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Ivanshal [37]
3 years ago
8

Determine whether the function is periodic. If it is periodic, find the period.

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer:

The period is 2pi

Step-by-step explanation:

A function is said to be periodic if there exists a T for which f(x+T)=f(x). In this case, the function is f(x) =7sin^3(x).

The period of sin(x) = 2pi. Then, in this case, no matter if the sin is elevated to a power of three, the period will remain the same.

Let's prove it:

f(x) =7sin^3(0) = 0

f(0 + 2pi) = f( 2pi) = 7sin^3(2pi) = 0.

Then, there exists a T for which f(x+T)=f(x) and it's T=2pi.

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What is 7 8/13 rounded to the nearest whole number?
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Answer: The answer would be 8.

Step-by-step explanation: I'm going to assume you mean 7 8/13 is a mixed fraction. So you multiply the denominator, 13, multiply 7 to that, then add 8 to it and the denominator would be the same as before. That should give you 99/13. When you divide, you get around 7.6, rounding closest to 8.  

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3 years ago
What is the difference between a proper and an improper subset?
lutik1710 [3]

A proper subset describes the set in full.  An improper subset strays from the original set.

4 0
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Find the correct plugged in formula for each figure.
r-ruslan [8.4K]

Answer:

3

Step-by-step explanation:

I'm just guessing because you don't give any numbers or anything at all

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Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want
slega [8]

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

South = 4.2km

West = 7.1km

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

\tan(a) = \frac{Opposite}{Adjacent}

\tan(a) = \frac{7.1}{4,2}

\tan(a) = 1.6905

Take arctan of both sides

a = \tan^{-1}(1.6905)

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4 0
3 years ago
Solve for xx. Round to the nearest tenth, if necessary.
jasenka [17]

Step-by-step explanation:

S+T+U=180°{sum of angle of triangle}

  • 68°+90°+U=180°
  • U=180-158°
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sin theta= p/h

sin22°=x/83

o.37=x/83

x=0.37×83

x=30.71

x=31

stay safe healthy and happy.

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