Advanced Math Archive: Questions from February 09, 2023
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Graph two periods of the given function (1) \( y=1 / 2 \tan 2 x \) (9) \( y=-2 \tan 1 / 2 x \) (11) \( y=\tan (x-\pi) \) 42 answers -
Find and classify the equilibrium solutions for the each of of the following differentia equations. (a) \( y^{\prime}=3-y \) (b) \( y^{\prime}=5+y \) (c) \( y^{\prime}=y^{2}(3-y) \) (d) \( y^{\prime}=2 answers -
2 answers
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1. Find the limit. \[ \lim _{t \rightarrow 0}\left(e^{-2 t} \mathbf{i}+\frac{t^{2}}{\sin ^{2} t} \mathbf{j}+\tan 6 t \mathbf{k}\right) \]2 answers -
2 answers
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diff eq solve initial value problem
\( \begin{array}{l}y-2) d x+\left(x \sec ^{2} y+1 / y\right) d y=0 \\ y(0)=1\end{array} \)2 answers -
1. Utilice la función \( T\left(v_{1}, v_{2}, v_{3}\right)=\left(4 v_{2}-v_{1}, 4 v_{1}+5 v_{2}\right) \) si \( \mathrm{v}=(2,-3,-1) \), w \( =(3,9) \) 2. Deja que \( T: R^{3} \rightarrow R^{2} \) se2 answers -
Hallar las siguientes transformadas de Laplace inversas: 1. \( L^{-1}\left\{\frac{1}{s^{4}}\right\} \) 2. \( L^{-1}\left\{\frac{1}{s^{2}}-\frac{48}{s^{5}}\right\} \) 3. \( L^{-1}\left\{\frac{1}{4 s+1}2 answers -
Discrete math
Match each statement 1-6 with an equivalent statement from a-g. 1. \( \neg \exists x \exists y P(x, y) \) a. \( \exists y \exists x(\neg Q(x, y) \wedge \neg R(x, y)) \) 2. \( \neg \forall x \exists y2 answers -
2 answers
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Let \( Q(x, y) \) be the statement " \( x+y=x-y \)." If the domain for both variables consists of all integers, what are the truth values? a) \( Q(1,1) \) b) \( Q(2,0) \) c) \( \forall y Q(1, y) \) d)2 answers -
Express the integral \( \iiint_{E} f(x, y, z) d V \) as an iterated integral in six different ways, where \( \mathrm{E} \) is the solid bounded by \( z=0, z=8 y \) and \( x^{4}=4-y \). \[ \begin{array2 answers -
Problem #1 Use the graphical method to solve the following problem: Minimize Subject to
Utilice el método gráfico para resolver el siguiente problema: Minimice \[ z=15 X_{1}+20 X_{2} \] Sujeto a \[ \begin{array}{l} X_{1}+2 X_{2} \leq 12 \\ 2 X_{1}-3 X_{2}=12 \\ 2 X_{1}+X_{2} \geq 8 \en2 answers -
Exercise 1.4.102. Solve \( y^{\prime}+2 \sin (2 x) y=2 \sin (2 x), y(\pi / 2)=3 \) \[ \mid y=2 e^{\cos (2 x)+1}+1 \]2 answers -
Solve the following ODE \( (x+y+1) d x+(2 x+y+2) d y=0 \) \( \left(x^{2}+y^{2}+x\right) d x+y d y=0 \)2 answers -
4,5,6,8 pleaseee
Separable 1. \( y^{\prime}=(x+1)^{2} \) 2. \( d y-(y-1)^{2} d x=0 \) 3. \( y^{\prime}+2 x y^{2}=0 \) 4. \( e^{x} y y^{\prime}=e^{-y}+e^{-2 x-y} \) 5. \( y^{\prime}=\left(\frac{2 y+3}{4 x+5}\right)^{2}2 answers -
Solve using Bernoulli
\( (\sin x) y^{\prime}+2(\cos x) y=x y^{3 / 2}, \quad y\left(\frac{\pi}{4}\right)=1 \)2 answers -
2 answers
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Problem #2 A precision medical equipment company has 2 factories. Three medical centers have placed orders against this month's production. The table below shows what the costs would be to ship each u
Problema \#2 Una compañía de equipos médicos de precisión tiene 2 fábricas. Tres centros médicos han puesto órdenes contra la producción de este mes. La tabla de abajo muestra cuales serían l2 answers -
Solve the DE \[ d y / d x=\left(5 x^{\wedge} 3-x^{\wedge} 2+2\right) /\left(\sin y+e^{\wedge} y\right) \]2 answers -
Find the following inverse Laplace transforms:
Hallar las siguientes transformadas de Laplace inversas: 1. \( L^{-1}\left\{\frac{1}{s^{4}}\right\} \) 2. \( L^{-1}\left\{\frac{1}{s^{2}}-\frac{48}{s^{5}}\right\} \) 3. \( L^{-1}\left\{\frac{1}{4 s+1}2 answers -
1. Solve the following initial value problems a. \( y^{\prime \prime}-6 y^{\prime}+13 y=0 ; \quad y(0)=1, y^{\prime}(0)=4 \) b. \( y^{\prime \prime}+16 y=0 ; \quad y(\pi / 4)=4, y^{\prime}(\pi / 4)=-82 answers -
If \( u=e^{x} \cos y, v=e^{x} \sin y, x=l r+s m, y=m r-s l \), find \( \frac{\partial(u, v)}{\partial(r, s)} \).2 answers