Use Green's Theorem to evaluate the line integral (y − x)dx + (2x − y)dy

C

for the given path.
C: x = 2 cos(), y = sin(), 0 ≤ ≤ 2

cant

step-by-step explanation: there is no picture

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

i think its doubled. let me know

step-by-step explanation: