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Arya Jha • asked a question

Using bisection method, find the root of the equation f(x)=x2 -6logx-3=0(2<=x<=3)'correct to 4 decimal places with an accuracy of 10 -2 .

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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Kaushal Ghimire • over 1 year ago

The Moon

Silent and still, the moon shines bright
In the dark, clear sky
Peaceful and calm, the night
A soothing balm to the weary eye

The moon, a glowing orb of light
Illuminates the path ahead
As the night wind whispers through the trees
And the stars twinkle overhead

So let us lay down and rest
And let the moon and night provide
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That we all need to feel alive

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Mousham khatiwada • almost 1 year ago


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Rabin Kalikote

Happy Mother's Day, sir.

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Laxman Khatri • about 1 year ago

Define quality of life




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SONU NIGAM SAH

Quality of life refers to the overall well-being, satisfaction, and happiness that an individual or a community experiences in various aspects of their lives.

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What can be the meaning of his wife's dream?

The meaning of his wife's dream is a sign of a bad omen.

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Bikash T. Magar • asked a question

Why it is much more difficult to balance yourself on a bicycle that is at rest than on one that is rolling?

Balance on a bicycle is a matter of constantly correcting against falls, and it's easier when the speed is higher because the inertia of moving forward overcomes the need for corrective actions.

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