Thursday

July 31, 2014

July 31, 2014

Posted by **APPRECIATIVE STUDENT** on Wednesday, January 19, 2011 at 8:57am.

I don't know how to do this, so if you could explain step by step how to do this, that would be really good....

"A rough approximation for ln(5) is 1.609. Use this apporximation and differentials to approximate ln(521/100)

thanks

- math -
**Reiny**, Wednesday, January 19, 2011 at 12:03pmlet y = ln(x)

x = 5

dy/dx = 1/x

dy = (1/x)dx

dx = 521/100 - 5 = .21 , y = ln(5) = 1.609

dy = (1/5)(.21) = .042

ln(521/100)

= ln (5.21) = appr. y + dy

= 1.609 + .042 = 1.651

check: ln(5.21) = 1.6505 (by calculator)

not bad

**Related Questions**

Algebra help - f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this? This is...

algebra-trig - Can someone please explain to me how to graph sine and cosine ...

algebra-trig - Can someone please explain to me how to graph sine and cosine ...

Quick math help - In which step below does a mistake first appear in simplifying...

ALGEBRA HELP - When solving the equation, what property was used to go from step...

math - please - How do we manually calculate the Present Value of annuity step ...

math - Natasha has to determain the number of toothpicks in the 15th step, step ...

Math - Step 1 = 3 boxes Step 2 = 6 boxes Step 3 = 11 boxes Step 4 = 18 boxes How...

Math - How would you explain how to do this problem step by step in words? The ...

Math - How would I factor this? (x-3)^3+ (3x-2)^3 Can someone explain this to me...