Show that the surface area of revolution of the Cardioid r=1+cos e 327 is equal to...
Show that the area of the Cardioid r=1+ cos is equal to 3л 2 Formula: A= -82 1 - 2 de ei
Find the total area enclosed by the cardioid r = 8 - cos shown in the following figure: 0 With ro = 7, r2 = -9 Answer:
Identify the integral used to determine the surface area of the surface of revolution for the shape described Byy=3 sin() +3, where 0sxsrevolved about the x-axis. ° 675,* (sin(ž) /1+cos?(łJdx © 205,* (sin(?) / 1+cos ( Jax ® 615,*(sum() + 1)/2+cos( © 608,5 (sin(5) + 1) /1-cos?(łJax
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 spherical coordinate integral to find the volume of the given solid. sphere 0-1 and the cardioid of revolution o 5+ 2 cos p 21) the solid between the sphere o1 and the card
Use a spherical coordinate integral to find the volume of the given solid. sphere 0-1 and the cardioid of revolution o 5+ 2 cos p 21) the solid between the sphere o1 and the card
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.
The area of a surface of revolution from x = a to x = b is
Find the formula for the lateral surface area of a right
circular cone of radius r and height h
s=21 [»] + c3 dx
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 .