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A triangle ABC consists of vertex points A (0,0) B(1,0) and C(0,1). The value of the integral over the triangle is
The area enclosed between the parabala y = x^{2} and the straight line y = x is
Changing the order of the integration in the double integral
The right circular cone of largest volume that can be enclosed by a sphere of 1 m radius has a height of
the parabolic arc is revolved around the xaxis. The volume of
What is the area common to the circles r = a and r = 2a cos θ?
The expression for the volume of a cone is equal to
f ( x,y ) is a continuous defined over ( x,y ) ∈ [0,1]× [0,1] . Given two constrains, x > y 2 and y > x 2 , the volume under f ( x,y ) is
The following differential equation has
A solution of the following differential equation is given by
For the differential equation the boundary conditions are
(i) y = 0 for x = 0, and
(ii) y = 0 for x = a
The form of nonzero solutions of y (where m varies over all integers) are
Which of the following is a solution to the differential equation
For the differential equation the general solution is
The solution of the differential equation
The solution of with the condition y(1)
A technique by which problems in analysis, in particular differential equations, are transformed into algebraic problems is called
The general solution of (x^{2} D^{2} – xD), y= 0 is :
For the particular integrals is
It is given that y" + 2y' + y = 0, y(0) = 0, y(1)=0. What is y (0.5)?
The partial differential equation
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65 videos121 docs94 tests
