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3. was he born in Europe?
TWO 106 104
THREE 19722 19722
SEVEN = 82524 or = 82526
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TWELVE 102352 102352Simplifying the equations
O+N=10y ( y=1 or 2)
y+W+2E=10x+V (x=0,1,2)
x+1+R+V=10z+L (z=0,1 or 2)
z+H=10a (a=1 or 2)
a+S=9+W
O+N=10y (y=1 or 2)
since they both smaller than 10 , y could only be 1
O+N=10
y+W+2E=10x+V (x=0,1,2) = 1+W+2E=10x+V (x=0,1,2)
z+H=10a (a=1 or 2)
and z could only be (0,1 or 2)
H< 10, z can't be zero , so z could only be (1, or 2)
a could only be 1
a+S=9+W
1+S=9+W
S-W=8
W might be 0 or 1, S might be 8 or 9
According to Mathsyperson, W could only be 0
then S could only be 8
Simplify the equations again
O+N=10
1+2E=10x+V (x=0,1,2)
x+1+R+V=10z+L (z=1 or 2)
z+H=10
W=0
S=8
T=1
H is different from S , then z=1 , H = 9
x+1+R+V=10z+L
we know that W=0 T=1, S=8, H=9
This is the only equations left:
O+N=10
x+R+V=9+L (x=0,1,2)
1+2E=10x+V
Eliminate the x
2E+10R+9V=89+10L
V must be odd , options are 3,5,7
the only even numbers left : 2,4,6
O+N=10, so O,N could either take (3,7)(7,3) or (6,4) (4,6)
Since O and N only appear once, so order doesnt not matter
Consider O , N take (7,3)
V has to be 5
2E+10R=44+10L
E+5R=22+5L
E+5(R-L)=22
E,R,L have to be any arrangement of (2,4,6)
No solution
Thus, O,N have to take (6,4)
2E+10R+9V=89+10L
E+5(R-L)= (89-9V)/2
V = 3, 5, 7
E+5(R-L)=31 (2,5,7)
E+5(R-L)=22 (2,3,7)
E+5(R-L)=13 (2,3,5)
When V=5 E=2, R=7, L=3 , equation two has solution , 2+5x4=22
So
TWO = 107 THREE= 19722 SEVEN=82523
Or
TWO=103 THREE=19722 SEVEN=82527
Fixed!!!
I made these equations according to table
O+E+N=10y +E ( y=1 or 2)
y+W+2E=10x+V (x=0,1,2)
x+T+R+V=10z+L (z=0,1 or 2)
z+H+E=10a+E (a=1 or 2)
a+T+S=10T+W
E 6 times
T 3 times
V 2 times
W 2 times
R 1 time
H 1 time
N 1 time
O 1 time
These letter represent 8 diff number out of 10
lets take all number to the max 999+99999+99999= 200997
T could only be 1 or 2 ,
If we assume T = 2
a+T+S=10T+W
T+S <=18
a must be 2 , then 2+T+S <20, which contradicts
so T must be 1
yea, that puzzles me as well, I look at different sources, they didnt explain it. they just simply stated that when a wave enter a new medium frequency remain unchanged. But since frequency means a number of cycles per unit time of a particle of medium . I think it could be proven , can anyone help?
to my knowledge, in light wave or magnetic wave's case, the frequency remain unchanged is that frequency is related to the energy of the light wave, engergy could not be created or destroyed so it remained unchanged.
dont know if its the same in mechanical wave's case
4x³ + 18x² + 26x + 12 there's a trick
4 8
10 20
6 12
first write 4 and 12 at top left, and bottom right, then make every pair has the same ratio
(4x³+8x²) +.....
Wow, looks like you cant even reverse the dy and dx, cuz lnx = ln0 is not define...kinda hard
first draw the graph of the restrain region
the first question
you should lower the surface by subtracting 16
thus it becomes the volume between
I just leave the calculation, XD
p.s you can dissect the solid in question 2 into 2 parts, ...its hard to describe without graph...
In my opinion,
I guess the linear mass density of steel is greater than of aluminium, therefore v decrease, and frequency remain unchanged, then wavelength must decrease as well
Is this what you are looking for?
For you question 2, I have another method
2a² + 11a + 5
2a 1
a 5
1xa +2ax5= 11a
1x5=5
2a² + 11a + 5= (2a+1)(a+5)
Anyway, you have to find Aa² + Ba + C
E G
F H
Such that GF+EH=B, GH=C , EF=A
dont know how to show double integral, what's the sign? XD
I guess its more like
The trick of this is that, he changed the domain and range
The first one, I dont know if I am allowed to use L'hospital's rule twice, if so, after taking derivative twice it became like this
And we could do a triple integration to find the center of mass, but I am not really good at the calculation lol
Oh yea, 5 and 2 are prime , so 5^n and 2^m would be relatively prime , Thx, Ricky and Jane
another way of doing it
hint : apply L' Hospital rule
Hmm, I have yet to learn that. but soon.
use the formula
If I were to really do it , I would:
Wow, I didnt know its transcendental. Thx for the info Daniel. XD. I tried all night ..and in vain T.T
thx in advance
I am pure Asian lol