The equation of a circle in x-y planes is x^2+y^2-2x+2y = 0.Find the area of circle.
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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.
Find the polar equation for x^2+y^2=2x then show it is an equation of a circle by sketching the graph
10. Let E be the tetrahedron bounded by the planes 2x +2y +2=6,1 = 0, y = 0, and 2 = 0. Express the following integral as an iterated double integral. Do not evaluate. SIS 6.ry dy
Find the absolute extrema of f(x, y) = x^2 + y^2 − 2x − 2y + 1 on the set D = {(x, y): 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 }
One of the solutions to the following differential equation (1 – 2x – 2y + 2(1+x)y – 2y = 0 is known to be yı (x) = 1 +1 Find the second linearly independent solution y2 (2) using the method of Reduction of Order.
Q4 please 4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks] 4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...
<p>Find the cosine of the angle between the planes x + y + z = 0 and x + 2y + 5z = 3.</p>
Find the volume of the tetrahedron bounded by the planes x + 2y + z = 2, x = 2y, x = 0 and z = 0 . Sketch the diagram of the tetrahedron with labeled points with coordinate axes and the boundary equations.
Find a plane containing the point (2,3,−1) and the line of intersection of the planes 2x+y-2z=22 and x+2y+3z=-14 The equation of the plane is
Find a solution 10. y" – 2y' + 2y = 2x, y(0) = 4, y'0) = 8.