MTH301 Quiz No.1 Shared by Precious Sana

Question # 1 of 10 ( Start time: 04:22:47 PM ) Total Marks: 1
The partial derivative at any point on the surface “z=Sinxy” represents the slope of tangent ------------ at that point.
Select correct option:
plane
line



Question # 2 of 10 ( Start time: 04:24:21 PM ) Total Marks: 1
Intersection of two planes is a ........ in two dimensional space.
Select correct option:
point       (CORRECT)
line
curve
plane


Question # 3 of 10 ( Start time: 04:25:50 PM ) Total Marks: 1
Face of the parabola (y = ax^2 + bx + c) is opening upward when
Select correct option:
a > 0       (CORRECT)
a < 0
b > 0
b < 0


Question # 4 of 10 ( Start time: 04:27:23 PM ) Total Marks: 1
A function is not continuous at a point if its graph has a hole or break at that point.
Select correct option:
True       (CORRECT)
False


Question # 5 of 10 ( Start time: 04:28:13 PM ) Total Marks: 1
The function e^(xy) is continuous
Select correct option:
where xy greater than zero
where xy greater than or equal to zero       (CORRECT)
in whole region of xy plane
where xy less than zero


Question # 6 of 10 ( Start time: 04:29:39 PM ) Total Marks: 1
spherical coordinate 'z' is related to the cylindrical coordinate as
Select correct option:
z
row
row cos phi
row cos theta


Question # 7 of 10 ( Start time: 04:30:59 PM ) Total Marks: 1
The number 3/1 is
Select correct option:
rational       (CORRECT)
irrational


Question # 8 of 10 ( Start time: 04:32:17 PM ) Total Marks: 1
value of the function f(x, y, z) = xy + z at the point ( 1, x^3, y^2) is
Select correct option:
x^3 + y^2       (CORRECT)
xy+ z^2
y + z
x^3 + z


Question # 9 of 10 ( Start time: 04:32:52 PM ) Total Marks: 1
Which of the following is the representation of spherical coordinates
Select correct option:
(x, y, z)
(r, theta, z)
( row, theta, phi)      (CORRECT)
(row, phi, z)


Question # 10 of 10 ( Start time: 04:33:49 PM ) Total Marks: 1
Range of the function f(x, y) = sqrt ( x^2 + y^2 + z^2) is
Select correct option:
( -infinity, + infinity)
(-infinity, 0)
[0, + infinity)      (CORRECT)
(0, + infinity)