Differential Integral Calculus Experienced Online Exam Quiz
Differential Integral Calculus Experienced GK Quiz. Question and Answers related to Differential Integral Calculus Experienced. MCQ (Multiple Choice Questions with answers about Differential Integral Calculus Experienced
Evaluation of intint_R f(x,y) ,dx ,dy in cartesian coordinate can be done using change of variables principle, among the choices given below which is correct explanation of change of variables principle? (Given let x=g(u,v) & y=h(u,v))
Options
A : intint_S f(g(u,v),h(u,v)) ,du ,dv
B : intint_S f(g(u,v),h(u,v)) frac{d(x,y)}{d(u,v)} ,du ,dv
C : intint_S f(g(u,v),h(u,v)) frac{?(x,y)}{?(u,v)} ,du ,dv
D : intint_S f(g(u,v),h(u,v)) frac{?(u,v)}{?(x,y)} ,du ,dv
If double integral in Cartesian coordinate is given by ?R f(x,y) dx dy then the value of same integral in polar form is _____
Options
A : ?P f(r cos ?, rsin ?)dr d?
B : ?P f(r cos??, r sin??)rdr d?
C : ?P f(r cos??, r sin??) r2 dr d?
D : ?P f(r sin??, r cos??)dr d?
The value of ?R (x-y)2 dx dy where R is the parallelogram with vertices (0,0), (1,1),(2,0), (1,-1) when solved using change of variables is given by____
Options
A : 16/3
B : 8/3
C : 4/3
D : 0
Using change of variables principle in double integral we can reduce cartesian integral to simpler form.
Options
A : True
B : False
C :
D :
The value of ?R sin?(x2 + y2) dx dy where R is the region bounded by circle centered at origin with radius r=2 is _____
Options
A : ?cos 4
B : ?(1-cos 4)
C : ?
D : ?(1-sin 4)
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