Please answer all questions and show work so I can understand.

1) y- ty dy If - x' + 2x + 2 dx and y (0) = 2, y- ty O x2 + 2x + 2 which of the following is the O r' + 2x3 + 2x2 = - 24 particular solution? O 2x3 + + 12 + 20 4 O . + 12 2) dy A solution curve of - = ry passes O OO through (3, 6). At this point, 54 what is the slope of the line tangent O 2 to this solution curve? 3) Which of the following is not a solution Oy= 1-ex dy of an O y =2-ex O y=3-ex O y=ex 4) With which angle does every rose of the form r = cos (ne) Oe=0 have a petal aligned, regardless of n? O 0 = 1/2 OB=1 O There isn't one angle of petal alignment common to all roses