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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
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Alenkinab [10]

Center of the door

26 1/3 divided by 2

change to an improper fraction

(3*26+1)/3 =79/3

79/3 divided by 2

copy dot flip

79/3 * 1/2

79/6

change to a mixed number

13 1/6

10 1/4 divided by 2

change to an improper fraction (4*10+1)/2 = 41/4

41/4 divided  by 2

copy dot flip

41/4 * 1/2 =41/8

change to a mixed number

5 1/8

the left of the bar should be 5 1/8 from the center

to find how far from the left side to place the bar

13 1/6 - 5 1/8 =

get a common denominator

13 4/24 - 5 3/24= 8 1/24 inches


Answer:  place the bar 8 1/24 inches  from each  edge



4 0
3 years ago
Please helpppp !!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!!!!!
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

This is a duplicate of one I have done for you

BF = 3*HF

BF = 3*6

BF = 18

6 0
3 years ago
given the following information about two loaded die, what is the p(5) on die 2? die 1p(1) = 0.5 p(4) = 0.25 p(6) = 0.25 die 2p(
bagirrra123 [75]

Answer:

0.45

Step-by-step explanation:

Die 1 is loaded so that only 1, 4, and 6 are possible.

P(1) + P(4) + P(6) = 0.5 + 0.25 + 0.25 = 1

Similarly, Die 2 is loaded so that only 2, 3, and 5 are possible.

P(2) + P(3) + P(5) = 1

0.3 + 0.25 + P(5) = 1

P(5) = 0.45

3 0
3 years ago
2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s paymen
grigory [225]

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is<u> $396.</u>

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

  • A portion going towards the principal(debt )
  • A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

<em>Find out more at brainly.com/question/12256592. </em>

7 0
3 years ago
Can someone pls help me with this?
lara [203]

Answer:

14 is A

15 is B

Step-by-step explanation:

14 . the answer is a because first off the slope is negative so we can immediately eliminate B and D second of all the slope is 1/2 so we can eliminate D and get that the answer has to be a

15. answer is B for this one because first of all the slope is negative so we can immediately eliminate A and c and second of all the y-intercept would be 120 because 90 is what x=1 so we would have to add 30 to get what y would equal when x=0 if that makes sense

5 0
3 years ago
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