The temperature at a point (x, y, z) is given byT(x, y, z) = 400e^(-x-5y-9z)where...
50.1K
Verified Solution
Link Copied!
Question
Calculus
The temperature at a point (x, y, z) is given byT(x, y, z) = 400e^(-x-5y-9z)where T is measured in C and x, y, z in meters.(a) Find the rate of change of temperature (in C/m) at the point P(2, -1, 4) in the direction toward the point (3, -5, 6).(b) In which direction does the temperature increase fastest at P?(c) Find the maximum rate of increase at P.
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
