Friday

April 18, 2014

April 18, 2014

Posted by **Joe** on Tuesday, April 3, 2012 at 5:53pm.

- Calculus -
**MathMate**, Tuesday, April 3, 2012 at 8:48pmThe idea behind the approximation is:

y(x)=1/x

y'(x)=-1/x²

Let x=x0+Δx

y(x) = y(x0)+y'(x0)*Δx

=y(x)-Δx / (x0 ²)

Now apply x0=0.5, Δx=0.004

y(0.504)=y(0.5)-0.004/0.5²

=2-0.016

=1.984

compare to approximate actual value of

1.984126984126984

**Related Questions**

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4^(...

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4...

Math - Use linear approximation, i.e. the tangent line, to approximate 1.6^3 as ...

Math - Use linear approximation, i.e. the tangent line, to approximate sqrt[3...

linear approx - I have no idea how to do this, anyone have any hints? Use linear...

Linear Approximation - Use linear approximation, i.e. the tangent line, to ...

math - Use linear approximation, i.e. the tangent line, to approximate ((125.1...

calculus - Use differentials (or equivalently, a linear approximation) to ...

Calculus - Use linear approximation, i.e. the tangent line, to approximate (the ...

ap calculus ab - for f(x)=lnx we know that f(e)=1. Use the tangent line at(e,1) ...