Homework Statement
if the real numbers x,y,z,w satisfy (x2/(n2-1))+(y2/(n2-32))+(z2/(n2-52))+(w2/(n2-72)) for n=2,4,6,8 then prove
x2+y2+z2+w2=36
Homework Equations
The Attempt at a Solution
unable to think of anything?:confused:
we can assume N to be a2b4c6
and if check if either of a or b or c is even or not so in all 4 answers are possible... Ithink in that way please tell if I'm correct...
1. Homework Statement
N has total 105 factors including 1 and N. then find :
a) the total no of odd factors between 1 and N.
b) if the total number of divisors of N which are multiple of 36 are 45.then the total no of odd factors between 1 and N.
c)the number of ways in which N can be resolved...
1. Homework Statement
let N= (7^n1)(9^n2)(11^n1)
if n1 is even,then the total number of divisors of the form of 4k+1 must be divisible by?
correct answer is n2+1
3. The Attempt at a Solution
total number of divisors = (n1+1)(n2+1)(n1+1)
If a cylindrical tank of radius 1m rests on a platform 5m above the ground. Initially the tank is filled with water up to a height 5m. A plug whose area is 10-4m2 removed from an orifice on the side of the tank at the bottom.(density of water = 103kg/m3, g= 10m/s2).
i wanted to ask what would...