Other Math Archive: Questions from October 10, 2022
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Let \( Q(x, y) \) be the statement " \( 2 x+y=5 \) ". If the universe of discourse for both variables consists of all integers, what are the truth values? 1. \( \exists y \forall x Q(x, y) \) 2. \( \e2 answers -
Solve the given differential equation. \[ \begin{array}{r} 9 y^{\prime \prime}+30 y^{\prime}+25 y=0 \\ y=\left(c_{1}+c_{2} x\right) e^{5 x / 3} \\ y=\left(c_{1}+c_{2} x\right) e^{-5 x / 3} \\ y=c^{-52 answers -
Hi, i can't put this on solver excel, i really need to do it, i appreciate any help.
Función objetivo: \[ \begin{aligned} Z \min =250000 &\left(x_{1}+x_{2}+x_{3}+x_{4}+x_{5}+x_{6}\right)+350000\left(55+0.85\left(55+x_{1}\right.\right.\\ &+0.85\left(0.85\left(55+x_{1}\right)+x_{2}\rig0 answers -
Solve the following Cauchy-Euler equations:
Resuelva las siguientes ecuaciones de Cauchy- Euler: 1. \( x^{2} y^{\prime \prime}-2 y=0 \) 2. \( x^{2} y^{\prime \prime}+x y^{\prime}+4 y=0 \) 3. \( 3 x^{2} y^{\prime \prime}+6 x y^{\prime}+y=0 \) 4.2 answers -
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Solve \[ \begin{array}{l} y^{\prime \prime}(t)+16 y^{\prime}(t)+65 y(t)=6 e^{-8 t} \cos t \\ y(t)=3 t e^{-8 t} \sin t-2 t e^{-8 t} \cos t+c_{1} e^{-8 t} \cos t+c_{2} e^{-8 t} \sin t \\ y(t)=-3 t e^{-82 answers -
prove the following properties of Boolean algebras . give a reason for each step please do ONLY A , C , E
6. Prove the following properties of Boolean algebras. Give a reason for each step. ㅊ. \( x+y^{\prime}=x+\left(x^{\prime} \cdot y+x \cdot y\right)^{\prime} \) b. \( [(x \cdot y) \cdot z]+(y \cdot z)2 answers