Asked by Stella
The region R is defined by 1(</=)x(</=)2 and 0(</=)y(</=)1/(x^3).
Find the number 'b' such that the line y=b divides R into two parts of equal area.
Find the number 'b' such that the line y=b divides R into two parts of equal area.
Answers
Answered by
drwls
Evaluate the integral of 1/x^3 from x = 1 to x = 2. That is the enclosed area of the region. I get 3/8. See what you get.
Then pick the upper limit of integration, b, such that the integral of 1/x^3 from 1 to b is half the number you got for the full integral.
Then pick the upper limit of integration, b, such that the integral of 1/x^3 from 1 to b is half the number you got for the full integral.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.