What is the magnitude of the rate of change of temperature

Reference no: EM131010150

A happy heat-loving bug is wandering on a hot plate. The temperature at any point on the plate is given by

T(x, y) = 210e^{-(x^2/5)-(y^2/2)}

If the bug is at the point P = (-3,3) and moving towards the point Q = (3,2), what is the rate of change in the temperature in the direction of its motion?

In what direction should the bug move from P for the temperature to increase the fastest?

What is the magnitude of the rate of change of temperature in that direction?

Reference no: EM131010150

Questions Cloud

About investors expectations of future interest rates : If the risk free yield curve is inverted (long term risk free interest rates are lower than short term risk free interest rates), what is this likely to imply about investor’s expectations of future interest rates?

Is the variable literacy level categorical or numerical : Would it be appropriate to display the given information using a dotplot? Explain why or why not. Construct a bar chart to display the given data on literacy level.

About the portfolio return : Portfolio Return: At the beginning of the month, you owned $6,200 of Company G, $8,400 of Company S, and $1,800 of Company N. The monthly returns for Company G, Company S, and Company N were 7.65 percent, -1.54 percent, and -.19 percent. What is your..

Summarize the article and identify key points of the article : In the article reviews, 1) summarize the article, 2) identify the key points of the article, 3) summarize what you learned from the article

What is the magnitude of the rate of change of temperature : In what direction should the bug move from P for the temperature to increase the fastest? What is the magnitude of the rate of change of temperature in that direction?

Describe the different options that coach presently faces : Coach Inc.'s profit and sales fell over the holidays, and Wall Street is concerned the retailer's plan to improve its performance by going upmarket may not work out. Describe the different options that Coach presently faces, and explain the tradeoffs..

Which of these variables are discrete numerical : Which type of graphical display would be an appropriate choice for summarizing the gender data, a bar chart or a dotplot? Which type of graphical display would be an appropriate choice for summarizing the weight data, a bar chart or a dotplot?

Which investment was relatively more risky : Lara Fredericks is interested in two mutually exclusive investments. Both investments cover the same time horizon of 6 years. The cost of the first investment is $10,000; Lara expects equal and consecutive year-end payments of $3,000. Which investmen..

Prevent value of inflow that is less than initial investment : Valley Corporation is attempting to select the best of a group of independent projects competing for the firm's fixed capital budget of $4.5 million. The firm recognizes that any unused portion of this budget will earn less than its 15% cost of capit..

User Account

All Pages