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STA-301 Quiz OnlineTest MCQs With Answers
Question # 1
if xy=4 they dy/dx ?
Choose an answer
-1/x
2
4/x
2
-4/x
2
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Question # 2
If the geometric series a+ar+ar
2
+ar
3
.......+ar
k-1 which of the following is true for the given series
Choose an answer
converges
Diverges
Give no information
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Question # 3
______ is the special case for the Taylor's theorem
Choose an answer
Roll's Theorem
Picard's Method
Integration
Maclaurin Theorem
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Question # 4
h(x)=1/(x-2)(x-4) domain of the function is
Choose an answer
(-
∞,2
)U (2,4)U (4,+
∞
)
(-
∞,2
)U (2,4)U (4,
∞
)
All are incorrect
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Question # 5
d(tan x)/dx =___
Choose an answer
sec x
sec
2
x
cosec
2
x
cosec x
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Question # 6
If there is some function F such that d/dx[F(x)]=f(x) then any of the function of the form F(x)+C is _________ of f(x)
Choose an answer
Derivative
Antiderivative
Slope
Maximum value
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Question # 7
If f is a continuous function such that lim
x
→+
∞
=+
∞ and
lim
x
→+
∞
=+
∞ the f has on
Choose an answer
maximum value but no minimum
minimum value but not maximum
both maximum and minimum value
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Question # 8
Which of the following is the spring constant k if a spring constant whose natural length is 2m exerts a force of 3N when started 1m beyond its natural legth?
Choose an answer
3 x
3 N/m
2 m
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Question # 9
If f(x)=3x
8
+2x+1 then f'x)
Choose an answer
3x
7
+2
24x
7
+2
3x
7
+23
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Question # 10
Suppose f and g are differentiable function of x then d/dx[f/g]
Choose an answer
[g][f'] - [f][g']/g
2
[g'][f] - [f'][g]/g
2
[g'][f] - [f'][g]/f
2
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Question # 11
y=x
2
/2
Let find the average rate of change of y with respect to x over the interval [3,4]
Choose an answer
25/2
7/2
25/14
7/14
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Question # 12
Lim
x
→
0
sinx/x
Choose an answer
1
-1
0
2
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Question # 13
How many critical points exist for a function f if f'(x)=(x-3)(x-2)
Choose an answer
0
1
3
2
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Question # 14
If 2y-y=-3 then dy/dx ?
Choose an answer
2
-2
0
-3
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Question # 15
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 # 16
Which of the following are first two terms for the taylor series of f(x)=e
-x
at x=0?
Choose an answer
1+(1)(x-0)
1+(-1)(x-0)
1+(-1)(x+0)
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Question # 17
Which of the following is true for the sequence {n}
∞ n=0?
Choose an answer
Non increasing
non decreasing
increasing
decreasing
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Question # 18
(x
2
-4)/(x-2) Natural domain is
Choose an answer
(-
∞,2
)U (2,+
∞
)
(-
∞,2
)
(-
∞,0
)
None of these
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Question # 19
If a
1
>a
2
>......>a
n
>.... then a sequence {a
n
} is ....
Choose an answer
increasing
non decreasing
decreasing
non increasing
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Question # 20
If a function has an extreme value (either a maximum or a minimum ) on an open interval (a,b) then the extreme value occurs at ____ of f
Choose an answer
First point
Mid point
Critical Point
End Point
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Question # 21
30
o
Choose an answer
π/3
π/4
π/6
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