Consider the set defined by the following inequalities: (x1 ≥ x2 − 1 and x2 ≥ 0) or (x1 ≤ x2 − 1 and x2 ≤ 0). 1. draw the set. is it convex? 2. show that it can be described as a single quadratic inequality of the form q( x) = x ⊤ ax + 2b ⊤ x + c ≤ 0, for a matrix a = a ⊤ ∈ r2,2, b ∈ r2 and c ∈ r which you will determine. 3. what is the convex hull of this set?

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)

the correct answer is c