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LekaFEV [45]
3 years ago
13

Find a function ω(x) such that the function f(x) = sin(ω(x)) has the roots at π, π2

Mathematics
1 answer:
atroni [7]3 years ago
8 0

So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.

f(x)=\sin(\omega(x))\\\\f(\pi^n)=\sin(\omega(\pi^n))=0, n\in\mathbb{N}\\\\\\\sin x=0 \implies x=k\pi,k\in\mathbb{Z}\\\Downarrow\\\omega(\pi^n)=k\pi\\\\\boxed{\omega(x)=k\sqrt[\log_{\pi} x]{x},k\in\mathbb{Z}}

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gayaneshka [121]

Answer:

1315, 13.09, 13, 13.5%.

Step-by-step explanation:

13.5% is less than 1 because 100% = 1.

7 0
3 years ago
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Which pair of expressions is equivalent? ОА. A. 4x – 12 and 3(x – 3) B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x – 4 D. X
Blababa [14]

Answer:

<em></em>11x - 4 + 2x<em> and </em>13x - 4<em></em>

<em></em>

Step-by-step explanation:

Given

Options A to D

Required

Determine the equivalent pair

To do this, we solve each options one after the other.

(a):\

4x - 12 and 3(x - 3)

Open bracket

4x - 12 and 3 * x - 3 * 3

4x - 12 and 3x - 9

<em>The above pairs are not equivalent</em>

(b):\

2(x + 3) + 1 and 2x + 6

Open bracket

2x + 2*3 + 1 and 2x + 6

2x + 6 + 1 and 2x + 6

2x + 7 and 2x + 6

<em>The above pairs are not equivalent</em>

<em></em>

<em></em>(c):<em></em>

<em></em>11x - 4 + 2x<em> and </em>13x - 4<em></em>

Collect Like Terms

11x + 2x - 4 and 13 - x

13x - 4 and 13 - x

<em>The above pairs are equivalent</em>

5 0
3 years ago
Can someone please answer this im stuck
Nastasia [14]
I think its A not sure though
5 0
2 years ago
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A bike rental shop charges $8 per hour and $4 insurance. How many hours can I rent the bike for if I have $20.
hjlf
Answer :
Two Hours

Step By Step :
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6 0
3 years ago
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Claire can run 100 meters in 17 seconds. What is her speed in meters per second?
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