Question

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

Answer 1

Hi andrea723 :)

are you there sir?

Answer 2

here

Answer 3

\[\frac{1}{\sqrt{99}}-\frac{1}{\sqrt{98}}\]

Is this your question look like?

Answer 4

yes

Answer 5

do you know the formula for linear approximation?

Answer 6

yes f(a)+f^1(a)(x-a)?

Answer 7

hello :) are yo still there?

Answer 8

yes sorry

Answer 9

formula for linear approximation is given as.\[\large f(x)\approx f(x_0)-f'(x_0)(x-x_0)\]

Answer 10

find derivative of your function. and tell me.

Answer 11

-1/2x^(-3/2)?

Answer 12

OK. what did you choose x? and also a?

Answer 13

isnt it 99 and 98?

Answer 14

yes x=99 and 98 what about a?

Answer 15

100??

Answer 16

Hi andrea723 first we have to calculate separate for 1/sqrt(99) and then 1/sqrt(98) and then we will subtract both answers. That will be your require answer.

Answer 17

i got -5.11e^(-4)?

Answer 18

is it all your answer?

Answer 19

If so then your answer is right.

Answer 20

i dont know when i submit that answer online is doesnt work thank you so much anyway

Answer 21

If you still have confusion then you can ask me. But I am pretty sure that your answer is correct even you can ask it anyone here.

Good luck friend :)