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Other Math Archive: Questions from July 20, 2022

$If $ \log 2=x, \log 3=y $, then $ \log _{18} 12= $ (in terms of $ \mathrm{x}, \mathrm{y} $ ) A- $ \frac{x}{y} $ B- $$

If \( \log 2=x, \log 3=y $, then $ \log _{18} 12= $ (in terms of $ \mathrm{x}, \mathrm{y} $ ) A- $ \frac{x}{y} $ B- $ \frac{x+2 y}{2 x+y} $ C- $ \frac{2 x+y}{x+2 y} $ D- \( \frac{x+y}{x+2 y

1 answer
Resuelva la ecuación diferencial lineal de primer orden 𝑦 ′ + 2𝑥 ∙ 𝑦 = 3𝑥. Seleccione la respuesta correcta. (a) − 1/ 2 + 𝐶𝑒^ −𝑥 2 (b) 3/ 2 + 𝐶𝑒^ −𝑥 2 (c) 1/ 2

1 answer
Use the Laplace transform to solve the system. x' + y = t 16x + y' = 0 x(0) = 4, y(0) = 4 x= y=

1 answer
Encuentre una solución explícita del problema de valor inicial 𝑑𝑥 /𝑑𝑡 = 4(𝑥 2 + 1), 𝑥 ( 𝜋/ 4 ) = 1. Seleccione la respuesta correcta: (a) 𝑥 = 𝑡𝑎𝑛(𝑠𝑒𝑛(𝑡))

1 answer
The value of the surface integral I:= ..., where S is defined by z = ...., is equal to:
El valor de la integral de superficie $ I:=\iint_{S} \frac{1}{\sqrt{8 z-16 y+10}} d S $, donde $ S $ está definida por $ z=x^{2}+2 y, 0 \leq x \leq 1,0 \leq y \leq 1 $, es igual a: Seleccione u

1 answer
Let 𝑆 be a surface which has parameterization given by the function 𝑟(𝑢,𝑣)=(2𝑢,−𝑣/2,𝑣/2), where 0 ≤ 𝑢 ≤ 2; 0 ≤ 𝑣 ≤ 1. If 𝐴 represents the area of the s

1 answer
$If $ f(x)=\sqrt{x+1} $, for $ x \geq-1 $, then for $ y \geq-1, f\left(y^{2}+2 y\right)= $ a) $ y+\sqrt{2 x+1} $ b) $$

If \( f(x)=\sqrt{x+1} $, for $ x \geq-1 $, then for $ y \geq-1, f\left(y^{2}+2 y\right)= $ a) $ y+\sqrt{2 x+1} $ b) $ 1-y $ c) $ \sqrt{y^{2}+1} $ d) $ \sqrt{2 x+y^{2}} $ e) $ 1+y $

1 answer

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