Find the polar representation of the circles: 1st: x^2 + y^2 = ay; 2nd circle: x^2 + y^2 = bx, for a,b > 0. Then find the area of the intersection of the two circles.
Find the polar representation of the circles: 1st: x^2 + y^2 = ay; 2nd circle: x^2 + y^2 = bx, for a,b > 0. Then find...
6) a) Find the area of the circle (x-3)+ y'- 9 using polar coordinates b) Find the area of the region below the cardioid r = 1 + cos(9) and above y = 1x1. 6) a) Find the area of the circle (x-3)+ y'- 9 using polar coordinates b) Find the area of the region below the cardioid r = 1 + cos(9) and above y = 1x1.
The equation of a circle in x-y planes is x^2+y^2-2x+2y = 0.Find the area of circle.
The equation of a circle in x-y planes is x^2+y^2-2x+2y = 0.Find the area of circle.
64. The figure shows a fixed circle C with equation (x-1)+ y-1 and a shrinking circle C; with radiusr and center the origin. P is the point (0, r). Q is the upper point of intersection of the two circles, and R is the point of intersection of the line PQ and the x-axis. What happens to R as C; shrinks, that is, as r0* P C R C 64. The figure shows a fixed circle C with equation (x-1)+...
O A Ay21 OB Ay?- (Bx+Ay) ?=5 Find the general solution of the following reducible second-order differential equation. Assume x, y andor y positive where helpful. 9yy"=5 (Bx+A) 3-5 9 9 ocy2-9(Ax+B)2=5A 2- 5 (Ax+B) 2=5 O E Ay2+9 (Ax+B)2=5 OD. Ay?-
Find the polar equation for x^2+y^2=2x then show it is an equation of a circle by sketching the graph
5. (a) Give an equation in polar coordinates that represents the circle below y 4 4 6 (b) Find the area contained within the circle given in part (a) by using the definite integral for area in polar coordinates Use the definition of the derivitive in polar coordinates to find the points, (,0), on the circle where vertical tangent lines exist
5. (a) Give an equation in polar coordinates that represents the circle below y 4 4 6 (b) Find the area contained within the circle given in part (a) by using the definite integral for area in polar coordinates Use the definition of the derivitive in polar coordinates to find the points, (,0), on the circle where vertical tangent lines exist
5. (a) Give an equation in polar coordinates that represents the circle below y 4 4 6 (b) Find the area contained within the circle given in part (a) by using the definite integral for area in polar coordinates Use the definition of the derivitive in polar coordinates to find the points, (,0), on the circle where vertical tangent lines exist
the Circle 2 + y = 4 and the hines x = 0 and y = 2. 8. Find the surface area of the portion of the plane 3x + 2y + z = 6 that lies in the first octant.