Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

dryicegrl Group Title

The temperature at a point (x,y) on a flat metal plate is given by T(x,y)=19/(2+x^2+y^2), where T is measured in Celsuis and x,y in meters. Find the rate of change of temperature with respect to distance at the point (1,2) in the following directions. (a) the x-direction (b) the y-direction

  • 3 years ago
  • 3 years ago

  • This Question is Closed
  1. 3pwood Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Just need to take partial derivatives of the function with respect to x and y then plug in the point coordinates dT/dx = -38x/(2 + x^2 + y^2)^2 dT/dy = -38y/(2 + x^2 + y^2)^2 (only difference is the y in the numerator) so at point 1,2 dT/dx = -38/49 = -0.7755 dT/dy = -76/49 = -1.551

    • 3 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.