MTH301 Quiz No.1 Shared by Miraj 2

value of the function f(x, y, z) = xz/y at the point ( y, y^3, y^3) is
Select correct option:
y^3
1
y
xz/y


Domain of the following function f(x,y,z)  x + y + z + 3)/[(x-3)(y + 5)( z - 7)] is
Select correct option:
All real numbers with x greater than 3, y less than 5, z greater than 7
All real numbers with x less than 3, y greater than 5, z less than 7
All real numbers
All real numbers with x not equal to 3, y not equal to -5, z not equal to 7


To find the limit of f(x, y) = (x^2 + y)/x^2 at (0, 0) if we approach ( 0, 0) through the line x-axis , we get the value
Select correct option:
0
1
2
None of these


A plane z = 3 is ........ to xy-plane.
Select correct option:
parallel
perpendicular


Domain of the following function f(x, y) = sqrt ( x^2 + y^2 - 5 ) is
Select correct option:
All real numbers with (x^2 + y ^2) greater than or equal to 5
All real numbers with (x^2 + y ^2) less than or equal to 5
All real numbers with (x^2 + y ^2) greater than 5
All real numbers


The function “z=f(x,y)” represents a ---------- in Space
Select correct option:
surface
curve
solid
line


spherical coordinate 'z' is related to the cylindrical coordinate as
Select correct option:
z
row
row cos phi
row cos theta


The function f(x, y, z) = (x^2 + yz ) / ( xy+ z) is discontinuous when
Select correct option:
x^2 + yz = 0
xy + z = 0
x+ y +z = 0
xy > z


In space, the intersection of “z= Sinxy” and “y=a” gives a/an --------.
Select correct option:
plane
straight line
another surface
a Sine curve


Domain of the following function f(x)x+2)/[(x-2)(x-8)] is
Select correct option:
All real numbers with x greater than 2
All real numbers with x greater than 8
All real numbers with x less than 2
None of these