The application of Jacobians is significant in the evaluation of doubl – McqOptions

MCQOPTIONS

1.	The application of Jacobians is significant in the evaluation of double integral of the form ∬f(x,y) dx dy and triple integral of the form ∭f(x,y,z)dx dy dz by transformation from one system of coordinate to the other.
A.	True
B.	False
Answer» B.

Discussion

No Comment Found

Related MCQs

Which among the following is the definition of Jacobian of u and v w.r.t x and y?
If u+v=ex cos⁡y and u-v=ex sin y the value of \(J(\frac{u,v}{x,y})\) is ________
The application of Jacobians is significant in the evaluation of double integral of the form ∬f(x,y) dx dy and triple integral of the form ∭f(x,y,z)dx dy dz by transformation from one system of coordinate to the other.
If x=rcos⁡θ, y=rsin⁡θ then the value of \(\frac{∂(x,y)}{∂(r,θ)}\) is ________
If u=x+3y2-z3, v=4x2 yz, w=2z2-xy then \(\frac{∂(u,v,w)}{∂(x,y,z)} \) at (1,1,1).
Given \(u=\frac{yz}{x}, v=\frac{zx}{y}, w=\frac{xy}{z}\) then the value of \(\frac{∂(u,v,w)}{∂(x,y,z)}\) is ________
The jacobian of p,q,r w.r.t x,y,z given p=x+y+z, q=y+z, r=z is ________