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 16:00
Use set builder notation to represent the following set: { -3, -2, -1, 0}
Answers: 1
Mathematics, 21.06.2019 17:30
What is the number 321,000,000 in scientific notation? also what is the number? ?
Answers: 2
Mathematics, 21.06.2019 23:20
Identify the function that contains the data in the following table: x -2 0 2 3 5 f(x) 5 3 1 2 4 possible answers: f(x) = |x| + 1 f(x) = |x - 2| f(x) = |x - 2| - 1 f(x) = |x - 2| + 1
Answers: 1
Mathematics, 22.06.2019 01:30
Find the circumference of a pizza with a diameter of 10 inches round to the nearest tenth
Answers: 1
Mathematics, 19.10.2019 02:30
English, 19.10.2019 02:30
Social Studies, 19.10.2019 02:30
Mathematics, 19.10.2019 02:30
World Languages, 19.10.2019 02:30
Social Studies, 19.10.2019 02:30
Biology, 19.10.2019 02:30
English, 19.10.2019 02:30
Mathematics, 19.10.2019 02:30
Spanish, 19.10.2019 02:30
English, 19.10.2019 02:30
Mathematics, 19.10.2019 02:30
Mathematics, 19.10.2019 02:30