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The value of the line integral
along a path joining the origin and the point (1,1,1) is
- a)0
- b)2
- c)4
- d)6
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The value of the line integralalong a path joining the origin and the ...
Concept:
When two points (x1, y1. z1) and (x1, y1. z2) are mentioned find the relation in terms of the third variable in terms of x,y, and z:
Put the value of z,y, and z and use the end-points of one variable.
Given:
I = ∫(2xy2dx + 2x2ydy + dz), A (0, 0, 0) and B(1, 1, 1).
Equation of line i.e. path
∴ x = y = z = t and t : 0 → 1
∴ 
= 
∴ 
Most Upvoted Answer
The value of the line integralalong a path joining the origin and the ...
Concept:
When two points (x1, y1. z1) and (x1, y1. z2) are mentioned find the relation in terms of the third variable in terms of x,y, and z:
Put the value of z,y, and z and use the end-points of one variable.
Given:
I = ∫(2xy2dx + 2x2ydy + dz), A (0, 0, 0) and B(1, 1, 1).
Equation of line i.e. path
∴ x = y = z = t and t : 0 → 1
∴
=
∴
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The value of the line integralalong a path joining the origin and the point (1,1,1) isa)0b)2c)4d)6Correct answer is option 'B'. Can you explain this answer?
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The value of the line integralalong a path joining the origin and the point (1,1,1) isa)0b)2c)4d)6Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The value of the line integralalong a path joining the origin and the point (1,1,1) isa)0b)2c)4d)6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of the line integralalong a path joining the origin and the point (1,1,1) isa)0b)2c)4d)6Correct answer is option 'B'. Can you explain this answer?.
The value of the line integralalong a path joining the origin and the point (1,1,1) isa)0b)2c)4d)6Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The value of the line integralalong a path joining the origin and the point (1,1,1) isa)0b)2c)4d)6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of the line integralalong a path joining the origin and the point (1,1,1) isa)0b)2c)4d)6Correct answer is option 'B'. Can you explain this answer?.
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