Advanced Math Archive: Questions from April 09, 2023
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suelva \( 2 x^{2} y d x=\left(3 x^{3}+y^{3}\right) d y \) \[ y^{9}=c\left(x^{3}+y^{3}\right)^{2} \] \[ \frac{c}{y^{9}}=\left(x^{3}+y^{3}\right)^{2} \] \[ \frac{2}{3} \ln \left(x^{3}+y^{3}\right)^{2}=c2 answers -
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1. Hallar las series de Fourier de las siguientes funciones periódicas con periodo indicado. a) \[ f(x)=\left\{\begin{array}{ccc} -1 & \text { si } & -12 answers -
2. Hallar las series de Fourier de las siguientes funciones periódicas con periodo indicado. Usar el hecho de que algunas son pares y otras impares b) \[ f(x)=\left\{\begin{array}{ccc} -x & \text { s2 answers -
3. Hallar los desarrollos de medio rango para las siguientes funciones b) \[ f(x)=\left\{\begin{array}{lll} x & \text { si } & 02 answers -
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Exprese el vector w como una combinación lineal de u y v . Dado: u = <5, 7> v = <2, 3> y w = <1, 1>.1 answer
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Problem 1. (8 pts) Consider \( g(x, y)=x^{3}+3 x y+y^{3} \). Find and classify all critical points for \( g(x, y) \)0 answers -
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