(1 point) let f(x, y)=−yi+xjx2+y2 and let c be the circle r(t)=(cost)i+(sint)j, 0≤t≤2π. a. compute ∂q∂x (-x^2+y^2)/(x^2+y^2)^2 note: your answer should be an expression of x and y; e. g. "3xy - y" b. compute ∂p∂y -[(x^2-y^2)/(x^2+y^2)^2] note: your answer should be an expression of x and y; e. g. "3xy - y" c. compute ∫cf⋅dr note: your answer should be a number d. is f conservative? type y if yes, type n if no.

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

An engineer scale model shows a building that is 3 inches tall. if the scale is 1 inch = 600 feet, how tall is the actual building?