Use the following equations to plot limacon
theta = linspace(0, 2*pi);
r = 3-6*sin(theta);
polar(theta, r)
fun=@(x)((3-6.*sin(theta))*(3-6.*sin(theta)));
outerarea=integral(fun,0,(2*pi/3));
innerarea=integral(fun,pi,(4*pi/3));
area=outerarea-innerarea
As
Using Only MATLAB. 3. Consider the region inside the outer loop but outside the inner loop...
Find the area of the region that lies inside the first curve and outside the second curve. r = 3 - 3 sin(θ), r = 3 Find the exact length of the curve. Use a graph to determine the parameter interval. r = cos2(θ/2)
Simplify firal answer find the area inside inner loop r=1+2Cose 2 interior find of the area of the common rait cose and rest sind 3) find the area inside r=55-cost and outside 4) find the area inside the inner loop r=2 sin 30
Let R be the region inside the graph of the polar curver=3 and outside the graph of the polar curve r=3(1 - cos 6). (a) Sketch the two polar curves in the xy-plane and shade the region R. (b) Find the area of R.
Question 3: (15 Marks) Find centroid for the region R, that lies outside r - 2 and inside r 3 + 3 sin 6 Hint: Sketch graph in the range of 0e e <2T Question 3: (15 Marks) Find centroid for the region R, that lies outside r - 2 and inside r 3 + 3 sin 6 Hint: Sketch graph in the range of 0e e
simplify final answer S area inside r=53-cost and outside find the r=cose find the area inside the inner loop. r=2 sin 30
Find the area of the following region. The region inside limaçon r= 6-4 cos e The area of the region bounded by r= 6-4cos o is (Type an exact answer, using it as needed.) square units.
need help al using the Lith Dachal apprekumale 3 funchm the area between the inner and outer loops of the curve r = 2 cos θ-1 . 6. Find al using the Lith Dachal apprekumale 3 funchm the area between the inner and outer loops of the curve r = 2 cos θ-1 . 6. Find
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)
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 region common in circles r- 2cos and r1. (c) 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...
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...