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3 years ago

Please help. 20 points...........

Mathematics

2 answers:

Natali5045456 [20]3 years ago

4 0

la respuesta es 7.5que six

Eva8 [605]3 years ago

3 0

ANSWER

The answer is 7.5

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Lim x->pi/3 ((2cosx-1)/(tan^2x-3))

beks73 [17]

You can check that the limit comes in an undefined form:

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}$

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

and

$\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}$

So, we have

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)$

6 0

3 years ago

This statement is justified by which property of equality?

Galina-37 [17]

Answer:

symmetric property

Step-by-step explanation:

with symmetric property if x=y then both values on either side of the equal sign will be equal

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3 years ago

If I decline by 23%, what percent would be remaining?

egoroff_w [7]

Answer: 77%

Step-by-step explanation:

100-23=77

Hope it helps!

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2 years ago

Observe

slega [8]

Answer:

They both have the same y-intercept

one is a straight line and the other is not

I used my brain to solve it.please mark me as the brainiest,It would mean a lot to me.

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3 years ago

True or false: Outliers can cause data sets to be skewed.

Natali [406]

True - since the outlier is way off it will cause your average to mess up which is why we test multiple times to make sure we are more accurate with our numbers

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2 years ago

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