Use stoke's theorem to evaluate ∫cf⋅dr where f(x, y,z)=xi+yj+2(x2+y2)k and c is the boundary of the part of the paraboloid where z=81−x2−y2 which lies above the xy-plane and c is oriented counterclockwise when viewed from above.

When 142 is added to a number the result is 64 more times the number my options are 35 37 39 41

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

Complete the equation of the live through (-1,6) (7,-2)