![Given, (0,0),(2,0), (1, 53 ) 23 sin(03-02) 422&z sin(0, -03). -0,82 sin (@, -0,]] 1 [2 sin 15 1+0+0] = sin But (1, 83) alread](http://img.homeworklib.com/questions/fee17070-7d1a-11eb-99e0-a95a93512720.png?x-oss-process=image/resize,w_560)
Use polar coordinates to find the area of a triangle having vertices (0.0), (2.0), and 1.73).
Find the area of the triangle with the given vertices. Use the fact that the area of the triangle having u and v as adjacent sides is given by A = - 1 u xv ||- (3, 5, 7), (5, 5, 0), (-4, 0,5) A= Neea Help? camneck with CamScanner vurm Answer
2. A random vector (X,Y) is uniformly distributed in a triangle with vertices ABC, having coordinates A(0,0), B(2.0), C(0,1). The joint density f(x,y) is given by the formula 141) - f(x,y) = { s 15 inside the triangle outside
find the area of an equilateral triangle with each side 2
using
∫∫??????
Find area of an equibteral triangle if sive a using polar coordinates such that we are A = dorar that cannot be done wf a single double 2 integral
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 polar coordinates to find the centroid:
25) Use polar coordinates to find the centroid of the constant-density semicircular disk
25) Use polar coordinates to find the centroid of the constant-density semicircular disk
please answer both questions
bex Use a double integral in Polar Coordinates to find the area of the rectangular region bounded by x=0,x=1.-O.y-1, HTML Editore BIVA-AIXE 3 1 X X, SE Solve the following double integral using Polar Coordinates. x2 + y dydx HTML Editor
Let C be a triangle in the ry-plane with vertices (ıv). (2.92), and (T3, Vs) arranged so that C' is positively-oriented a.) Sketch such a triangle and indicate its orientation. b.) Apply Green's Theorem to compute the area of the triangle as a (sum of) path integral(s) around the boundary. Get a formula for area in terms of the coordinates zi and y. This formula is sometimes referred to as the Shoelace formula for area. c.) Use the formula you...
Double Intergals in Polar Coordinates: 4. Use polar coordinates to find the volume of the solid that is bounded by the paraboloids z = 3x^2 + 3y^2 and z = 4 ? x^2 ? y^2. 5. Evaluate by converting to polar coordinates ? -3 to3 * ? 0 to sqrt(9-x^2) (sin(x^2 +y^2) dydx 6. Evaluate by converting to polar coordinates: ? 0 to 1 * ? -sqrt(1-y^2) to 0 (x^2(y)) dxdy
The rectangular coordinates of a point are (20,0). Find the polar coordinates. The polar coordinates for the point with positive r can be given by (Type an ordered pair. Use angle measures greater than or equal to 0 and less than 2x.)
Let C be a triangle in the x-y
plane with vertices (x1,y1), (x2y2) and (x3,y3) arranged so that C
is positively-oriented.
Let C be a triangle in the xy-plane with vertices (x,y), (z2,p), and (z3,U3) arranged so that C is positively-oriented. a.) Sketch such a triangle and indicate its orientation. b.) Apply Green's Theorem to compute the area of the triangle as a (sum of) path integral(s) around the boundary. Get a formula for area in terms of the coordinates...