Determine whether or not the vector field is conservative. If it is conservative, find a function f
Question:
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = ∇f .
F(x, y, z) = y2z3 i + 2xyz3 j + 3xy2z2 k
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
i curl F V x F aax yz y223 j k aay lz 6xyz 6xyz i 3yz 3yzj 2yz 2yz k 0 2xyz 3xyz and F is defined ...View the full answer
Answered By
Amit Kumar
I am a student at IIT Kanpur , which is one of the prestigious colleges in INDIA.
Cleared JEE Advance in 2017.I am a flexible teacher because I understand that all students learn in different ways and at different paces. When teaching, I make sure that every student has a grasp of the subject before moving on.
I will help student to get the basic understanding clear. I believe friendly behavior with student can help both the student and the teacher.
I love science and my students do the same.
4.90+
44+ Reviews
166+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Find a function f such that f(x) = x3 and the line x + y = 0 is tangent to the graph of f.
-
Find a function f such that f(3) = 2 and (t + 1)f'(t) + [f(1)] + 1 0 t +1
-
Determine whether or not the following matrices are convergent: (a) (b) (c) (d) (3 -3) 214 325 8 3 2 1 .2 6 15 2
-
L-keys, such as the one shown in the figure below, are commonly used to insert screws and bolts in medical implants. This insertion process can be simplified into the loading scenario shown in the...
-
The financial statements of Louis Vuitton are presented in Appendix F. Instructions for accessing and using the company's complete annual report, including the notes to its financial statements, are...
-
A developer acquired a parcel of unimproved real property that she would like to develop. Although the land is currently zoned for commercial use, the developer would prefer not to begin development...
-
In what ways did the social-person and human relations approach influence management?
-
In two paragraphs, describe some techniques Ryan could use to help identify internal and external duplicates in his companys marketing database. Describe how you would build a marketing database to...
-
Assume John, who is employed in Industry "X," wins $500,000 in the New Jersey lottery. What is the likely impact on the number of hours John will work and the amount of leisure time he will consume?...
-
Jacob opens a savings account in a non-leap year on August 10 with a $4,550 deposit. The account pays 4% interest, compounded daily. On August 11 he deposits $300, and on August 12 he withdraws $900....
-
The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In other words, F is indepen- dent of z and its z-component is 0.) (a) Is div F positive, negative, or...
-
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = f . F(x, y, z) = xyz 4 i + x 2 z 4 j + 4x 2 yz 3 k
-
The following items are from the 2006 balance sheet of Kellogg Company. (All dollars are in millions.) Common stock ............$ 396.9 Other assets ............5,471.4 Notes payablecurrent...
-
Is change best implemented using a top-down or bottom-up methodology in a organization
-
Did you have "aha" moments? And how will it help you and your groupmates
-
a. Extensively explain what are social networks , how do people use them and what are some of their practical business uses and its benefits to them b. Vividly explain what are some of the key...
-
list cost of tourism to host countries and suggest ways in which each cost can be minimized.
-
What method are used in the notification process in the selection decision?
-
Why is sweating an efficient mechanism for cooling off on a hot day?
-
For each equation, (a) Write it in slope-intercept form (b) Give the slope of the line (c) Give the y-intercept (d) Graph the line. 7x - 3y = 3
-
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the...
-
Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of the function at that point. f(x, y) = x + e 4y , (3,0)
-
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint(s). f(x1,x2,. f(x, x2, X) = x + x + x + x + + x = 1 + xni
-
1) We have started the process to extradite the people responsible for the OPM incident. We need to cross all of our Ts and dot all of our Is. So, you need to use the information from your readings...
-
dy Cos 4x and it passes thru (TT, 7). A curve has de Cos 4x and it Find the equation of the curve.
-
Write the following as an inequality. -9 is less than x, and 6 is greater than or equal to x Use x only once in your inequality.
Study smarter with the SolutionInn App