Are the following statements true or false?
1. ∫cf⃗ ⋅dr⃗ =f(q)−f(p)∫cf→⋅dr→=f(q)−f(p) w...
Mathematics, 27.01.2020 23:31 taysomoneyyy
Are the following statements true or false?
1. ∫cf⃗ ⋅dr⃗ =f(q)−f(p)∫cf→⋅dr→=f(q)−f(p) whenever pp and qq are the endpoints of the curve cc.
2. if ∫cf⃗ ⋅dr⃗ =0∫cf→⋅dr→=0 for one particular closed path, then f⃗ f→ is path-independent.
3. if f⃗ f→ is path-independent, then there is a potential function for f⃗ f→.
4. if ∫cf⃗ ⋅dr⃗ ≠0∫cf→⋅dr→≠0 for some closed path cc, then f⃗ f→ is path dependent.
5. if the vector fields f⃗ f→ and g⃗ g→ have ∫cf⃗ ⋅dr⃗ =∫cg⃗ ⋅dr⃗ ∫cf→⋅dr→=∫cg→⋅dr→ for a particular path cc, then f⃗ =g⃗ f→=g→.
6. if f⃗ f→ is path-independent and cc is any closed curve, then ∫cf⃗ ⋅dr⃗ =0∫cf→⋅dr→=0.
7. if f⃗ =∇ff→=∇f, then f⃗ f→ is conservative.
8. the circulation of any vector field f⃗ f→ around any closed curve cc is zero.
Answers: 2
Mathematics, 21.06.2019 16:30
Translate this phrase into an algebraic expression. 21 more than twice goran's savings use the variable g to represent goran's savings. need to know fast.
Answers: 1
Mathematics, 21.06.2019 20:30
There are 45 questions on your math exam. you answered 810 of them correctly. how many questions did you answer correctly?
Answers: 3
Mathematics, 21.06.2019 21:20
Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?
Answers: 1
Mathematics, 18.06.2021 14:30
Computers and Technology, 18.06.2021 14:30
Physics, 18.06.2021 14:30
English, 18.06.2021 14:30
History, 18.06.2021 14:40
World Languages, 18.06.2021 14:40
Mathematics, 18.06.2021 14:40
Mathematics, 18.06.2021 14:40
Mathematics, 18.06.2021 14:40