Hello. I need help with these questions. I need all of the work to be shown please. Thank you. A calculator cannot be used to graph them unless it says you can in the directions. Thank you.

Sketch a graph, shade the region, and find the area. 12. One petal of r = 2 cos(30) 13. One petal of r = 4sin(20) (no calculator) (no calculator)14. interior of r = 2+ 2 cos 0 15. interior of r = 2 -sin 0 (no calculator) (no calculatorFeel free to use a graphing utility if desired on these problems. You'll be impressed with yourself if you do them all by hand. though! 16. interior of r;1 = 4513106) 17. inner loop of r =1+ 2cos6 18. between the loops of r =1+2cos 0 19. one loop of r2 = 4cos(20)20. inside r =3cos0 and outsider =2-cos 0 21. common interior of r = 4sin 0 and r = 222. inside r = 3sin 0 and outside r =1+ sin 0 23. common interior of r =3cos 0 and r =1+ cos 0\fB 26. The arc length of a polar graph of r = f(0) from 0 =a to 0 =B is given by s = ir do . do Determine which rose below has the longest arc length. Show how you arrive at your answer. Make sure to calculate the arc length for one complete graph of each rose. Calculator permitted. r =4sin(30) r =3cos(20)