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STA-301 Quiz OnlineTest MCQs With Answers
Question # 1
If f(x)=e
-x
at x=0 be the taylor series ,then which of the following is also true?
Choose an answer
Arithmetic Series
Maclaurin Series
Geometric Series
Harmonic Series
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Question # 2
For a sequence {a
n
}if the ration of successive terms a
n+1
/ a
n
>1 then the sequence is known as
Choose an answer
Increasing
Decreasing
Non Increasing
Non decreasing
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Question # 3
Let y=(x
3
+2x)
37
Let Which of the following is correct?
Choose an answer
dy/dx=(37)(x
3
+2x)
36
dy/dx=(111x
2
)(x
3
+2x)
36
dy/dx=(111x
2
+74)(x
3
+2x)
36
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Question # 4
If y=1/1-x the dy/dx=____?
Choose an answer
-1
1
1/(1-x)
2
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Question # 5
Which operation could not be applied on the function?
Choose an answer
Cross Product
Sum
Division
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Question # 6
______ is the special case of Taylor's Theorem
Choose an answer
Roll's theorem
Picard Method
Integration
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Question # 7
log
b
a
r
=____?
Choose an answer
a log
b
r
rlog
b
a
log
b
a/log
b
r
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Question # 8
In alternating series test ,which one of the following condition must be satisfied
Choose an answer
lim k
→
∞ a
k
=1
a
1
>a
2
>a
3...............>a
k
a
1
<a
2
<a
3...............<a
k
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Question # 9
log
b
ac_______?
Choose an answer
log
b
a + log
b
c
log
b
a + log
b
b
None of these
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Question # 10
The equation of the line of the form y-y
1
=m(x-x
1
) is known as
Choose an answer
Point Slope form
Two points form
Intercept form
Slop intersect form
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Question # 11
A line is called a tangent line to the circle if it meets the circle at precisely.....
Choose an answer
one point
two point
infinite points
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Question # 12
According to Power -Rule of differentiation ,if f(x) =x
n
where n is a real number,then d/dx[x
n
]
Choose an answer
x
n-1
nx
n-1
(n-1)x
n-1
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Question # 13
The pythagoras theorem describe the relationship between the sides of
Choose an answer
right angle triangle
isoceleous triangle
equilateral traingle
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Question # 14
Which operation can not be applied on the function?
Choose an answer
Subtraction
Cross Product
Addition
Composition
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Question # 15
log
b
1/c=_____?
Choose an answer
log
b
c
1-log
b
c
-log
b
c
1+log
b
c
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Question # 16
If a function g is differentiable at a point x and function f is differentiable at a point g(x),then the __ is differentiable a point x.
Choose an answer
Composition (fog)
Quotient f/g
product f.g
Sum (f+g)
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Question # 17
lim
x
→
∞
(-2x)=
Choose an answer
-2
0
2
Does not exist
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Question # 18
Center and radius of the circle is (x+5)
2
+(y-3)
2
=16 is
Choose an answer
(-5,3),4
(5,-3),16
(5,-3),4
None of these
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Question # 19
According to the power rule of differentiation,if f(x)=x
n
where n is a real number then d/dx[x
n
]=
Choose an answer
x
n-1
nx
n-1
nx
n+1
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Question # 20
If f''(x)<0 on an open interval (a,b) then which of the following statement is correct
Choose an answer
f is concave up on (a,b)
f is concave down on (a,b)
f is linear on a,b
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