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stich3 [128]
4 years ago
12

What is the answer for this problem?

Mathematics
1 answer:
MakcuM [25]4 years ago
4 0
After canceling out the x^2 and all the other fun stuff, you should get (x+4)/(x-1)
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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
What is the volume ?
Lesechka [4]
Square A: 

Length = 13 inches

Height = 2 inches

Volume: 23 inches
-----------------------------
Square B:

Length = 5 inches

Height = 2 inches

<span>Volume: 10 inches
</span>
23 x 10 = <span>230 inches
</span>
VOLUME: 230 inches
7 0
3 years ago
Read 2 more answers
Expand and simplify using the binomial theorem (3x - 1)^4.
Charra [1.4K]

us pascal triangle

          1

        1   1

     1    2    1

   1    3    3    1

1     4    6    4    1  

each number is the sum of 2 above it and the 1's are on the outside because only 1 number is above them and its 1

so since its ^4 we use row 4 (actually the 5th because the top row is row zero)  

these at the coefficients

so here is

1a^4b^0-4a^3b^1+6a^2b^2-4a^1b^3+1a^0b^4

or easier to see it vertically

notices how exponential start a 4 and 0 until 4 goes down to 0 and 0 goes up to 4

(3x - 1)

a = 3x

b = -1

1a^4b^0  = 1(3x)^4(-1)^0

-4a^3b^1   =  -4(3x)^3(-1)^1

+6a^2b^2 ....

-4a^1b^3 .....

+1a^0b^4....

then write it horizontally

I think you see now,  when you expand this you will have your answer

5 0
3 years ago
Which of the following expressions could be used to represent "three less than half a number"?
andreyandreev [35.5K]
I think it’s -5 not sure tho but I don’t really get the question either so sorry if it doesn’t help
6 0
3 years ago
Which of the following is an arithmetic sequence with a common difference of +3?
Reil [10]
C.

4 + 3 7 + 3 1 0 + 3 1 3
8 0
3 years ago
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