show full and complete procedure HANDWRITTEN only. Please answer parts a), b) and c) as they are subparts of the same question 2. Solve the following showing full and complete procedurea) Evaluate the integral either directly or using Green's theorem:O¨(x − y)dx + (x + y)dy where C is the circle with center in the origin and radius 2b) Use Green's theorem to evaluate F o dr where F(x,y) = (ycosx - xysinx, xy + xcosx)and C is the triangle from (0,0) to (2,0) to (0,4) to (0,0)c) Use Stoke's theorem to evaluate F o dr where F(x,y,z) = x²zi + xy²j + z²k and C isсthe curve of intersection of the plane x+y+z=1 and the cylinder x² + y² = 9 orientedcounterclockwise as viewed from above

As per Bartleby guidelines we only give first question answers. Please repost for other parts.

2. Solve the following showing full and complete procedure a) Evaluate the integral either directly or using Green's theorem: f (x - y)dx + (x + y)dy where C is the circle with center in the origin and radius 2 O b) Use Green's theorem to evaluate C Fodr where F(x,y) = (ycosx - xysinx, xy + xcosx)

2. Solve the following showing full and complete procedure a) Evaluate the integral either directly or using Green's theorem: f (x - y)dx + (x + y)dy where C is the circle with center in the origin and radius 2 O b) Use Green's theorem to evaluate C Fodr where F(x,y) = (ycosx - xysinx, xy + xcosx)

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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Question

show full and complete procedure HANDWRITTEN only. Please answer parts a), b) and c) as they are subparts of the same question

2. Solve the following showing full and complete procedure
a) Evaluate the integral either directly or using Green's theorem:
O
¨(x − y)dx + (x + y)dy where C is the circle with center in the origin and radius 2
b) Use Green's theorem to evaluate F o dr where F(x,y) = (ycosx - xysinx, xy + xcosx)
and C is the triangle from (0,0) to (2,0) to (0,4) to (0,0)
c) Use Stoke's theorem to evaluate F o dr where F(x,y,z) = x²zi + xy²j + z²k and C is
с
the curve of intersection of the plane x+y+z=1 and the cylinder x² + y² = 9 oriented
counterclockwise as viewed from above

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