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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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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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