linear approximations and error when only given one factor?

[etidd]

hello, i'm very confused in this area.

#23 from my book says

estimate the quantity using the linear approximation and find the error.

ln(0.97) :?:

df = f '(a) * dx (estimation)

df = f (a + df) - f(a)

could i use ln 0 or 1 to compare? help!!!

#55
(17) ^ 1/4 :?: :?: :?:

#59
ln(1.07)

your help is appreciated.

 

[Deleted member 4993]

hello, i'm very confused in this area.

#23 from my book says

estimate the quantity using the linear approximation and find the error.

ln(0.97) :?:

df = f '(a) * dx (estimation)

df = f (a + df) - f(a)

could i use ln 0 or 1 to compare? help!!!

#55
(17) ^ 1/4 :?: :?: :?:

#59
ln(1.07)

your help is appreciated.

use Taylor's series

ln(1+x) = x.... linear approximation