Differential Integral Calculus Mcqs Online Exam Quiz
Differential Integral Calculus Mcqs GK Quiz. Question and Answers related to Differential Integral Calculus Mcqs. MCQ (Multiple Choice Questions with answers about Differential Integral Calculus Mcqs
For the below mentione figure ,conversion from cartesian coordinate ?R f(x,y,z)dx dy dz to spherical polar with coordinates p(r,?,?) is given by ______
Options
A : ?R* f(r,?,?) sin?? dr d? d?
B : ?R* f(r,?,?) r2 dr d? d?
C : ?R* f(r,?,?) r2 cos?? dr d? d?
D : ?R* f(r,?,?) r2 sin?? dr d? d?
For the below-mentioned figure, conversion from cartesian coordinate ?R f(x,y,z)dx dy dz to cylindrical polar with coordinates p(?,?,z) is given by ______
Options
A : ?R* f(?,?,z) ? d? d? dz
B : ?R f(?,?,z) d? d? dz
C : ?R*f(?,?,z) ?? d? d? dz
D : ?R f(?,?,z) ?2 d? d? dz
If ?R xyz dx dy dz is solved using cylindrical coordinate where R is the region bounded by the planes x=0, y=0, z=0, z=1 & x2+y2=1 then what is the value of that integral?
Options
A : 1/24
B : 1/16
C : 1/4
D : 1/2
The volume of the region R defined by inequalities 0?z?1, 0?y+z?2,0?x+y+z?3 is given by ______
Options
A : 4
B : 6
C : 8
D : 1
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