1 |
If a1>a2>......>an>.... then a sequence {an} is .... |
increasing
non decreasing
decreasing
non increasing
|
2 |
For a function f ,let f'(xn)=0 for some n Does the newton method for work for approximating the solution of f(x)=0 |
yes
no
not sure
|
3 |
2/3 is known as |
even number
irrational number
natural number
rational number
|
4 |
Lim x→0sinx/x |
1
-1
0
2
|
5 |
tan x is continuous everywhere except at points |
+- k<span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π/2 (k=1,3,5....)</span>
+- k<span style="font-family: arial, sans-serif; font-size: small; color: rgb(84, 84, 84);">π/2 (k=2,4,6....)</span>
Not Sure
|
6 |
If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y,we say that y is ______ of x |
relation
Function
Nota function
Not a Relation
|
7 |
The graph x=y2is symmetric about ___ axis |
X -axis
Y-axis
origin
|
8 |
For a graph to be symmetric about y axis mean ,for each point (x,y) on the graph the point ____ is also on the graph |
(x,-y)
(-x,y)
(-x,-y)
|
9 |
At which points two curves y=x2and y=x+6 intersect? |
x=0 and x=2
x=0 and x=3
x=2 and x=3
x=-2 and x=3
|
10 |
Sigma notation which is represent which of the following greek letter? |
χ
η
Σ
ψ
|
11 |
Consider the following function h(x) and a constant c then d/dx((c)){h(x)}= |
0
d/dx{h(x)}
d/dx{h(cx)}
cd/dx{h(x)}
|
12 |
d(sec x)/dx=? |
sec x tan x
sec x tan y
cosec x cot x
|
13 |
Let f(x ) is the function such that as x approaches a real number ,either from left or right hand side ,the function value increase or decrease unboundedly then lim f(x) |
Exist
Does not exist
Not Sure
|
14 |
______ is the special case for the Taylor's theorem |
Roll's Theorem
Picard's Method
Integration
Maclaurin Theorem
|
15 |
If the partial sum of series is finite then the series will be: |
Convergent
GIve no information
Not Sure
|
16 |
For a sequence {an}if the ration of successive terms an+1/ an>1 then the sequence is known as |
Increasing
Decreasing
Non Increasing
Non decreasing
|
17 |
For a sequence {an} if the difference between successive terms an+1-an<=0 then the sequence is known as |
increasing
decreasing
non decreasing
non increasing
|
18 |
{1/2n}n1 represent the sequence |
-1/2,-1/4,-1/8
1/2,1/4,1/7=8
0,1,1/2,1/4
|
19 |
What is the length of each sub interval ,if the interval [1,3] is divided into n sub interval of equal length? |
1/n
2/n
3/n
4/n
|
20 |
If f and g are continuous function on an interval [a,b] f(x)>=g(x) for a<=x<=b and ,then area is bounded by the lines parallel to : |
X-axis
Y axis
Both x and y axis
|