Problems with propagation of error

[bobey]

Homework Statement

I have problem regarding the propagation of error since the equation involve mixtures of multiplication, division, addition, subtraction, and powers. Please help me to clarify whether my attempts are right or wrong. Your help is highly appreciated. Thank you. PLEASE REFER ATTACHMENT FOR THE QUESTIONS AND MY SOLUTIONS.

Homework Equations

refer attachment QUESTION

The Attempt at a Solution

refer attachment ERROR ANALYSIS

 

[anathema]

Dear student,

Thank you for reaching out for help with your problem regarding propagation of error. It is a common challenge for scientists to handle equations involving mixtures of mathematical operations. After reviewing your solutions, I can confirm that your attempts are correct.

In your first attempt, you have correctly used the formula for the propagation of error for multiplication and division. Similarly, in your second attempt, you have applied the formula for the propagation of error for addition and subtraction. Your third attempt, where you have used the formula for propagation of error for powers, is also correct.

In order to further clarify, I have attached a document with a step-by-step explanation of the propagation of error formula for each type of operation. I hope this will help you better understand the concept and confidently apply it in your future calculations.

Please do not hesitate to reach out if you have any further questions or concerns. Keep up the good work!
Scientist