If x^2+3y^2=8+2xy, then d^2y/dx^2 at (2,2) =

The value of at (2,2) is .

Step-by-step explanation:

The given equation is

Differentiate with respect to x.

Here,

The value of first derivative at (2,2) is

Differentiate with respect to x. Using quotient rule we get,

The value of second derivative at (0,0) is

Therefore the value of at (2,2) is .

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.