Green's theorem - challenge problems you must submit written solutions to any two of these three problems by the due date. solu- tions will be made available after that due date. 1. find faxe-3x dx + 4(22 + y)2 dy where is the boundary of the region inside the circles x² + y2 = 2 and x2 + y2 = 9 (take c to be positively oriented). 2. find $c f. dr where f(x, y) = and c is the perimeter of x2 + y2 = 16, oriented clockwise. 3. as noted, the integral ff. di gives the flux of the vector field f across the contour c. use green's theorem to find the flux of f(x, y) = across the boundary of a circle .za + y2 = a (where a is the constant radius of the circle). take the boundary as being oriented positively.

Can someone me my sister? she is in third grade. 50 points and brainlist! ones that are not answered. plz and thx!

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

The ratio of rock songs to dance songs on jonathan’s mp3 player is 5: 6. the total number of rock and dance songs jonathan has is between 101 120. how many rock songs does he have?