Which of the points shown below are on the line given by the equation y = x + 3 check all that apply a.) point a: (-1,2) b.) point b: (-1,-2) c.) point c : (2,5) d.) point d : (-3,0)

Given sin∅ = 1/3 and 0 < ∅ < π/2 ; find tan2∅ a. (4√2)/9 b. 9/7 c. (4√2)/7 d.7/9

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = xyi + 5zj + 7yk, c is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 81.

Emily works as a painter. for each job, it takesher 30 minutes to prepare an interior wall ofa house before she paints and 2 minutes persquare yard to paint that will. the graph belowshows the total time it would take her to do a job,based on the total area of the wallhow long does it take her to do a job when she paints a wall with an area of 15 square yards?