Question

estimate the quantity using linear approximation 1/sqrt (99)- 1/sqrt(98)

Answer 1

find the linearization of \(\displaystyle\frac{1}{\sqrt{x}}\)

Answer 2

im not sure what the linearization would be

Answer 3

let \[f(x)=\displaystyle\frac{1}{\sqrt{x}}\]

then \[L(x)=f'(a)(x-a)+f(a)\]

Answer 4

ok i got that and then i subtract the two answers right?

Answer 5

sure

Answer 6

is -.50000 right ? i am having trouble finding the answer

Answer 7

no

Answer 8

i get \[-5\times10^{-4}\]

Answer 9

oh yea i redid it and got that too thanks