Advanced Math Archive: Questions from November 07, 2022
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2 answers
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2 answers
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NEED the problem drawing
A millimeter is included, this is a graph paper whose smallest squares measure one millimeter, that's why the name of Millimeter Paper is a page of \( 8.5^{\prime \prime} \times 11^{\prime \prime} \),0 answers -
Solve the following differential equations a) \( y^{\prime \prime}+4 y=4 t \quad y(0)=1, y^{\prime}(0)=5 \). b) \( y^{\prime \prime}+2 t y^{\prime}-4 y=1 \quad y(0)=y^{\prime}(0)=0 \).2 answers -
D \( \sum F_{x}=0 \) Find \( \underline{p}, \underline{h} \), and \( \underline{\beta} \) ? \( 2 p+2 p \cos \beta-66.708 \sin (29)=0 \) (2) \( \sum F_{Y}=0 \) \( h-2 \rho \sin \beta-66.708 \cos (29)=00 answers -
15 please
In Problems \( 1-26 \) solve the given differential cquation by undctermined coefficients. 1. \( y^{\prime \prime}+3 y^{\prime}+2 y=6 \) 2. \( 4 y^{\prime \prime}+9 y=15 \) 3. \( y^{\prime \prime}-102 answers -
27 please
26. \( y^{(4)}-y^{\prime \prime}=4 x+2 x e^{-x} \) In Problems 27-36 solve the given initial-value problem. 27. \( y^{\prime \prime}+4 y=-2, \quad y\left(\frac{\pi}{8}\right)=\frac{1}{2}, y^{\prime}\l2 answers -
Use the Laplace transform to solve the initial value problems: 1. \( y^{\prime \prime}+4 y^{\prime}+5 y=e^{-t}(\cos t+3 \sin t), y(0)=0, y^{\prime}(0)=4 \) 2. \( y^{\prime \prime}+2 y^{\prime}+2 y=2 t2 answers -
laplace Transformation please show work
1. \( y^{\prime \prime}+4 y^{\prime}+6 y=1+e^{-2 t}, y(0)=0, y^{\prime}(0)=0 \). 2. \( y^{\prime \prime}-6 y^{\prime}+9 y=t^{3} e^{3 t}, y(0)=2, y^{\prime}(0)=17 \) 3. \( y^{\prime \prime}-6 y^{\prime2 answers -
need asap
Use the Laplace transform to solve the initial value problems: 1. \[ y^{\prime \prime}+4 y^{\prime}+5 y=e^{-t}(\cos t+3 \sin t), \quad y(0)=0, \quad y^{\prime}(0)=4 \] 2. \( y^{\prime \prime}+2 y^{\pr2 answers -
Determine all values that satisfy the equations a) \( y=6 x^{2}-x-1 \), when \( y=50 \) b) \( y=x^{2}-3 x-28 \), when \( y=-10 \)2 answers -
( 1 point) Find \( y \) as a function of \( x \) if \[ y^{\prime \prime \prime}+81 y^{\prime}=0 \] \[ \begin{array}{l} y(0)=9, \quad y^{\prime}(0)=-81, y^{\prime \prime}(0)=-81 \\ y(x)= \end{array} \]2 answers -
(1 point) Find the solution of \[ y^{\prime \prime}-2 y^{\prime}+y=144 e^{7 t} \] With w(ก) \( -0 \) and \( x^{\prime}(\cap)-1 \) \( y \)2 answers -
(1 point) Find the solution of \[ y^{\prime \prime}-14 y^{\prime}+49 y=4 e^{9 t} \] with \( y(0)=3 \) and \( y^{\prime}(0)=6 \). \( y= \)2 answers -
Use the Laplace transform to solve the initial value problems: 1. \( y^{\prime \prime}+4 y^{\prime}+5 y=e^{-t}(\cos t+3 \sin t), y(0)=0, y^{\prime}(0)=4 \) 2. \( \quad y^{\prime \prime}+2 y^{\prime}+22 answers -
Solve the IBVP
\( \left\{\begin{array}{l}\partial_{t} v=2 \partial_{x}^{2} v+\sin (\pi x / 2) e^{-t}, x \in[0,3], t \in \mathbb{R}_{+} \\ v(0, t)=\partial_{x} v(3, t)=0 \\ v(x, 0)=0\end{array}\right. \)0 answers -
Use the Laplace transform to solve the initial value problems: 1. \( y^{\prime \prime}+4 y^{\prime}+5 y=e^{-t}(\cos t+3 \sin t), \quad y(0)=0, \quad y^{\prime}(0)=4 \) 2. \( y^{\prime \prime}+2 y^{\pr2 answers -
3. (8%) Determine if the set {1, ex + e-x, ex - e-x} is LI or LD in space C2[0, 1].
3. (8\%) Determinar si el conjunto \( \left\{1, e^{x}+e^{-x}, e^{x}-e^{-x}\right\} \) es LI o LD en el espacio \( C^{2}[0,1] \).2 answers -
Determine if the vector b= '' '' is in the column space of the matrix A= '' ''
4. (7\%) Determine si el vector \( b=\left[\begin{array}{l}3 \\ 2\end{array}\right] \) está en el espacio columna de la matríz \( A=\left[\begin{array}{ccc}1 & 0 & -1 \\ 1 & 1 & 1\end{array}\right]2 answers -
4. (7%) Determine if the vector is in the column space of the matrix .
4. (7\%) Determine si el vector \( b=\left[\begin{array}{l}3 \\ 2\end{array}\right] \) está en el espacio columna de la matríz \( A=\left[\begin{array}{ccc}1 & 0 & -1 \\ 1 & 1 & 1\end{array}\right]2 answers -
Ejemplo 4. Sea \( p=\frac{1}{50} q+15 \) la ecuación de oferta para cierto fabricante, y supóngase que la ecuación de demanda es \( p=-\frac{1}{10} q+15 \). Determine el punto de equilibrio y trace2 answers -
Given the matriz a)find a basis for the null space b) find a basis for column space c)find the basis for the row space
1. \( (10 \%) \) Dada la matriz \( \left[\begin{array}{ccc}1 & 1 & -3 \\ 0 & 2 & 1 \\ 1 & -1 & -4\end{array}\right] \) a. Hallar una base para el espacio nulo b. Hallar una base para el espacio column2 answers -
Be the base C and B where u1 a) find the transition matrix of the basis B and C b) Given the vector x in the base B, change it to base C
2. (10\%) Sea la base \( C=\left\{u_{1}, u_{2}\right\} \) y \( B=\left\{v_{1}, v_{2}\right\} \) donde \( u_{1}=\left[\begin{array}{c}-1 \\ 2\end{array}\right], u_{2}=\left[\begin{array}{c}2 \\ -1\end{2 answers -
3) Determine if the set {...} is LI or LD in the space C^2 4) Determine if the vector B is in the column space of the matriz a
3. (8\%) Determinar si el conjunto \( \left\{1, e^{x}+e^{-x}, e^{x}-e^{-x}\right\} \) es LI o LD en el espacio \( C^{2}[0,1] \). 4. (7\%) Determine si el vector \( b=\left[\begin{array}{l}3 \\ 2\end{a2 answers -
2 answers
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( 1 point) Find \( y \) as a function of \( x \) if \[ y^{\prime \prime \prime}-5 y^{\prime \prime}-y^{\prime}+5 y=0 \] \[ \begin{array}{l} y(0)-\quad 5 \quad n \prime(n)-5 \quad n . \prime \prime(n)-2 answers -
please answer all question
5. Solve \[ 2 x \frac{d y}{d x}-y=y\left[1-\ln ^{2}\left(\frac{y}{x}\right)\right], \quad x>0 . \] 6. Solve \[ \frac{d y}{d x}-\cos ^{2}(x-y)=0 . \] 7. Solve \[ \left(y^{\prime}\right)^{2}+(x+2 y) \co2 answers -
1) \( \left(D^{3}-2 D^{2}-3 D\right) y=0 \) 2) \( \left(D^{2}+D-6\right) \) y \( =0 \) 3) \( \left(D^{3}-3 D^{2}+4\right) y=0 \) y) \( \frac{d^{2} y}{d x^{2}}+y=0 \) 5) \( \left(D^{4}+5 D^{2}+4\right)2 answers -
I) \( \bar{F} \) ind the genenal solution 1) \( \left(D^{2}-1\right) y=\sin x \) 2) \( \left(D^{2}+9\right) y=\cos 3 x \) 3) \( \left(D^{3}-3 D-2\right) y=x^{3} e^{-x} \) 4) \( y^{\prime \prime}-2 y+y2 answers -
Estimate \( y_{1}(10), y_{2}(10), y_{3}(10) \) given the following system of differential equations: \[ \begin{array}{l} y_{1}^{\prime}=-a y_{1}+b y_{2} y_{3} \\ y_{2}^{2}=a y_{1}-b y_{2} y_{3}-c y_{22 answers -
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2. Study the Continuly then the differenkiability on the of the following: \[ \begin{array}{l} f(x)=\left\{\begin{array}{ll} \cos (x)-1 & \text { if } x \leqslant 0 \\ \sin x & \text { if } x>0 \end{a2 answers -
Find \( \iint_{R} f(x, y) d A \) where \( f(x, y)=x \) and \( R=[0,5] \times[3,8] \). \( \iint_{R} f(x, y) d A= \)2 answers -
Find \( y \) as a function of \( x \) if \[ x^{2} y^{\prime \prime}+6 x y^{\prime}-14 y=x^{0}, \] \( y(1)=-2, d(1)=0 \) \[ y= \]2 answers -
Q1: Determine whether the differentials of the following functions are exact: (a) \( f(x, y)=x^{2} y+3 y^{2} \) (b) \( f(x, y)=x \cdot \cos (x y) \) (c) \( f(x, y)=x\left(x+e^{y}\right)+y \)2 answers