Answer:
I(x)  = 1444×k ×
I(y)  = 1444×k ×
I(o) = 3888×k × 
   
Explanation:
Given data
function =  x^2 + y^2 ≤ 36
function =  x^2 + y^2 ≤ 6^2
to find out 
the moments of inertia Ix, Iy, Io
solution
first we consider the polar coordinate (a,θ)
and polar is directly proportional to a² 
so p = k × a²
so that
x = a cosθ 
y = a sinθ 
dA = adθda
so 
I(x) = ∫y²pdA
take limit 0 to 6 for a and o to  for θ
 for θ
I(x) =  y²p dA
 y²p dA
I(x) =  (a sinθ)²(k × a²) adθda
 (a sinθ)²(k × a²) adθda
I(x) = k   da ×
  da ×   (sin²θ)dθ
  (sin²θ)dθ
I(x) = k   da ×
  da ×   (1-cos2θ)/2 dθ
  (1-cos2θ)/2 dθ
I(x)  = k  ×
 ×   
 
I(x)  = k ×  × (
 × (   
 
I(x)  = k ×   ×
 ×    
 
I(x)  = 1444×k × .....................1
     .....................1
and we can say I(x) = I(y)   by the symmetry rule
and here I(o) will be  I(x) + I(y) i.e
I(o) = 2 × 1444×k × 
 
I(o) = 3888×k × ......................2
   ......................2
 
        
             
        
        
        
Answer:
D. Same 
Explanation:
Because only gravity is doing the work on the objects, and gravity is constant for all the objects
 
        
             
        
        
        
Answer:
J. Robert Oppenheimer
Explanation:
He led the Manhattan project and created the first nuclear bomb in WWII