area inside circle of parametric curves
area inside circle of parametric curves Problem 7 (a) Find the area inside circle r. 2cos θ und outside r 1 ern (b) Find the area outside circle r-2 cos θ and inside r-1. Find the area of the regi...
Below is a graph of the circle r = 4 cos θ and the circle r = 2. y x −1 1 −2 2 −2 −1 1 2 3 4 (i) Find the polar coordinates of both intersection points of these two curves. (Note: show all of your work) (ii) Set up (but do not evaluate) an integral that represents the area inside of the circle r = 4 cos(θ) and outside of the circle r = 2. (Note: no...
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...
(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 inside the lemniscate r2 = 18 cos 20 and outside the circle r= 19. The area inside the lemniscate and outside the circle is (Type an exact answer, using a as needed.)
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.)
The region inside the curve r= 4 cos θ and outside the curve r = 2. r(t) 2 rt)4cos(t) -1 What are the coordinates of the point where the two circles intersect at the top of the picture in terms of (r,0) What are the coordinates of the same point in cartesians coordinates (x.y)? Give an equivalent version of the point in polar coordinates with r <o. What is the slope of of the tangent line to the circler 2...
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.
please solve it with polor coodinate graph 4. Find the area. a. Inside one leaf of the three-leaved rose cos30 r= b. Shared by the circle r 2 and the cardioid r 2(1+sin 0) c. Inside the circle r-3 cos 0 and outside the cardioid r=1 - cos0 d. Inside the circle r 4 sin0 and below the horizontal line r 3 csc e. Inside the outer loop of the limason r1-2 cos f. Inside the lemniscate 6 sin20 and...
Find the area of the region inside the cardioid r= 4-4sintheta and outside the the circle r=6.
Given the polar Curves r= 1-cos(e) and r= 1+ cos(O); $$1,1, O Veq \theta \leq 2\pi$$. a) Sketch the region which is insider=1+cos() and outside r=1-cos(e). b) Find the area of the region that is inside r = 1+ cos(e) and outside r = 1-cos(0). Show your answer in details.