Thanks a lot D H and jbriggs! :) I got it very clear. We just shouldn't try to fit n degree polynomial to n+1 data points to get a smooth curve and difficulty in interpolation.
But jbriggs, imho there shouldn't be any problem with huge values of coefficients if I find that from graph. Or...
I couldn't get these lines from my book. I will reproduce it here.
Warning: In step 1, if you use computer to fit a polynomial to the data , it could lead to disaster. For example, consider fitting a sixth degree polynomial to the seven data points, or, an (n-1) degree polynomial to n...
We all know that Earth's core is relatively hotter than the Earth's surface. And with this temperature gradient, there must me a loss of heat from the Earth's core to the surface and then to atmosphere and outer space by convection and radiation. So, how much time it would require for the...
ln(-2) = ln(2) + (1+2k)*pi*i
and
ln(16) = ln (16) + 2m*pi*i
I picked this equation from here: https://www.physicsforums.com/showthread.php?t=184129
Post #5 (D H's post.
Thanks a lot!