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...
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One major difference between Americans and Japanese is their cultural norms and values. For example, Americans tend to value individualism and independence, while Japanese tend to prioritize group harmony and collectivism. This can be seen in various aspects of daily life, such as communication style, decision-making processes, and social interactions. Additionally, the two cultures have different customs and traditions, including food, clothing, and holidays.
1.ans: No the tension in the string of a simple pendulum is not constant throughout the motion
v is velocity of the bob and theta is the angle made by the string with vertical axis.as v and both are variable T is also variable.T is maximum at mean position as at mean position v is max and the angle is minimum.
2.ans: If the amplitude of the simple...
routine of nikas banda