trigonometric substitution

Calculus
Tutor: None Selected Time limit: 1 Day

Jun 3rd, 2015

Thank you for the opportunity to help you with your question!

Dividing both sides of the initial equation by 3x and multiplying both sides by dx gives the equation:

dy = (sqrt(x^2-25)/(3x))dx

This equation can be integrated leaving the equation:

y = (1/9)(sqrt(x^2-25)^(3/2)) + C.

Plugging in the point (5,3) means C = 3 so the final answer is:

y = (1/9)(sqrt(x^2-25)^(3/2)) + 3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Jun 3rd, 2015
...
Jun 3rd, 2015
Dec 9th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer