Tuesday

March 31, 2015

March 31, 2015

Posted by **Paul** on Friday, November 7, 2008 at 1:43am.

What approximation do you suppose the engineers and physicists would use for the quantity (1+x)^(3/2)

- Math -
**drwls**, Friday, November 7, 2008 at 6:13amThe approximation is only good when x is much less than 1.

It is obtained from the Taylor series rule

f(x) = f(0) + f'(0) * x

= 1 + (3/2)*(1+x)^(1/2)*x + ...

(evaluated at x=0)

= 1 + (3/2)x

**Answer this Question**

**Related Questions**

Math - Use Newton's method to approximate a root of the equation 5sin(x)=x as ...

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...

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

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 ...

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...

Calculus - Use Newton's method to approximate a root of the equation (2 x^3 + 4 ...

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...

Math - Use differential, (i.e. linear approximation), to approximate cube root ...

CALC - Use Newton's method to approximate a root of the equation x3+x+3=0 as ...