8. Set up a double integral to represent the area of the region inside the circle...
Sketch the region and use a double integral to find the area of the region inside both the cardioid r=1+sin(theta) and r=1+cos(theta). I have worked through the problem twice and keep getting (3pi/4 - sqrt(2)). Can someone please explain how you arrive at, what they say, is the correct answer? Sketch the region and use a double integral to find its area The region inside both the cardioid r= 1 + sin 0 and the cardioid r= 1 + cosa...
4. Consider the area of the region that lies inside the curve given in polar form) by r = 6 sin(@) and outside the cardioid given by r=2+2 sin(0). (a) (3pts) Set up but do not evaluate an integral(s) which represents the area of this region. (b) (3.5pts) Evaluate this integral to determine the exact area of this region. (Hint: you will need to use a trig, identity)
Use a double integral in polar coordinates to find the area of the region bounded on the inside by the circle of radius 5 and on the outside by the cardioid r=5(1+cos(θ))r=5(1+cos(θ))
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.)
Consider the polar graph r=1-sin theta and r= sin theta, shown below. Please help with B, D, and E 5. Consider the polar graphs r = 1-sin 0 and r = sin 0, shown below. a. Find the polar coordinates (r, 2) for all points of intersection on the figure. Hint: Not all points can be found algebraically. For b.-d., set up an integral that represents the area of the indicated region. b. The region inside of the circle, but...
help please 5. Evaluate the area of the shaded region (inside the larger circle and outside the smaller one) by using the double integral in polar coordinates Hint: Treat the right and left parts of the region separately:) 5. Evaluate the area of the shaded region (inside the larger circle and outside the smaller one) by using the double integral in polar coordinates Hint: Treat the right and left parts of the region separately:)
Show your answer in detail. Find the area of the region inside the circle r = 3cos and outside the cardioid r = 1 + cose. Sketch and shade the region. Attach File Browse My Computer Browse Content Collection
Find the area of the region inside the cardioid r= 4-4sintheta and outside the the circle r=6.
Enter the correct limits of integration. Use increasing limits of integration. Set up the iterated integral for evaluating SS S40,0,.2)dz f(r,0,z)dz r dr de over the region D, D where D is the solid right cylinder whose base is a region in the xy-plane that lies inside the cardioid r = 6 +6 cos 0 and outside the circle r=6, and whose top lies in the plane z = 24 SSS fr, 0z) dz r dr de (Type exact answers,...
. 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...