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slega [8]
3 years ago
7

Plz with steps .. it's very hard can anyone plz

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

Step-by-step explanation:

\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a}  \qquad  f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a}  \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}}  }{\dfrac{1}{2\sqrt{x}} }\\\\

\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}  =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\

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skelet666 [1.2K]

if ya asking for simpliicatio

remember that \sqrt{ab}=(\sqrt{a})(\sqrt{b})

and

\sqrt{a^2}=(\sqrt{a})(\sqrt{a})=a

\sqrt{50}+\sqrt{18}=

factor

(\sqrt{2})(\sqrt{5})(\sqrt{5})+(\sqrt{2})(\sqrt{3})(\sqrt{3})=

(\sqrt{2})(5)+(\sqrt{2})(3)=

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5 0
3 years ago
How much would a worker pay in taxes if his income is 750.00 and his tax bracket is 10%?
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75

Step-by-step explanation:

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3 years ago
paul borrows 1310 at 2% simple intrest per month. when paul pays the loan back 5 years later, what is the total amount that paul
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Answer: The total amount that Paul will end up paying is $1441

Step-by-step explanation:

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Where

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P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

P = 1310

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I = (1310 × 2 × 5)/100 = $131

The total amount that Paul will end up paying is

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Answer:

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Hermes llega en noveno lugar.

Step-by-step explanation:

Tenemos 3 amigos:

Benito

Hermes

Eladio

Hay 3 posiciones:

segundo

sexto

noveno.

Sabemos que:

Benito llegó antes que Hermes.

Cuando Eladio estaba llegando a la meta, solo Benito estaba descansando.

Es decir, cuando Eladio llego a la meta, Hermes aún no había llegado.

Eladio llegó a la meta antes que Hermes, pero después que Benito.

Entonces el primero en llegar es Benito, el segundo es Eladio y el tercero será Hermes.

Con la data inicial podemos decir que:

Benito llega en segundo lugar.

Eladio llega en sexto lugar

Hermes llega en noveno lugar.

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