Advanced Math Archive: Questions from August 19, 2022
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Transcription: In the following augmented matrices x is a real parameter and they are obtained in the process of verifying if a vector b is a linear combination of vectors a1, a2 and a3. Indicate in
3. En las matrices aumentadas siguientes \( x \) es un parámetro real y ellas son obtenidas en el proceso de verificar si un vector \( \mathbf{b} \) es combinación lineal de vectores \( \mathbf{a}_{2 answers -
Determine the domain of the function \[ f(x, y)=-5 \sqrt{2 x-4 y-5} \] \( \operatorname{dom}(f)=\left\{(x, y) \in \mathbb{R}^{2}: y \leq-\frac{5-2 x}{4}\right\} \) \( \operatorname{dom}(f)=\left\{(x,1 answer -
Solve the following differential equations (2) \( y^{\prime}+x e^{y}=3 e^{y-x}, y(0)=0 \) (b) \( x y^{\prime}+(1+x) y=1-2 x, y(1)=2 \)1 answer -
3 answers
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8) Solve using Laplace transforms: (4 points) \[ y^{\prime \prime}+2 y^{\prime}+y=\left\{\begin{array}{rr} 2, & 0 \leq t1 answer -
If \( f(x, y)=\frac{x^{2} y}{\left(5 x-y^{2}\right)} \), find the following. (a) \( f(1,4) \) (b) \( f(-5,-1) \) (c) \( f(x+h, y) \) (d) \( f(x, x) \)3 answers -
Find the first partial derivatives of the function. \[ g(x, y)=x^{6} \sin (y) \] \[ g_{x}(x, y)= \] \[ g_{y}(x, y)= \]3 answers