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VashaNatasha [74]
2 years ago
9

Help please :(

Mathematics
1 answer:
MissTica2 years ago
7 0

Answer:

D

Step-by-step explanation:

The change from x = 0 to x = 1 is -3

The change from x = 1 to x = 2 is -5

The average of -3 and -5 is \frac{-3-5}{2} = \frac{-8}{2}  = -4

The answer is D. -4

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Lim x->pi/3 ((2cosx-1)/(tan^2x-3))
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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
Mrs. Jacobson wants to order toy instruments to give as prizes to her music students. The table shows the prices for various ord
Leona [35]
First let as solve all unit pirce
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7 0
2 years ago
Read 2 more answers
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OLEGan [10]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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Directions: Find the volume of each figure. Round to the nearest tenth if necessary.
balu736 [363]

Answer:

Step-by-step explanation:

square-based pyramid:

volume V = (⅓)b²h

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:::::

Can't help with question 3. I haven't learned triangle-based pyramids.

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cone:

volume V = ⅓πr²h

              = ⅓π17²·20

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3 0
2 years ago
Kaylee is selling candles to raise money for her lacrosse team. The large candles sell for $25 each and the
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Answer:25(20)+10(10)=600

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