At what point on the curve y=x+2cos x is the tangent horizontal in the interval [-2pi, 2pi]

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.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .