A community for students.
Here's the question you clicked on:
 0 viewing
dryicegrl
 4 years ago
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 xdirection
(b) the ydirection
dryicegrl
 4 years ago
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 xdirection (b) the ydirection

This Question is Closed

3pwood
 4 years ago
Best ResponseYou've already chosen the best response.1Just 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
Ask your own question
Sign UpFind more explanations on OpenStudy
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...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 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.