vectoriales? 3.2. ¿Los métodos de graficación para curvas de nivel te parecen intuitivos? 3.3. ¿Cuále2 answers -
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Find y' and y''. y = 1 /(4 + tan(x))^2
Find \( y^{\prime} \) and \( y^{\prime \prime} \). \[ y^{\prime}=-\frac{2 \sec ^{2}(x)}{(4+\tan (x))^{3}} \] \[ y^{\prime \prime}= \]2 answers -
a and b please and thank you!!
Solve the given initial-value problems. (a) \( y^{\prime \prime \prime}+2 y^{\prime \prime}-5 y^{\prime} \quad 6 y=0, \quad y(0)=0, y^{\prime}(0)=0, y^{\prime \prime}(0)=1 \) (b) \( y^{\prime \prime \2 answers -
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