Advanced Math Archive: Questions from January 29, 2023
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Jpts) Solve the folloving IVP using Laplace Transform \[ \begin{array}{r} y^{\prime \prime}+y=\int(x), \\ y(0)=0 \\ y^{\prime}(0)=0 \end{array} \] where \( f(x)=\left\{\begin{array}{ll}0, & x2 answers -
2 answers
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I need help with ALL of them. Please specify with the truth value is false or true.
\( \forall r \in \mathbb{Z}: \frac{1}{r} \cdot r \in \mathbb{Z} \) \( \forall x \in \mathbb{R}: \sqrt{x} \in \mathbb{C} \) \( x, y \in \mathbb{R}, x^{y} \in \mathbb{R} \) \( \forall x \in \mathbb{Z},2 answers -
Perform the following integrations: 1) \( y^{\prime}=8 e^{8 x} \sin \left(e^{8 x}\right) \Rightarrow y= \) 2) \( y^{\prime}=\frac{x+4}{x^{2}+8 x+13} \Rightarrow y= \) 3) \( y^{\prime}=\cos (6 x) \sqrt2 answers -
\( x^{\prime}-2 y^{\prime}=1, x^{\prime}+y-x=0 ; x(0)=y(0)=0 \) \( x^{\prime}+2 y^{\prime}-y=1,2 x^{\prime}+y=0 ; x(0)=y(0)=0 \)2 answers -
2 answers
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2 answers
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2 answers
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Resolver por método de Euler
1. Usa el método de Euler para obtener una aproximación a cuatro decimales del valor indicado, ejecuta a mano la ecuación de recursión, usa \( h=0.1 \) para el primer ejercicio y \( h=0.05 \) para2 answers -
Usando Eigenvalores y Eigenvectores resuelve los sistemas de ecuaciones siguientes.
2. Usando Eigenvalores y Eigenvectores resuelve los sistemas de ecuaciones siguientes. \[ \frac{d x}{d t}=-4 x+2 y \] a) \[ \begin{array}{l} \frac{d y}{d t}=-\frac{5}{2} x+2 y \\ \frac{d x}{d t}=x+y-z2 answers -
10b,10e
10. Which of the following are true in the universe of all real numbers? (b) \( (\exists x)(\forall y)(x+y=0) \). (c) \( (\exists x)(\exists y)\left(x^{2}+y^{2}=-1\right) \). (e) \( (\forall y)(\exist2 answers -
2 answers
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- Compute the partial derivative of the paraboloid function \[ \begin{array}{c} z=f(x, y)=A\left(x-x_{o}\right)^{2}+B\left(y-y_{o}\right)^{2}+C \\ f_{x}(x, y)=\left(\frac{\partial f(x, y)}{\partial x}2 answers -
1. Let U = {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; and B = {q, s, y, z}. List the members of the set A ∩ B', using set braces. a) {t, v, x} b) {q, s, t, u, v, w, x, y} c) {u, w} d {r,
Let \( U=\{q, r, s, t, u, v, w, x, y, z\} ; A=\{q, s, u, w, y\} \); and \( B=\{q, s, y, z\} \). List the members of the set \( A \cap \bar{B} \), using set braces. \( \{t, v, x\} \) \( \{q, s, t, u, v2 answers -
Q3 [B]: Calculate \( \int_{n}^{2 n} \int_{0}^{\pi}(\sin x+\cos y) d x d y \) b. \( h(x, y)=x e^{3}+y+1 \)2 answers -
Q4 \( |A|=v i n d a w i a r \) when \( r=1, s=-1 \) if \( w=\left(x+y+x^{2}\right. \), \( x=r-s, y-\operatorname{ces}(r+s), x=\sin (r+y) \). Q4 [H]: Find the2 answers