Monday

October 20, 2014

October 20, 2014

Posted by **Z32** on Sunday, September 27, 2009 at 11:37pm.

This is my math: 5+ 1/10 * (25.2-25) but it's wrong.

- Calculus -
**drwls**, Monday, September 28, 2009 at 6:17amThe McLaurin series expansion of that function about x=25 is

f(x) = f(25) + (x-25)[f'(x) at x=25)

f'(x) = (1/2)*x^(-1/2)

f'(25) = (1/2)/5 = 1/10

Therefore

f(x) = 5 + (x-25)/10

f(25.2) = 5+ .02 = 5.02

There is nothing wrong with your answer. The correct value is

5.01996016...

Maybe they wanted you to do the last step and compute an actual numerical approximation, 5.02.

- Calculus -
**Z32**, Monday, September 28, 2009 at 6:13pmI typed in 5.01999999999 and it took it. Weird.

**Answer this Question**

**Related Questions**

Calculus - Find the local linearization of g(x)=sqrt 4x near x=2 use local ...

Calculus - Find the local linearization of f(x) near x=0 and use it to ...

AP Calculus - a)Approximate root 26 by using the linearization of y= root x at ...

Linearization 2 - ind the linearization L(x) of the function at a = -1. f(x) = x...

Calculus - Find the linearization L(x) of y=e^(7x)ln(x) at a=1. L(x)=

calculus - Find the linearization L(x) of the function at a. f(x) = x3/4, a = 81

Calculus - 1) Find the linearization of f(x) = sin(x) at x = 0 AND use it to ...

calculus - Use the linearization approximation (1+x)^k=1+kx to find an ...

calculus - Use the linearization approximation (1+x)^k=1+kx to find an ...

AP Calculus - If the linearization of y= cube root of x at x=64 is used to ...