Ex. Set up an integral to find the area of one petal of r = 2 sin 30. Sketch the graph. Set up an integral to find the area of one petal of r-4cos 20. Sketch the graph. Ex. y
Use a double integral to find the area of a petal of the rose r =? 2 (cos 3?(theta))
Find the area of the region bounded by the curves r = 2 + cos(2), 0 = 0, and = /4. You may need the formulas: cos” (a) = 1+ cos(22), sin?(x) = 1 – cos(22)
Find the area of the region that is bounded by r = sin 0 + cos 0, with 0 <OST. Find the area of the right half of the cardioid: r = 1 + 3 sin .
d) Find the area between the two curves (the shaded region). 2 + (2 r=2+cos 2θ ra sin 2θ
d) Find the area between the two curves (the shaded region). 2 + (2 r=2+cos 2θ ra sin 2θ
Ex. Set up an integral to find the area of one petal of r 4 cos28. Sketch the graph.
Ex. Set up an integral to find the area of one petal of r 4 cos28. Sketch the graph.
Find the area of the following region. The region outside the circle r = 2 and inside the circle r = - 4 cos 0 . The area of the region is square units. (Type an exact answer.)
Find the area of the following region. The region inside limaçon r= 6-4 cos e The area of the region bounded by r= 6-4cos o is (Type an exact answer, using it as needed.) square units.
Find the area of the region outside of r = cos 2θ and inside r= 1 + sinθ. Graph both on the same graph. Shade the region.
14. Find the area A enclosed by the function r= 3+ 2 sin 0 . (Note: Assume functions, that are in the plane, of r and 0 are generally polar functions in polar coordinates unless specified otherwise.) 15. Find the area A enclosed by one loop of the function r=sin(40). (Hint: This problem is similar to the area enclosed by an inner loop problem, in this petal function each petal has equivalent area.) 16. Find the area A enclosed by...