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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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Ashok Shah • over 2 years ago

Hey everyone, Today, I want to take a moment to revisit something special that happened recently. I was invited to my college where I completed my 11th and 12th to share my experiences from my +2...

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Kumar Tomta • about 4 years ago

School life is the best memorable part of life

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Sarthak Shakya • almost 4 years ago

निराशा

जीवनमा पलाएका ती नौलो आशाहरू,
पूरा हुन नपाई बिलाई सकेछ ।
याँहा को छर आफनो भनेर बोलाउ,
आफनो भनने सबै पराई भई सकेछ ।
हृदयमा फुलेका ती परितका फुल,
तिमरो माया नपाई आोईलि दिएछ ।
फकरिन लागेको आशाको दियो पनि
निराशाको भावमा खाग बनी खरानी भएछ ।।

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Ashutosh Thapa • over 3 years ago

Guys I've exams from tomorrow

"PHYSICS "

Wish me luck!!!!

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NANDANI KUMARI • asked a question

Following reactions occur at cathode during the electrolysis of aqueous copper (II) chloride solution:

Cu2+(aq) + 2 e-2 ———–> Cu(s) E = + 0.34 V

H+(aq) + e-1 ————-> 1/2H2(g) E = 0.00 V

On the...

SinceECu2+/CuECu2+/Cuhas a greater positive value thanEH+/HEH+/H, the reaction that is feasible at the cathode is

Cu2+(aq)+2eCu(s)

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Raunak Kumar • asked a question

Why is the sky blue?

The Short Answer:

Sunlight reaches Earth's atmosphere and is scattered in all directions by all the gases and particles in the air. Blue light is scattered more than the other colors because it travels as shorter, smaller waves. This is why we see a blue sky most of the time.

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