Let F(x, y)=−yi+xjx2+y2F(x, y)=−yi+xjx2+y2 and let CC be the circle r(t)=(cost)i+(sint)jr(t)=(cos⁡t)i+( sin⁡t)j, 0≤t≤2π0≤t≤2π.

a. Compute ∂Q∂x∂Q∂x

b. Compute ∂P∂y∂P∂y

c. Compute ∫CF⋅dr∫CF⋅dr

d. Is F conservative? Type Y if yes, type N if no.

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? define a variable for the situation. write an inequality that represents the situation. solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?