Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class 12 chapter Differentials Errors and Approximations exercise 13.1 question 9 sub question (ix)

Provide solution for RD Sharma maths class 12 chapter Differentials Errors and Approximations exercise 13.1 question 9 sub question (ix)

Answers (1)

best_answer

Answer: 2.3046

Hint: Here we use

        \Delta y=f(x+\Delta x)-f(x)

Given: \log e 10.2=2.3026

Solution:

Consider y=\operatorname{loge} x

Here x=10 \text { and } \Delta x=0.02

By Differentiating  w.r.t x,

So we get

\Delta y=\frac{d y}{d x} \Delta x

\Rightarrow \Delta y=\frac{d y}{d x} \Delta x=\frac{1}{10} \times 0.02

on further calculation

\begin{aligned} &\Delta y=\frac{0.02}{10}=0.002 \\\\ &\Rightarrow \Delta y=f(x+\Delta x)-f(x) \\\\ &0.002=\operatorname{loge}(10+0.02)-\operatorname{loge} 10 \end{aligned}

It can be written as

0.002=\operatorname{loge} 10.02=2.3026

We get,

\log 10.02=2.3026

 

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10, 12 compartment 2024 exams today for 2.5 lakh students; exam timings, guidelines
anam-khan

CBSE compartment admit card 2024 out at cbse.gov.in; exams from July 15
anam-khan

Reports saying CBSE cannot conduct board exams twice a year currently ‘totally incorrect’; board denies claims

Latest Question