Use the surface integral in Stokes' Theorem to calculate the circulation of the field Bold Upper F equals x squared Bold i plus 4 x Bold j plus z squared Bold kF=x2i+4xj+z2k around the curve C: the ellipse 25 x squared plus 16 y squared equals 525x2+16y2=5 in the xy-plane, counterclockwise when viewed from above.

Stokes' theorem says the integral of the curl of over a surface with boundary is equal to the integral of along the boundary. In other words, the flux of the curl of the vector field is equal to the circulation of the field, such that

We have

Parameterize the ellipse by

with and .

Take the normal vector to to be

Then the flux of the curl is

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

welll its a very hard question but ill

step-by-step explanation:

first you take the 6 dollars and add 10 to it then add the 50 to that then multiply by 8 with xy and your answer will be

hope this