If y=3x^3-2x and (dx)/(dy) = 3, find (dy)/(dt) when x=-2

dy/dx = 9x²+2

dy = (9x²+2) dx

dy/dt = (9x²+2) dx/dt

if x = 2 and dx/dt=5 then

dy/dt = (9*2²+2)*5 = 38*5 = 190

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.