Slove F Details Answer 00174 Dont Use Computer Programs Q37082018

slove for f in details. the answer should be 0.0174. dont usecomputer programs
2.0g(0,000042 ID 2.51 2.51 3.7 126.400 vf vf 12.0g(0,000042 ID 2.51 2.51 3.7 126.400 vf vf 1 Show transcribed image text 2.0g(0,000042 ID 2.51 2.51 3.7 126.400 vf vf 1


Solution


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Initializes a=0.1, b=1 and f=@(x)1/sqrt(x)+2*log10(e/(3.7*D)+2.51/(Re*sqrt(x)))
f(a)=f(0.0100000000)=2.6441378432
f(b)=f(0.2000000000)=-6.2713755444
Check f(a)*f(b)=-16.5823814056<0
So, it has a root
Make p=a=0.0100000000
For 1 iteration
Make p=(a+b)/2=(0.0100000000+0.2000000000)/2=0.1050000000
f(a)=f(0.0100000000)=2.6441378432
f(p)=f(0.1050000000)=-5.1916624078
So, f(a)*f(p)=-13.7274710412
Sincef(a)*f(p)=f(0.0100000000)*f(0.2000000000)=-13.7274710412<0
So, make b=p=0.1050000000
So, the root after 1 iteration is 0.1050000000

Since true value is |f(p)|=5.1916624078>1e-3
So, we will continue the process

For 2 iteration
Make

OR
OR

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