Show that the area of the Cardioid r=1+ cos is equal to 3л 2 Formula: A=...
Show that the surface area of revolution of the Cardioid r=1+cos e 327 is equal to 5 Formulu: S = L*2#rainy + 3) a
Find the total area enclosed by the cardioid r = 8 - cos shown in the following figure: 0 With ro = 7, r2 = -9 Answer:
6) a) Find the area of the circle (x-3)+ y'- 9 using polar coordinates b) Find the area of the region below the cardioid r = 1 + cos(9) and above y = 1x1.
6) a) Find the area of the circle (x-3)+ y'- 9 using polar coordinates b) Find the area of the region below the cardioid r = 1 + cos(9) and above y = 1x1.
Use a double integral to find the area of the region bounded by the cardioid r= -2(1 - cos 6). Set up the double integral as efficiently as possible, in polar coordinates, that is used to find the area. r drdo (Type exact answers, using a as needed.)
Find the area of the right half of the cardioid: r = 4+3 sin 0. Find the area enclosed within one loop of the curve: r = 4 cos 30.
2. (a) Find the point on the cardioid r = 2(1+sin ) that is farthest on the right. (b) What is the area of the region that is inside of this cardioid and outside the circle r = 6 sin 0? 1515-10nts]
3. Find the area laying inside the curve given by r = 2 - 2 cos(0) 4. Find the area of the region common to the two regions bounded by the following curves r = -6 cos(6), r = 2 - 2 cos(6) 5. Find the arc length from 0 = 0 to 0 = 27 for the cardioid r = f(0) = 2 - 2 cos(0)
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 .
(15 points) Find the centre of the region in the xy-plane that lies inside the cardioid r = a(1 + cos θ) and outside the circle r-a if the mass density is p(,y)-1
(15 points) Find the centre of the region in the xy-plane that lies inside the cardioid r = a(1 + cos θ) and outside the circle r-a if the mass density is p(,y)-1
Find the area of the region inside the cardioid r= 4-4sintheta and outside the the circle r=6.