Advanced Math Archive: Questions from November 26, 2022
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2 answers
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please solve all of them they are one question with different parts thank you!
1)a)b)c)dee)f)g)h Let \( f(x, y)=x^{2} \sqrt{y} \) Given \( f(x, y)=50 x+60 y-4 x^{2}-5 y^{2}-x y \) Evaluate \( f(5,5) \) Evaluate \( f(1,5) \) \[ f(1,5)= \] Given \( f(x, y)=-5 x^{4}+3 x y^{5}-4 y^{2 answers -
Can anybody help with this please ? 🙏🏾🙏🏾🙏🏾
3. Resuelve. Halla el valor de \( x \), luego determina la medida de cada par de ángulos indicados. 20 pts. a) c)2 answers -
\[ \int_{-\infty}^{\infty} \frac{x^{2}}{\left(x^{2}+9\right)^{2}} d x=\frac{\pi}{6} \] providing all the necessary details.2 answers -
3. Resuelva el siguiente problema usando el método de separación de variables \[ \frac{\partial u}{\partial x}=2 \frac{\partial u}{\partial y}+u, \quad u(x, 0)=3 e^{-5 x}+2 e^{-3 x} \]1 answer -
Boundary value problem
5. Resuelva el problema de valores de frontera \[ \frac{\partial u}{\partial t}=4 \frac{\partial^{2} u}{\partial x^{2}}, \quad u(0, t)=u(3, t)=0, \quad u(x, 0)=33 x \] Donde \( 02 answers -
2 answers
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2. Sketch the graphs of the following functions. (a) \( y=2 \sin 3 \theta-2,-\pi \leqslant \theta \leqslant 2 \pi \) (b) \( y=3 \cos \left(\theta+\frac{\pi}{2}\right), 0 \leqslant \theta \leqslant 2 \2 answers -
Solve Laplace's equation, \( \frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\partial y^{2}}=0,02 answers -
Solve Laplace's equation, \( \frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\partial y^{2}}=0,02 answers -
5. Evaluar \[ \int_{D} \frac{d x d y}{\sqrt{1+x+2 y}} \] donde \( D=[0,1] \times[0,1] \), haciendo \( T(u, v)=(u, v / 2) \) y evaluando una integral sobre \( D^{*} \), donde \( T\left(D^{*}\right)=D \2 answers -
2 answers
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Q5. Using Laplace transform solve the following ODE. \[ y^{\prime \prime}-y=t, \quad y(0)=1, \quad y^{\prime}(0)=1 \]2 answers -
\( \neg \forall x \forall y A(x, y) \) has the same truth value as \[ \forall x \neg \exists y A(x, y) \] \[ \exists x \neg \forall y A(x, y) \] \[ \forall x \forall y \neg A(x, y) \] \[ \forall x \ex2 answers