Question

(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

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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∇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"
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
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
Consider the vector field →F=〈3x+7y,7x+5y〉F→=〈3x+7y,7x+5y〉 Is this vector field Conservative? yes or no If so: Find...
Consider the vector field →F=〈3x+7y,7x+5y〉F→=〈3x+7y,7x+5y〉 Is this vector field Conservative? yes or no If so: Find a function ff so that →F=∇fF→=∇f f(x,y) =_____ + K Use your answer to evaluate ∫C→F⋅d→r∫CF→⋅dr→ along the curve C: →r(t)=t2→i+t3→j,  0≤t≤3r→(t)=t2i→+t3j→,  0≤t≤3
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) =
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
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
F(x, y, z) = sin y i + (x.cos y + cos z) j – y.sinz...
F(x, y, z) = sin y i + (x.cos y + cos z) j – y.sinz k a) Determine whether or not the vector field is conservative. b) If it is conservative, find the function f such that F = ∇f .
Consider the following vector field. F(x, y, z)  =  6yz ln x i  +  (3x −...
Consider the following vector field. F(x, y, z)  =  6yz ln x i  +  (3x − 7yz) j  +  xy8z3 k (a) Find the curl of F evaluated at the point (5, 1, 4). (b) Find the divergence of F evaluated at the point (5, 1, 4).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT