Find the center of mass of a solid of constant density bounded below by the paraboloid z = x^2 + y^2 and above by the plane z = 100. Then find the plane z = c that divides the solid into two parts of equal volume. This plane does not pass through the center of mass.
The answers in the back of the book are:.
(a) x-bar=y-bar=z-bar=(8/3)
(b) c=2(sqrt(2))

your answer is a

step-by-step explanation:

4*4*4*4=256

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.