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April 1, 2015

April 1, 2015

Posted by **ALI** on Friday, February 28, 2014 at 8:20pm.

A=?

B=?

Ty

- Calculus Please help! -
**Steve**, Saturday, March 1, 2014 at 6:28amthe linearization is just finding a straight line that is close to the curve at the given point. That is just the tangent line. So, since when

y = √(1+2x),

y' = 1/√(1+2x)

y(0) = 1

y'(0) = 1

and the point-slope form for the line is

y-1 = 1(x-0)

y = x+1

A=1 and B=1

Check the graphs at

http://www.wolframalpha.com/input/?i=plot+y+%3D+%E2%88%9A%281%2B2x%29+and+y%3Dx%2B1+for+-.1+%3C+x+%3C+.1

You can see that at (0,1) the line and the curve are very close.

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