Find the maximum rate of increase at p

Reference no: EM13177347

The temperature in Celsius(degrees) at the point (x,y,z) where x, y, z are measured in meters given by T(x,y,z)=
1/x^2+2y^2+3z^2.

a) Find the rate of change in temperature at the point P(1,0,-1) in the direction toward the point Q(2,1,-2).

b) In what direction does the temperature increase fastest at P.

c) Find the maximum rate of increase at P.

Reference no: EM13177347

Questions Cloud

Does budget constraint become steeper or flatter : Suppose the price of housing increases to 3, but the price of food stays at 10. Rewrite Jane's budget constraint and draw it on a graph. Now suppose the price of housing decreases to 1. Rewrite her budget constraint again.

What is the mean time between successive inquiries : Inquiries of the Poisson Portal interactive query system arrive at the central computer in a Poisson pattern at an average rate of 13 inquiries per minute.

What happens to budget constraint when m increases : Graph Jay's budget constraint when her income is 50, and the price of housing and food is 2 and 10 respectively. What happens to her budget constraint when M increases?

Describe economic efficiency : You are a member of the Metropolitan Taxi Commission, which sets taxi fares for your city. You have been told that long lines of taxis form at the airport during off peak hours. At peak hours, on the other hand, few taxis are available and long li..

Find the maximum rate of increase at p : Find the maximum rate of increase at P.

Find the equilibrium temperature : Assuming all the heat lost by the body is absorbed by the water , find the temperature of the body and of the water at any time. Find the equilibrium temperature?

Describe a favorite recreational activity in terms : Describe a favorite recreational activity in terms of its iterative components, such as solving a crossword or Sudoku puzzle or playing a game of chess or backgammon. Also, mention any recursive elements that occur.

Explain important criticisms of the forecasting : a. What are your views regarding economic forecasting? In particular, share any experiences you may have had with business forecasts for company budgets. b. Discuss some of the important criticisms of the forecasting.

Which of the statements is true regarding the f-distribution : Which of the following statements is true regarding the F - distribution?

User Account

All Pages