Question 3: (15 Marks) Find centroid for the region R, that lies outside r - 2 and inside r 3 + 3 sin 6 Hint: Sketch gr...
c. Sketch the curve and find the area of the region that lies outside r 2sin0 and inside r=sin0+cos (you must use integral for this question, otherwise(like using formula for area of a circle, etc.,) you will get 0 point) c. Sketch the curve and find the area of the region that lies outside r 2sin0 and inside r=sin0+cos (you must use integral for this question, otherwise(like using formula for area of a circle, etc.,) you will get 0 point)
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)
(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
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.
1. Find the area (exact value) of the region that lies inside the curve r=5cosθ and outside the curve r=2+cosθ 2. Find the area (exact value) of the region that lies inside between curve r=5cosθ and r=2+cosθ 8. Find the area (exact value) of the region that lies inside the curve r = 5cose and outside the curve r = 2 + cose. 9. Find the area (exact value) of the region that lies inside both curves r = 5cose...
Find the area of the region that lies inside the first curve and outside the second curve. r2=72 cos(28), r=6
Calculus 1.2. 1 Find the area of the region that lies inside region that lies inside r= cos 20 and outside r= Find the volume of the parallelepiped determined by a=< 1, 2, -1>, b=-2i+3 k and c=73–4k.
Find the area of the region that lies inside both curves. p = 50 sin(20), r = 5 25 (3/3 - -) Need Help? Read It Talk to a Tutor
both questions Use a computer algebra system and the fact that the centroid of the region having area A bounded by the simple closed path C is xd to find the centroid of the region. R: region bounded by the graphs of y -x and y 3 sin θ and outside the circle x-2 cos θ, y-2 sin θ, Evaluate the line integral Let R be the region inside the ellipse x-4 cos θ, y (3x2y + 7) dx +...
Sketch the graph, find the points of intersection, and then find the area of the region that lies inside the graph of the first polar equation and outside of the graph of the second polar equation. - 7 - 7 sin(8), P-7