Advanced Math Archive: Questions from October 20, 2022
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11. Solve the initial value problem \( y^{\prime \prime}+y^{\prime}+y=0, y(0)=0, y^{\prime}(0)=1 \).2 answers -
Solve the IVP. \[ y^{\prime \prime}-2 y^{\prime}+2 y=\sin x \quad y\left(\frac{\pi}{2}\right)=0, y^{\prime}\left(\frac{\pi}{2}\right)=-1 \]2 answers -
Find the cross product between the vectors j + 2k and i-2j + 3k
5. Halle el producto cruz entre los vectores \( \mathbf{j}+2 \mathbf{k} \quad \mathbf{y} \mathbf{i}-2 \mathbf{j}+3 \mathbf{k} \)2 answers -
Find the equation of a plane passing through the point (1, 2, -2) and containing the line x = 2t, y = 3-t , z= 1 + 3t
10. Halle la ecuación de un plano que pase por el punto \( (1,2,-2) \) y que contiene a la recta \[ x=2 t, y=3-t, z=1+3 t \]2 answers -
7. Find the parametric equations for the line passing through the points (4, -1, 2) and (1, 1,5)
7. Halle las ecuaciones paramétricas para la recta que pasa por los puntos \( (4,-1,2) \) y \( (1,1,5) \)2 answers -
Solve the IVP. \[ y^{\prime \prime}-2 y^{\prime}+2 y=\sin x \quad y\left(\frac{\pi}{2}\right)=0, y^{\prime}\left(\frac{\pi}{2}\right)=-1 \]2 answers -
(1) Solve the initial value problem \( y^{\prime \prime}+y^{\prime}=2 x-e^{x}, y(0)=0, y^{\prime}(0)=1 \).2 answers -
3. Solve the following Odes (a) \( y^{\prime}+(x+2) y^{2}=0 \) (b) \( x y^{\prime}=\frac{1}{2} y^{2}+y \) (c) \( \frac{1}{x} y y^{\prime}-\sin (x) e^{y}=0 \) (d) \( \sec (y) \cos (x)=\sin (x) \sin (y)2 answers -
Yes α = 16° and β =8°. what is the value of θ ?
Si \( \alpha=16^{\circ} \) y \( \beta=8^{\circ} \cdot \) ¿cuál es el valor de \( \theta \) ?2 answers -
Draw a plane that passes through the point (1, 0, -1)
9. Dibuje un plano que pase por el punto \( (1,0,-1) \)2 answers -
Solve the given initial-value problem. \[ y^{\prime \prime}+4 y=-1, y\left(\frac{\pi}{8}\right)=\frac{3}{4}, y^{\prime}\left(\frac{\pi}{8}\right)=2 \]2 answers -
Solve the boundary value problem \( y^{\prime \prime}+2 y^{\prime}+2 y=0, y(0)=1, y\left(\frac{\pi}{2}\right)=1 \).2 answers -
Number 23 Please
In Exercises 22-26 solve the initial value problem. 22. \( y^{\prime \prime}-7 y^{\prime}+6 y=-e^{x}(17 \cos x-7 \sin x), \quad y(0)=4, y^{\prime}(0)=2 \) 23. \( y^{\prime \prime}-2 y^{\prime}+2 y=-e^2 answers -
Problem 4: Diagonalize the matrices if possible: a) \( \left[\begin{array}{cc}3 & -1 \\ 1 & 5\end{array}\right] \) b) \( \left[\begin{array}{ccc}2 & 2 & -1 \\ 1 & 3 & -1 \\ -1 & -1 & 3\end{array}\righ2 answers -
Number 23 please
In Exercises 22-26 solve the initial value problem. 22. \( y^{\prime \prime}-7 y^{\prime}+6 y=-e^{x}(17 \cos x-7 \sin x), \quad y(0)=4, y^{\prime}(0)=2 \) 23. \( y^{\prime \prime}-2 y^{\prime}+2 y=-e^3 answers -
2 answers
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Encuentre el volumen del solido bajo el plano \( x-2 y+z=1 \) y encima del recinto acotado por la curva 1: \( x+y=1 \) y la curva \( 2: x^{2}+y=1 \). Sugerencia: exprese el plano como una funcion de d0 answers -
2 answers
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Find the coordinates of the terminal point that corresponds to the given real number. Show process.
2. Halle las coordenindas del punto terminal que corresponde al nümero real dido sith usar ealculadora. (a) \( t=-\frac{13 \pi}{4} \) (b) \( t=\frac{33 \pi}{6} \) (c) \( +=\frac{14 \pi}{3} \)2 answers -
Un bloque con peso de 4 lb se fija a un resorte cuya constante es de 2lb/pie. El medio ofrece una fuerza de amortiguamiento que es numéricamente igual a la velocidad instantánea. El bloque es libera
Un bloque con peso de \( 4 \mathrm{lb} \) se fija a un resorte cuya constante es de \( 2 \mathrm{lb} / \mathrm{pie} \). El medio ofrece una fuerza de amortiguamiento que es numéricamente igual a la v0 answers -
study which one of the following arrays are invertible
Estudiar cuales de las siguientes matrices son inversibles: \[ A=\left(\begin{array}{ccc} 1 & -1 & 2 \\ 0 & 1 & 0 \\ 1 & 1 & -1 \end{array}\right), B=\left(\begin{array}{cccc} 1 & -1 & 2 & 0 \\ 1 & 12 answers -
Need help solving #11 Answer should be y = cosh(5x) - cos(4x) Thank you!
Solve the IVP by a CAS, giving a general solution and the particular solution and its graph. 7. \( y^{\prime \prime \prime}+3.2 y^{\prime \prime}+4.81 y^{\prime}=0, \quad y(0)=3.4, \quad y^{\prime}(0)2 answers -
Find the solution \( y(t) \) of the initial value problem \[ y^{\prime \prime}-8 y^{\prime}+16 y=0, \quad y(0)=-1, \quad y^{\prime}(0)=1 \]2 answers -
9. Solve the initial-value problem [10] \[ x \frac{d y}{d x}=y+\sqrt{x^{2}-y^{2}}, \quad y(1)=0 . \] A. \( y=\sqrt{x-1}+\ln (x)-\sin (\pi x) \) B. \( y=\sin (\pi x) \) C. \( y=x \sin (\ln x) \) D. \(2 answers -
Evaluate the double integral \( \iint_{D} f(x, y) d A \) over the region \( D \). \[ f(x, y)=6 x+9 y \text { and } D=\left\{(x, y) \mid 0 \leq x \leq 1, x^{3} \leq y \leq x^{3}+1\right\} \]2 answers -
\[ \text { Min. } z=2 x_{1}+3 x_{2} \] \[ \begin{array}{l} 31 \\ x 1+x_{2}=2 \\ 4 \times 1+6 x_{2} \geqslant 9 \\ x_{1}+x_{2}=0 \end{array} \] La region factible es: Opcion A) La parte roja en la sigu2 answers -
2 answers
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a) The reactions of the supports. (5 points) b) Make diagrams of shear forces and bending moments. (10 points) c) Shear force and maximum bending moment. (5 points) d) Mention the types of bending mom
1. Encontrar lo siguiente: a) Las reacciones de los soportes. (5 pts) b) Realizar diagramas de fuerzas cortantes y momentos flexionantes. (10 pts) c) Fuerza cortante y momento flexionante máximo. (52 answers -
2 answers
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Verify the following expressions: 1. \[ \sum_{n=0}^{\infty} a_{n}(x-1)^{n+1}=\sum_{n=1}^{\infty} a_{n-1}(x-1)^{n} \] 2. \[ \sum_{k=0}^{\infty} a_{k+1} x^{k}+\sum_{k=0}^{\infty} a_{k} x^{k+1}=a_{1}+\su2 answers -
Is this ODE exact? \[ \left(3 x^{2}-4 y^{3}\right) d x+\left(y-12 x y^{2}\right) d y=0 \] Find an implicit solution: \( F(x, y)=C \)2 answers -
2 answers