Please solve the screenshot! 1. Evaluate the line integral fe ry?ds, where C is three quarters of the circle2² +y? = 1, oriented counterclockwise (so the path of the circle from (1,0)to (0, –1)).

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Description: Please solve the screenshot! 1. Evaluate the line integral fe ry?ds, where C is three quarters of the circle2² +y? = 1, oriented counterclockwise (so the path of the circle from (1,0)to (0, –1)).

Answered: Evaluate the line integral ſe ry²ds,…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Please solve the screenshot!

1. Evaluate the line integral fe ry?ds, where C is three quarters of the circle
2² +y? = 1, oriented counterclockwise (so the path of the circle from (1,0)
to (0, –1)).

Expert Solution

Step 1

C is the three quarters of the circle $x^{2} + y^{2} = 1$ , oriented counterclockwise.

The parametric equation of the given circle is

$x = \cos t, y = \sin t \frac{d x}{d t} = - \sin t, \frac{d y}{d t} = \cos t$

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