Let D be a solid heat-conducting cube formed by the planes x = 0, x = 1,
Question:
Let D be a solid heat-conducting cube formed by the planes x = 0, x = 1, y = 0, y = 1, z = 0, and z = 1. The heat flow at every point of D is given by the constant vector Q = (0, 2, 1).
a. Through which faces of D does Q point into D?
b. Through which faces of D does Q point out of D?
c. On which faces of D is Q tangential to D (pointing neither in nor out of D)?
d. Find the scalar component of Q normal to the face x = 0.
e. Find the scalar component of Q normal to the face z = 1.
f. Find the scalar component of Q normal to the face y = 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
a The faces on y 0 and z 0 b The faces on y 1 and z 1 c The faces on r ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Use a computer algebra system to plot the vector field F(x, y, z) = sin x cos 2 y i + sin 3 y cos 4 z j + sin 5 z cos 6 x k in the cube cut from the first octant by the planes x = y 2 , y = y 2 , and...
-
Graph the solid that lies between the surface z = 2xy/)x 2 + 1) and the plane z = x + 2y and is bounded by the planes x = 0, x = 2, y = 0, and y = 4. Then find its volume.
-
Find the mass and center of mass of the solid E with the given density function p. E is the tetrahedron bounded by the planes x = 0, y = 0, z = 0, x + y + z = 1; p(x, y, z) = y
-
International Accounting Standard No. 21, "The Effects of Changes in Foreign Exchange Rates," deals with foreign currency. It was originally issued in 1983 and was revised and reissued in 1993 as...
-
What design modifications would you recommend for the part shown in Problem 11.75? Explain your reasoning.
-
Write a program that views, inserts, and updates staff information stored in a database, as shown in Figure 34.27a. The View button displays a record with a specified ID. The Insert button inserts a...
-
The enzyme lipase catalyzes the hydrolysis of esters of fatty acids. The hydrolysis of p-nitrophenyloctanoate was followed by measuring the appearance of p-nitrophenol in the reaction mixture: The...
-
FIFO and LIFO Effects You are the vice president of finance of Mickiewicz Corporation, a retail company that prepared two different schedules of gross margin for the first quarter ended March 31,...
-
Recall the definition of big-O: a function f(n) = O(g(n)) if c = R+, n = 1, Vn N1, (n no) f(n) c g(n) For the following pairs of functions, give a formal proof of each claim. a. [4 marks] If f(n) 17n...
-
(a) The mass of 1H in Table 21-1 is 1.007 825 Da. Compare it with the sum of the masses of a proton and an electron given in the table. (b) 2H (deuterium) contains one proton, one neutron, and one...
-
Suppose water flows in a thin sheet over the xy-plane with a uniform velocity given by the vector v = (1, 2); this means that at all points of the plane, the velocity of the water has components 1...
-
The German mathematician Gauss proved that the densest way to pack circles with the same radius in the plane is to place the centers of the circles on a hexagonal grid (see figure). Some molecular...
-
Suppose an investor is concerned about a business choice in which there are three prospectsthe probability and returns are given below: Probability Return 0.4 .. $100 0.3 .. 30 0.3 ..... -30 What is...
-
List four influences that may prevent international environmental policy from achieving social efficiency and explain a specific solution for any two of them.
-
Globalization may permit firms to shop across countries to find low environmental standards. Explain the remedy you favor for this practice.
-
The reforms introduced in the banking system after the financial crisis of 20072009 have sometimes been criticized by federation of bankers, who warned that requiring banks to hold more capital and...
-
After the global financial crisis, the central banks that fall within the framework of the Bank of International Settlement (BIS) set up the Basel III agreement in 2010. This new agreement includes...
-
As the director of the World Bank, what one question would you add to those listed in the section on the World Bank and the IMF as a consideration prior to the adoption of a policy?
-
Describe two major environmental changes that you expect to have a major impact on the wholesale food industry in the next 10 years.
-
6 (a) Briefly develop a mathematical model of the behaviour of a copper-twisted pair cable (b) Derive the magnetic energy from: w given that: K + w, where the - - k symbols have their usual meaning...
-
Find the absolute maximum and minimum values of on the region R. (x, y) = 2x + 2y - x 2 - y 2 R: The square region bounded by the coordinate axes and the lines x = 2, y = 2 in the first quadrant
-
Find the absolute maximum and minimum values of on the region R. (x, y) = y 2 - xy - 3y + 2x R: The square region enclosed by the lines x = 2 and y = 2
-
Find the absolute maximum and minimum values of on the region R. (x, y) = x 2 - y 2 - 2x + 4y + 1 R: The rectangular region in the first quadrant bounded by the coordinate axes and the lines x = 4...
-
Using the data above, fill out the missing information below: The average of the variable score is 45 The average of the variable submission is 1.2 The sample variance of the submission is 1.7 . The...
-
Financial information is presented here for two companies. (a) Fill in the missing amounts. Sales revenue Sales returns and allowances (a) Crane Company Bramble Company $94,000 (d) $ 5,400 87,000...
-
Hartford Research issues bonds dated January 1 that pay interest semiannually on June 30 and December 31. The bonds have a $40,000 par value and an annual contract rate of 10%, and they mature in 10...
Study smarter with the SolutionInn App