The temperature in degrees Celsius on the surface of a metal plate is given by 7(x, y),
Question:
The temperature in degrees Celsius on the
surface of a metal plate is given by 7(x, y), where x and y are
measured in centimeters. Find the direction from point P
where the temperature increases most rapidly and the rate of
increase.
T(x, y) = 80 - 3x² - y², P(-1, 5)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
Tx y 80 3x y P1 5 VTx y 6xi ...View the full answer
Answered By
Rukhsar Ansari
I am professional Chartered accountant and hold Master degree in commerce. Number crunching is my favorite thing. I have teaching experience of various subjects both online and offline. I am online tutor on various online platform.
5.00+
4+ Reviews
17+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The temperature in degrees Celsius on the surface of a metal plate is given by 7(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most...
-
The upper surface of a metal plate is being cooled with parallel air flow while its lower surface is subjected to a uniform heat flux of 810 W/m2. The air has a free stream velocity and temperature...
-
The function converts a temperature from C degrees Celsius to F degrees Fahrenheit. (a) Express the temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F. (b)...
-
The difference between case law and common is which of the following? O Common law creates law and case law interprets existing law. There is no difference. Case law is criminal law and common law is...
-
Describe the disc diffusion test for antibiotic susceptibility. Why should potential pathogens from patient isolates be tested for antibiotic susceptibility?
-
In the Learning from Experience feature, John Thompson is reported as emphasizing that leaders need personal integrity and a relentless focus on people. Also, he says leaders need to take time to...
-
Discuss the criminal trial process.
-
How does deferred or unearned revenue arise? Why can it be classified properly as a current liability? Give several examples of business activities that result in unearned revenues.
-
Calculate the missing information. Round dollars to the nearest cent and percents to the nearest tenth of a percent. Item Cost Amount of Markup Selling Price (in $) Percent Markup Based on Cost Bar...
-
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If is continuous for all nonzero x and y, and (0, 0) = 0, then limf(x, y) =...
-
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If lim f(0, y) = 0, then lim f(x, y) = 0. (x, y)(0, 0) (x, y)(0, 0)*
-
Isopropyl alcohol, also known as rubbing alcohol, is very toxic if ingested. This is because it acts to destroy the digestive proteins and other important biomolecules in your stomach. Do this...
-
If no current flows through the galvanometer, what can you say about the potentials at the two points in the circuit that it is connected to?
-
A sample of gas absorbs 22.1J of heat from the surroundings and expands from 5.65L to 14.6L against a constant external pressure of 0.274bar. What is the internal energy change for the gas?
-
A battery with an emf of 1 8 V delivers a constant current of 2 . 4 mA to a device. How much work does the battery do in 4 minutes? Express your answer in J , to at least one digit after the decimal...
-
A rectangular block of a metal has a mass of 502. g and measures 5.85 cm by 2.07 cm by 1.18 cm. Given this information what is the density of this rectangular block of metal (in g/cc)?
-
Light strikes a 6-cm thick Lucite slab of index of refraction 1.56 at an incident angle of 41. The exit point of the light ray is laterally shifted as a result of refraction. Find the distance of...
-
In late 2008, The Globe and Mail raised some concerns about the way provincial governments account for their revenues and implied that some of these practices are inappropriate. Entitled B.C.s...
-
Burberrys competitive advantage is through its differentiation strategy. What risk should Burberry remain aware of?
-
A coin is weighted so that heads is four times as likely as tails to occur.What probability should we assign to heads? to tails?
-
A coin is weighted so that tails is twice as likely as heads to occur.What probability should we assign to heads? to tails?
-
A die is weighted so that an odd-numbered face is twice as likely to occur as an even-numbered face. What probability should we assign to each face?
-
Juett Company produces a single product. The cost of producing and selling a single unit of this product at the company's normal activity level of 70,000 units per month is as follows: Direct...
-
Marwick s Pianos, Incorporated, purchases pianos from a large manufacturer for an average cost of $ 1 , 4 9 9 per unit and then sells them to retail customers for an average price of $ 2 , 3 0 0...
-
I don t see that in my intermediate accounting text I saved from college, you explain to another member of the accounting division of Dowell Chemical Corporation. This will take some research. Your...
Study smarter with the SolutionInn App