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
13. Find the area of the shaded region r2 = sin(2θ) 14. Find the area of the shaded region. r = 4 + 3sin(θ) 18. Find the area of the region that lies inside the first curve and outside the second curve. r = 7cos(θ), r = 3+ cos(θ) Need Help? Read It ss View Pre19. Find the area of the region that lies inside both curves. r = 5 sin(θ), r = 5 cos(θ)
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.
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 specified region. 15) Inside one leaf of the four-leaved rose r 7 sin 2θ 16) Shared by the circles r 3 cos 0 and r-3 sin 17) Make sure you can also convert from Cartesian coordinates to polar form and find where on parametric and polar equations there are horizontal and vertical tangent lines. Find the area of the specified region. 15) Inside one leaf of the four-leaved rose r 7 sin 2θ 16) Shared...
Find the area of the shaded region for the curves r =6 sine, and r= 6 cose. Write your answer in numerical value for 3 decimal places.
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 .
shown that is a polar equations. r = 4 r. 8 cos e i) sketch two curves on a single polar coordinate system. Shade the region enclosed by r, and ra. ii) Find the two intersection angles between r, and ra iii) Based on the answer i) and ii), find the shaded region's area.
5. The graphs of the polar curves r-4 and r-3 + 2 cos θ are shown in the figure above. The curves intersect 3 (a) Let R be the shaded region that is inside the graph of r-4 and also outside the graph of r 34 2 cos θ, as shown in the figure above. Write an expression involving an integral for the area of R. (b) Find the slope of the line tangent to the graph of r :-3...
Find the area of the shaded region enclosed by r =1+cos. In the text box, Write ONLY your final answer.
. Find the area of the entire region The intersection points of the following curves are (0,0) and that lies within both curves. r= 18 sin 0 and r= 18 cos | The area of the region that lies within both curves is (Type an exact answer, using a as needed.) Find the area of the region common to the circle r=5 and the cardioid r=5(1 - cos 0). The area shared by the circle and the cardioid is (Type...