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stiks02 [169]
3 years ago
6

Change 6/1/4%to a fraction

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0
6. 1
_
. 4
I can't write the response understandable on this screen, I hope this is some use to u.
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The stained glass window is a regular hexagon which is 2.5 meters on a side. What is the approximate length of the metal frame s
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If p is a polynomial show that lim x→ap(x)=p(a
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Let p(x) be a polynomial, and suppose that a is any real number. Prove that

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2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

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= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
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