Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. the temperature at a point (x,y,z) is given by t(x

The temperature at a point (x,y,z) is given by T(x,y,z)=200e^(-x^2-y^2/4-z^2/9) , where T is measured in...

90.2K

Verified Solution

Question

Basic Math

The temperature at a point (x,y,z) is given byT(x,y,z)=200e^(-x^2-y^2/4-z^2/9) , where T is measured in degreesCelsius and x,y, and z in meters. just try to keep track of whatneeds to be a unit vector. a) Find the rate of change of thetemperature at the point (1, 1, -1) in the direction toward thepoint (-5, -4, -3). b) In which direction (unit vector) does thetemperature increase the fastest at (1, 1, -1)? c) What is themaximum rate of increase of T at (1, 1, -1)?

Answer & Explanation Solved by verified expert
4.3 Ratings (671 Votes)
    See Answer
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!
Become a Member

Other questions asked by students

Advance Math
1.2K views

Prove that all rotations and translations form a subgroup of the group of all reflections and...

Chemistry
1.2K views

This is all one question, but it is broken into several parts. What is the difference between...

Medical Sciences
1.2K views

How does contaminated water affect the kidney?  discuss the following, if applicable: how structures may change (think organ...

Biology
1.2K views

ord FO transfigure means a turning or change from one thing to another

Biology
1.2K views

21 What membrane potential triggers the opening of the voltage gated Na channels 55 mv...

Physics
1.2K views

An 8 kg box at rest on the ground is pushed by a force for...

Statistics
1.2K views

What italicized letter represents correlation Ot Or Oz Os O

Calculus
1.2K views

For the function I X CSC X set the moving point to a value of...

Accounting
1.2K views

2. Chapter 26 Sened The adjusted trial balance for China Tea...

Accounting
1.2K views

Project Calculator Print tem Mastery Problem: Evaluating Decentralized Operations BOR CPAS, Inc. BOR CPAS, Inc....

Accounting
1.2K views

The following information is available from the current period financial statements: Line Item Description...

Accounting
1.2K views

On December 1, 2020, Star Incorporated, a U.S. company, sells parts to a French company,...