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Sedbober [7]
3 years ago
5

Does anyone understand this?

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0
The second one would be true
Hope this helped.
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Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
Can you Factor y^2+5y+6
fenix001 [56]
Hi there!

y² + 5y + 6

⇒ y² + 2y + 3y + 6

⇒ y (y + 2) + 3 (y + 2)

⇒ (y + 2) (y + 3)

~ Hope it helps!
6 0
4 years ago
Read 2 more answers
Will give brainliest
ankoles [38]
Answer: Sorry I forgot about this, I really didn’t learn anything this year but my best guess is... ( A )
4 0
3 years ago
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Find two numbers whose sum is 15 and the product is 36
ycow [4]
The two numbers are 3 and 12.

I got these numbers by factoring 36.

1 * 36    sum : 37
2 * 18    sum : 20
3 * 12    sum : 15

It is easier to find the factor of a number and solve for the sum. Than to find the addends of a number and solve for the product.

There are 9 factors of 36 while 14 addends of 15.
8 0
4 years ago
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An ordered pair of the function d ( t ) = 35 t is _____.
lara31 [8.8K]

Answer: B (1, 35)

Step-by-step explanation:

For each ordered pair, the first number would be t, and the second number would be d(t). We need to find one that satisfies the equation. When we multiply 1 by 35, do we get 35? Yes.

6 0
3 years ago
Read 2 more answers
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