Explain, why are boiling points of carboxylic acids higher than corresponding alcohols.Ans;Because of their ability to form intermolecular hydrogen bonding, carboxylic acids have high boiling point...

Why are boiling points of carboxylic acid higher than the corresponding alcohols?

Starting from CH3Mgl, how would you prepare 2-methyl propan-2-ol ?

Find the square root of 612 with an error less than 10-4 by newton-rapson method.

We have to find x such that 

 x²=612

The derivative of 

f(x) = x²-612

is f’(x) = 2x

With an initial guess of x₀=10, the sequence given by the method is 

X₁= x₀ -(f(x₀) /f'(x₀)) = 10-(10²-612)/(2*10)= 35.6

x2 = x1 - (f(x₁)/f'(x₁)) = 26.3955056

Similarly,

x3 = 24.7906355

x4 = 24.7386883

x5 = 24.7386338

Where the correct digits are underlined.

f(24.7386338) = (24.7386338)2-612 = 0.0000022905 <10-4

The required square root is 24.7386338.