Differential Integral Calculus Jacobians Online Exam Quiz
Differential Integral Calculus Jacobians GK Quiz. Question and Answers related to Differential Integral Calculus Jacobians. MCQ (Multiple Choice Questions with answers about Differential Integral Calculus Jacobians
The jacobian of p,q,r w.r.t x,y,z given p=x+y+z, q=y+z, r=z is ________
Options
A : 0
B : 1
C : 2
D : -1
If x=rcos??, y=rsin?? then the value of frac{?(x,y)}{?(r,?)} is ________
Options
A : 1
B : 0
C : r
D : frac{1}{r}
If u=x+3y2-z3, v=4x2 yz, w=2z2-xy then frac{?(u,v,w)}{?(x,y,z)} at (1,1,1).
Options
A : -184
B : -90
C : 20
D : 40
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 ________
Options
A : 4
B : -4
C : 0
D : 1
Which among the following is the definition of Jacobian of u and v w.r.t x and y?
Options
A : J(frac{x,y}{u,v})
B : J(frac{u,v}{x,y})
C : frac{?(x,y)}{?(u,v)}
D : frac{?(u,x)}{?(v,y)}
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.
Options
A : True
B : False
C :
D :
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