Question

For the following vector fields F , decide whether it is conservative or not by computing...

For the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, ∇f=F∇f=F). If it is not conservative, type N.

F(x,y,z)=−2x2i+3y2j+8z2k

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

please rate affirmatively if you are happy with my explaination

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For each of the following vector fields F , decide whether it is conservative or not...
For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, ∇f=F). If it is not conservative, type N. A. F(x,y)=(−4x+3y)i+(3x+16y)j f(x,y)= B. F(x,y)=−2yi−1xj f(x,y)= C. F(x,y,z)=−2xi−1yj+k f(x,y,z)= D. F(x,y)=(−2siny)i+(6y−2xcosy)j f(x,y)= E. F(x,y,z)=−2x2i+3y2j+8z2k
(1 point) For each of the following vector fields F , decide whether it is conservative...
(1 point) For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, ∇f=F). If it is not conservative, type N. A. F(x,y)=(10x+7y)i+(7x+10y)j f(x,y)= 10 B. F(x,y)=5yi+6xj f(x,y)= N C. F(x,y,z)=5xi+6yj+k f(x,y,z)= D. F(x,y)=(5siny)i+(14y+5xcosy)j f(x,y)= E. F(x,y,z)=5x2i+7y2j+5z2k
For each of the following vector fields F , decide whether it is conservative or not...
For each of the following vector fields F , decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, ∇?=?) with ?(0,0)=0. If it is not conservative, type N. A. ?(?,?)=(6?−6?)?+(−6?+12?)? ?(?,?)= -6xsiny + y^2 B. ?(?,?)=3??+4?? ?(?,?)= N C. ?(?,?)=(3sin?)?+(−12?+3?cos?)? ?(?,?)= 0 Note: Your answers should be either expressions of x and y (e.g. "3xy + 2y"), or the letter "N"
For each of the following vector fields F , decide whether it is conservative or not...
For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, ∇f=F∇f=F ). If it is not conservative, type N. A. F(x,y)=(−10x+3y)i+(3x+10y)jF(x,y)=(−10x+3y)i+(3x+10y)j f(x,y)=f(x,y)= B. F(x,y)=−5yi−4xjF(x,y)=−5yi−4xj f(x,y)=f(x,y)= C. F(x,y,z)=−5xi−4yj+kF(x,y,z)=−5xi−4yj+k f(x,y,z)=f(x,y,z)= D. F(x,y)=(−5siny)i+(6y−5xcosy)jF(x,y)=(−5sin⁡y)i+(6y−5xcos⁡y)j f(x,y)=f(x,y)= E. F(x,y,z)=−5x2i+3y2j+5z2kF(x,y,z)=−5x2i+3y2j+5z2k f(x,y,z)=f(x,y,z)= Note: Your answers should be either expressions of x, y and z (e.g. "3xy + 2yz"), or the letter "N"
Determine whether or not the vector field is conservative. If it is conservative, find a function...
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.) F(x, y, z) = 8xyi + (4x2 + 10yz)j + 5y2k Find: f(x, y, z) =
Determine whether or not F is a conservative vector field. If it is, find a function...
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.) F(x, y) = (y2 − 8x)i + 2xyj
Determine whether or not F is a conservative vector field. If it is, find a function...
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.) F(x, y) = (y2 − 8x)i + 2xyj
Which of the following vector fields are conservative? (i)  F(x, y)  =  (7x6y6 + 3) i  ...
Which of the following vector fields are conservative? (i)  F(x, y)  =  (7x6y6 + 3) i  +  (6x7y5 + 7) j (ii)  F(x, y)  =  (6ye6x + sin 3y) i  +  (e6x + 3x cos 3y) j (iii)  F(x, y)  =  7y2e7xy i  +  (7 + xy) e7xy j
Show that the vector field F(x,y,z)=(−5ycos(−5x),−5xsin(−5y),0)| is not a gradient vector field by computing its curl....
Show that the vector field F(x,y,z)=(−5ycos(−5x),−5xsin(−5y),0)| is not a gradient vector field by computing its curl. How does this show what you intended? curl(F)=∇×F=( ? , ? , ?).
a. Is F(x,y,z)= <(e^z)siny,(e^z)cosx,(e^x)siny> a conservative vector field? Justify. b. Is F incompressible? Explain. Is it...
a. Is F(x,y,z)= <(e^z)siny,(e^z)cosx,(e^x)siny> a conservative vector field? Justify. b. Is F incompressible? Explain. Is it irrotational? Explain. c. The vector field F(x,y,z)= < 6xy^2+e^z, 6yx^2 +zcos(y),sin(y)xe^z > is conservative. Find the potential function f. That is, the function f such that ▽f=F. Use a process.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT