The image of the unit circle under the mapping below and is parameterized as x=cos(t) and y=sin(t),t element of the real number is? f={x′=4x+2y;y′=−x+2y}

duranr8e

duranr8e

Answered question

2022-12-18

The image of the unit circle under the mapping below and is parameterized as x = cos ( t ) and y = sin ( t ) , t element of the real number is?
f = { x = 4 x + 2 y ; y = x + 2 y }

Answer & Explanation

bleustggv

bleustggv

Beginner2022-12-19Added 8 answers

f ( x , y ) = ( x , y ) = ( 4 x + 2 y , x 2 y )
x = cos t , y = sin y , t R
Then, f ( cos t , sin t ) = ( 1 cos + 2 sin t , cos t + 2 sin t )
Then the image of ( cos t , sin t )
( 1 cos t + 2 sin t , cos t + 2 sin t )

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