This picture develops a clear understanding.

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
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. sol:
P | q | ~p | ~p ^ q |
| T T F F | T F T F | F F T T | F F T F |

You can design such dialog boxes using the following website.
https://carbon.now.sh
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...