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2 years ago

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]2 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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What is the answer (algebra) -(4x + 3x) = 10x - 5

MariettaO [177]

Step-by-step explanation:

-(4x + 3x) = 10x - 5

We would have to multiply the -1 by the 4x and the 3x which is in the bracket.

Though there is no 1 behind the bracket but, behind any bracket there is 1 there even though it's ignored.

So when we multiply -1 by 4x we are going to get;

-4x

And when we multiply -1 by 3x It's going to be;

-3x

We have -3 and -4 because whenever we multiply any positive and negative number the product is negative.

So;

-4x - 3x = 10x - 5

So now, we group like terms;

- 4x - 3x - 10x = -5

So now that we have grouped, we have to add the negative numbers even though there is no addition sign there we would have to add

-17x = -5

So now we divide both sides by;

-17

Which is going to be;

$\frac{5}{17}$

5 0

2 years ago

Kelly has a rectangular fish aquarium that measures 18 inches long, 8 inches wide, and 12 inches tall.

BigorU [14]

Answer:

a) The maximum amount of water the aquarium can hold is 1728 in³.

b) The cover has to be 624 in² big.

Step-by-step explanation:

a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:

V=L×W×H=18 in × 8 in × 12 in= 1728 in³

b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:

One of them is given by the multiplication of the width and the height:

A₁= W×H= 8 in × 12 in=96 in²

The other area is given by the multiplication of the length and the height:

A₂= L×H= 18 in × 12 in= 216 in²

As the fish aquarium is rectangular the area of the walls is given by:

$A_T=2A_1+2A_2$ =2×96 in²+2×216 in²=624 in²

8 0

2 years ago

What shape will you get if you put 3 diamonds together

8_murik_8 [283]

I think just a trapezoid no others

Hope I helped, Good luck

= )

4 0

2 years ago

Read 2 more answers

1. Which of the following does NOT represent a whole number? 9 6.0 12/4 -12/3

Ivahew [28]

the answer is -12/3 cause it's negative

5 0

2 years ago

Please help i will give brainly :

Lubov Fominskaja [6]

1) The x-axis represents the energy ( $E$ ), in joules. The y-axis represents the amplitude ( $x$ ), in milimeters.

2) The curve depicts an monotonous decrecent rate of change.

3) The amplitude is directly proportional to the root square of the energy.

<h3>How to analyze a graph relationship between two variables</h3>

In this question we have a relationship between two variables, in which we must apply principles of functional analysis to respond three questions presented in the statement.

Now we proceed to answer the three questions below:

What is on the x-axis? The y-axis? R/ The x-axis represents the energy ( $E$ ), in joules. The y-axis represents the amplitude ( $x$ ), in milimeters.
How would you describe the rate of change of the line? R/ The curve depicts an monotonous decrecent rate of change, that is, the slope converges to zero when the energy tends to infinite.
What does this tell you about the relationship between amplitude and energy? R/ The curve show a strong similarity with a function of the form $x = A\cdot \sqrt{E}$ . Hence, the amplitude is directly proportional to the root square of the energy.

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/12431044

5 0

1 year ago