Here, f(x)=x2 -6 logx-3=0
f(2)=4-6 log2-3=-0.806
f(3)=9-6 log3-3=3.1373
f(2).f(3)=-0.806*3.1373=-2.529422 which is negative.
Hence, the root lies between 2 and 3
c0 =(2+3)/2=2.5
f(2.5)=6.25-6 log 2.5-3=0.8623
Now
n | a(-ve) | b(+ve) | cn | f(cn) |
0 | 2 | 3 | 2.5 | 0.8623 |
1 | 2 | 2.5 | 2.25 | -0.050595 |
2 | 2.25 | 2.5 | 2.375 | 0.38664 |
3 | 2.25 | 2.375 | 2.3125 | 0.1631658 |
4 | 2.25 | 2.3125 | 2.28125 | 0.05506 |
5 | 2.25 | 2.28125 | 2.265625 | 0.001925 |
From the table,
f(2.265625)=0.001928<10-2
Therefore, the...
The two vectors (say A and B) of different magnitudes cannot be combined to give zero resultant since minimum value of combination is ІA-BІ which is not zero if AB.
The three vectors A, B and C of different magnitudes can be zero such that they form a closed triangle, then,
A+B+C=0
or, C=-(A+B)
Hence, the sum of three vectors may be zero if vector sum of any two vectors is equal and opposite to the third vector.
Note: The vectors can give this result only if...
Yes, if the angle between the two vectors is more than 90o but less than 2700. (cosΘ is negative)
1. How many beats can be heard by sounding together two tuning forks of frequencies 250Hz and 256Hz?
Number of beats (n) =f2- f1
= 256 - 250
= 6 beats /sec