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Ipatiy [6.2K]
3 years ago
8

PLEASE HELP!

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

?

Step-by-step explanation:

I'm looking for answer

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Consider the following.
san4es73 [151]

Answer:

Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

cos(x/2) = 0

x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k   or    x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

  • x = -3pi
  • x = -pi
  • x = pi
  • x = 3pi
  • x = 5pi

and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).

3 0
3 years ago
Which of the following represents the equation of a line that is parallel to 2y-x=16 and passes through the
Sliva [168]
The correct equation would be Y=1/2x+4 :)

This is true because both equations have the same slope therefore they are parallel and the equation above also includes point (-6,1).
5 0
2 years ago
The sum of 5 consecutive integers is 505
kramer
Using algebra:n+(n+1)+(n+2)+(n+3)+(n+4)=5055n+10=5055n=505-105n=495n=495/5n=99n+1=100n+2=101 answer
5 0
3 years ago
Mrs.Douglas wanted to give each of her students 3 fancy pencils. She has 20 students. If fancy pencils come in packs of 12, how
Colt1911 [192]
1 pack of 12 will give 4 students their pencils. 20/4 = 5
3 0
3 years ago
Read 2 more answers
VI
barxatty [35]

Answer:D hope it helped

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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