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Mars2501 [29]
2 years ago
6

Please solve this… This is the question from grade XI calculas portion Help me please

Mathematics
1 answer:
yanalaym [24]2 years ago
6 0

Answer:

-\frac{1}{\sqrt{2} }.

Step-by-step explanation:

Check images below.

On image 1, we started applying the L'Hôpital's rule for the limit. This rule consist on taking the derivative of the numerator and the denominator, individually and with respect to the variable of interest (in this case is x).

On image 1 we started taking the derivative with respect to x for the numerator.

Then, on image 2 we we started taking the derivative with respect to x for the denominator.

Finally, on image 3 we substituted the result of the derivatives and simplified the result.

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Part 3)

x=6\ units

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Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

cos(30\°)=\frac{3\sqrt{3}}{x}

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<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

sin(30\°)=\frac{y}{x}

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substitute

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Applying the Pythagoras Theorem

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