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Question B1 a. Calculate the line integral [F•dr. where F = 3x²y²i + 2x°yj for the curve C. Here C is the curve y = 2x with x ranging from -1 to +1. b. If the vector F is a force, a line integral like (F-dr can be interpreted as the work that this force does on a small object, as it moves along this curve. If the object had an energy of 20 Joules at the start of the path, how much energy would the object have at the end of the path?

Question B1 a. Calculate the line integral [F•dr. where F = 3x²y²i + 2x°yj for the curve C. Here C is the curve y = 2x with x ranging from -1 to +1. b. If the vector F is a force, a line integral like (F-dr can be interpreted as the work that this force does on a small object, as it moves along this curve. If the object had an energy of 20 Joules at the start of the path, how much energy would the object have at the end of the path?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question B1 a. Calculate the line integral (F-dr, where F = 3x y'i + 2x'yj for the curve C. Here C is the curve y = 2x with x ranging from -1 to +1. b. If the vector F is a force, a line integral like (F•dr can be interpreted as the work that this force does on a small object, as it moves along this curve. If the object had an energy of 20 Joules at the start of the path, how much energy would the object have at the end of the path?
Transcribed Image Text:Question B1 a. Calculate the line integral (F-dr, where F = 3x y'i + 2x'yj for the curve C. Here C is the curve y = 2x with x ranging from -1 to +1. b. If the vector F is a force, a line integral like (F•dr can be interpreted as the work that this force does on a small object, as it moves along this curve. If the object had an energy of 20 Joules at the start of the path, how much energy would the object have at the end of the path?
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