If u=x+3y2-z3, v=4x2 yz, w=2z2-xy then \(\frac{∂(u,v,w)}{∂(x,y,z)} – McqOptions

MCQOPTIONS

1.	If u=x+3y2-z3, v=4x2 yz, w=2z2-xy then \(\frac{∂(u,v,w)}{∂(x,y,z)} \) at (1,1,1).
A.	-184
B.	-90
C.	20
D.	40
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 ________