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Integral Calculus
Evaluate the integral of f(x,y,z) = x+2y-z over the cylinder bounded by x2 +y2 =4 and z=1 .
Integral Calculus
Calculate fxxyz if f(x,y,z) = sin(3x+yz) .
Integral Calculus
Find the work done by the force F=(x2 , - x y) in moving a particle from (0,0) to (1,2) along the parabola y=(2 x2) from (0,0) to (1,2) .
Integral Calculus
The density at any point on a semicircular lamina is proportional to the distance from the centre of the circle . Find the centre of gravity of the lamina.
Integral Calculus
integral 2z/(z^2+1)^1/3 dz
Integral Calculus
Apply Green's theorem to find the area of the ellipse (x2)/9+(y2)/4=4 .
Integral Calculus
Integrate f(x,y)=x2 +y over the region bounded by y=2x2 , X-axis , x = 1/2 .
Integral Calculus
Evaluate fxy at a point (x,y) for the function f defined by f(x,y)=x (1/tan) y .
Using Schwarz's Theorem evaluate fyx at the point (x,y) .
Using Schwarz's Theorem evaluate fyx at the point (x,y) .
Integral Calculus
Show that the functions f(x,y)= y/x and g(x,y)= (x-y)/(x+y) are functionally dependent .
Find a functional relation between them .
Find a functional relation between them .
Integral Calculus
The set {(x2-1)/2x | 0<x<1} is bounded below .
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#340153 on Dec 2023
#340153 on Dec 2023