Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 9 sub question (xxiv) maths textbook solution

Please solve RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 9 sub question (xxiv) maths textbook solution

Answers (1)

Answer: 6.05

Hint: Here we use this below formula

        \Delta y=f(x+\Delta x)-f(x)

Given: \sqrt{36.6}

Solution: y=\sqrt{x} \text { let } x=36 \text { and } A x=0.6 then,

        \begin{aligned} &\Delta y=\sqrt{x+\Delta x}-\sqrt{x} \\\\ &=\sqrt{36.6}-\sqrt{36} \\\\ &=\sqrt{36.6}-6 \\\\ &\Delta y=\sqrt{36.6}-6 \end{aligned}

now,  dy is approximate equal to  Ay and is given by.

        \begin{aligned} &d y=\left(\frac{d y}{d x}\right) d x=\frac{1}{2 \sqrt{x}}(0.6) \\\\ &\frac{1}{2 \sqrt{36}} \times 0.6=0.05 \end{aligned}

The approximate value of \sqrt{36.6} \text { is } 6+0.05=6.05

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

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question