Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

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

Explain solution RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 9 sub question (xxvii) maths

Answers (1)

Answer: 7.904

Hint: Here we use this below formula

        \Delta y=f(x+\Delta x)-f(x)

Given: (3.968)^{\frac{3}{2}}

Solution: \text { let } y=f(x)=x^{\frac{3}{2}}, x=4

\begin{aligned} &x+\Delta x=3.968 \\\\ &\Delta x=-0.032 \\\\ &\Delta y=\left[\frac{d y}{d x}\right]_{x=4} \times \Delta x \end{aligned}

\begin{aligned} &\Delta y=\left[\frac{3}{2} x^{\frac{1}{2}}\right]_{x=4} \times \Delta x \\\\ &\Delta y=\frac{3}{2} \times 2(-0.032)(0.096) \\\\ &(3.968)^{\frac{3}{2}}=f(x+\Delta x) \end{aligned}

\begin{aligned} &=f(x)+\Delta y \\\\ &=8-0.096 \\\\ &=7.904 \end{aligned}

 

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 12 history paper 2025 moderately difficult, tested students’ understanding
anam-khan

CBSE Class 12 Computer Science Exam Analysis 2025: Paper 'moderate', but 'tougher' than last three years
anam-khan

CBSE Class 12 Accountancy Exam Analysis 2025: Paper ‘moderate', includes application-based questions

Latest Question