Get questions and answers for Advanced Math

Advanced Math Archive: Questions from March 02, 2023

• solve the matrices
  \[ A=\left[\begin{array}{ccc} 3 & 4 & 2 \\ -2 & 3 & 0 \\ 3 & -1 & 2 \end{array}\right] \quad B=\left[\begin{array}{ccc} 1 & 1 & 2 \\ -2 & 3 & 0 \\ 3 & 0 & 2 \end{array}\right] \quad C=\left[\begin{arr
  2 answers

• 

  
  4. Solve the initial value problem. \[ (2 x \tan y+5) d x+\left(x^{2} \sec ^{2} y\right) d y=0, y\left(\frac{1}{2}\right)=\frac{\pi}{4} \]
  2 answers
• 
  
  

  

  
  Which system is the only inconsistent system? \[ \begin{array}{l} y=2 x+3 \\ y=2 x-1 \\ y=x+3 \\ y=-x+7 \\ y=x+3 \\ y=2 x+4 \\ y=x-5 \\ 2 y=2 x-10 \end{array} \]
  2 answers
• 
  
  

  
  

  
  6. Solve the equation \( y^{\prime}+y \sin x=e^{\cos x} \).
  2 answers
• mo se cual es el resulrado , estoy confundido
  Basis \( \mathscr{B} \) for \( \mathbb{R}^{3} \) contains the vectors \( \left[\begin{array}{l}1 \\ 6 \\ 1\end{array}\right],\left[\begin{array}{c}-1 \\ -3 \\ -10\end{array}\right] \), and \( \left[\b
  2 answers
• 
  

  
  Solve the IVP: 5. \( y^{\prime \prime}+y=0 ; y\left(\frac{\pi}{3}\right)=0 ; y^{\prime}\left(\frac{\pi}{3}\right)=2 \).
  2 answers
• 
  

  
  \( \begin{array}{l}2^{4 x}=4^{x+3} \\ 25^{x-1}=5^{3 x} \\ 3^{w+1}=9^{w-1}\end{array} \)
  2 answers
• do ally hree questions please
  \( \begin{array}{l}2 y^{\prime \prime}-y^{\prime}-10 y=0 \\ y(x)=c_{1} e^{2 x}+c_{2} e^{-\frac{3}{2} x} \\ y(x)=c_{1} e^{-2 x}+c_{2} e^{\frac{5}{2} x} \\ y(x)=c_{1} \cos (2 x)+c_{2} \sin \left(\frac{5
  2 answers
• do these 2 problems pls
  \( 7.5 \) points Solve: \( y^{\prime \prime}+5 y^{\prime}+6 y=0 \) subject to: \( y(0)=2, y^{\prime}(0)=3 \) \[ \begin{array}{l} y(x)=-7 e^{-3 x}+9 e^{-2 x} \\ y(x)=-e^{3 x}+3 e^{2 x} \\ y(x)=\frac{1}
  2 answers
• 
  

  

  
  Solve: \( y^{\prime \prime}-2 y^{\prime}+5 y=0 \) subject to: \( y(0)=-2, y^{\prime}(0)=1 \) \( y(x)=e^{2 x}[5 \sin (x)-2 \cos (x)] \) \( y(x)=e^{2 x} x\left[\frac{3}{2} \sin (x)-2 \cos (x)\right] \)
  2 answers
• 
  

  
  2. Empleando climinación de Gauss-Jordan: a. Encuentre la matriz escalonada reducida y la solución del sistema. b. Determine qué tipo solución tiene el sistema de ecuaciones dado argumentando apro
  2 answers
• 
  

  
  

  
  Solve: \( y^{\prime \prime}+5 y^{\prime}+6 y=0 \) subject to: \( y(0)=2, y^{\prime}(0)=3 \) \( y(x)=-7 e^{-3 x}+9 e^{-2 x} \) \( y(x)=-e^{3 x}+3 e^{2 x} \) \( y(x)=\frac{1}{5} e^{-3 x}+\frac{9}{5} e^{
  2 answers
• In problems 21-27, solve the given initial value problem. 26.) y" -2y' +y =0; y(0) =1, y'(0) =-2 #26 please
  24. \( y^{\prime \prime}+9 y=0 ; \quad y(0)=1, \quad y^{\prime}(0)=1 \) 25. \( y^{\prime \prime}-2 y^{\prime}+2 y=0 ; \quad y(\pi)=e^{\pi}, \quad y^{\prime}(\pi)=0 \) 26. \( y^{\prime \prime}-2 y^{\pr
  0 answers
• 
  

  
  En un estudio de penetración del hielo en el suelo se encontró que la temperatura \( T \) (medida en \( { }^{\circ} C \) ) en el tiempo \( t \) (medido en días) a una profundidad \( x \) (medida en
  2 answers
• 
  

  
  2. La altura \( h \) de las olas depende de la velocidad \( v \) del viento y del tiempo \( t \) que el viento haya estado soplando a esa velocidad. Es decir, \( h=f(v, t) \). ¿Cuál es el significad
  2 answers
• 
  

  
  3. Find and sketch the domain of the function. (a) \( f(x, y)=\sqrt[4]{x-3 y} \) (b) \( g(x, y)=\frac{\ln (2-x)}{1-x^{2}-y^{2}} \) (c) \( f(x, y)=\sin ^{-1}(x+y) \) (d) \( f(x, y, z)=\ln \left(16-4 x^
  2 answers
• Solve the initial value problem (a) y′′ −16y = 0, y(0) = 3, y′(0) = 4 (b) y′′ + 10y′ + 25y = 0, y(0) = −5, y′(0) = 10 (c) y′′ −4y′ + 13y = 0, y(0) = −1, y′(0) = 7
  2 answers
• Solve the given initial-value problem. 5y'' + y' = −4x, y(0) = 0, y'(0) = −25
  2 answers
• 
  

  
  Maximum of \( f(x, y, z)=x y z^{2} \), subject to \( x+y+z=6 \) \( f(3 / 2,3 / 2,3)=81 / 4=20.25 \)
  3 answers