Find the center of mass of the following plane region with variable density. describe the distribution of mass in the region. the triangular plate in the first quadrant bounded y=x, x=0, and y=2-x with p(x, y) =4x+9y+2. set up the double integral that gives the mass of the region . use increasing limits of integration.

l.ln.lln.k.nkl

step-by-step explanation:

72 is the answer to this problem

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.