Analyze the function f(x) = - 2 cot 3x. include:
- domain and range
- period
- two vertical asymptotes

For the domain and range, Period, and Two Vertical Asymptotes is stated below

Step-by-step explanation:

For  the function f(x) = - 2 cot 3x.

lets state the following as follows,

y = -2[cos(3x)/sin(3x)]

For the Domain

All Real Numbers except with sin(3x)=0,

All Real Numbers except x = 0 or pi/3

For the Range=All Real Numbers

For the given Period = (2pi/3) = (2/3)pi

For  Two Vertical Asymptotes:: x = 0 and x = pi/3

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: