1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondor19780726 [428]
3 years ago
7

Which of the following are vertical asymptotes of the function y = 3cot(1/2x) - 4?

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
7 0

Answer:

x=0 or ±2 nπ where n belongs to natural numbers.

Step-by-step explanation:

The " vertical asymptote " is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptotes of a rational function we set denominator=0.

We are given function y=3 cot((1/2)x)-4

which could also be written as y=3\times\frac{cos((1/2)x)}{sin((1/2)x)} -4\\\\y=\frac{3 cos((1/2)x)-4 sin((1/2)x)}{sin((1/2)x)}

for denominator to be equal to 0 we must have sin((1/2)x)=0

⇒ (1/2)x=0

⇒   x=0 or ±2 nπ where n belongs to natural numbers.

Hence, the vertical asymptotes of the given function is  x=0 or ±2 nπ where n belongs to natural numbers.


emmasim [6.3K]3 years ago
5 0
A vertical asymptote is a line that the graph of the function does not cross.
If: \lim_{x \to a} 3 cot (1/2 x)-4 =  +/- ∞
then the line x = a is a vertical asymptote.
For x = 0:
f ( 0 ) = 3 * cot 0 - 4 = ∞
For x = +/- 2 π :
f ( 2 π ) =  3 * cot π - 4 = - ∞
Answer:
A ) x = 0  and C ) x = +/- 2π
You might be interested in
To do his homework for a drafting class, Axel needs a round table with an area of at least 45ft. What is the area of his parent’
Natasha2012 [34]

Answer:

About 38.48ft

Step-by-step explanation:

A=\pir^{2}

A=3.5^{2}\pi

A≈38.48

8 0
2 years ago
Solve for z. 20 − (z + 7) = 0.9
zhannawk [14.2K]

Answer:

x = 12.1

Step-by-step explanation:

20 − (z + 7) = 0.9

Distribute the minus sign

20 -x -7 = .9

Combine like terms

13 -x = .9

Subtract 13 from each side

-x = -12.1

x = 12.1

7 0
3 years ago
Read 2 more answers
The first 5 multiples of 18 after 0 are?​
ololo11 [35]

Answer:

18,36,54,72,90 are first five multiples of 18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the measure of the arc
steposvetlana [31]

The answer is kindly 21 (100% correct)

3 0
2 years ago
Pleasee help me, I don’t get it
Aleks [24]

Answer:

x = 4 sqrt(5)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + x^2 = 12^2

64+ x^2 =144

Subtract 64 from each side

x^2 = 144-64

x^2 =80

Take the square root of each side

sqrt(x^2) = sqrt(80)

x = sqrt(16*5)

x = 4 sqrt(5)

8 0
2 years ago
Other questions:
  • A firecracker shoots up from a hill 160 feet high, with an initial speed of 90 feet per second. Using the formula H(t) = −16t2 +
    14·2 answers
  • Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below.
    12·2 answers
  • !!!!!!!!!!!!Send help!!!!!!!!!
    8·1 answer
  • 5x - 6y = 0 y = x solve the system by substitution. a. no solution b. coincident c. (0, 0)
    8·1 answer
  • Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
    13·1 answer
  • Solve the system by graphing <br><br> Y=x+2<br> X=-3
    8·1 answer
  • A line that includes the point (10, 7) has a slope of 10 . What is its equation in slope-intercept form?
    15·2 answers
  • PLEASE HELP ME!
    9·1 answer
  • A 13-foot ladder is leaning on a tree. The bottom of the ladder is on the ground at a distance of 55 feet from the base of the t
    14·1 answer
  • Company A charges $125 annual fee plus $5 per hour car share fee.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!