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STA-301 Quiz OnlineTest MCQs With Answers
Question # 1
______ 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 # 2
The mean value of theorem states that " Let function f can be differentiable on (a,b) and continuous on [a,b] then there is no exist at least one point c in (a,b) where ______
Choose an answer
f'(c)=f(b)-f(a)/b-a
f(c)=f(b)-f(a)/b-a
f(c)=f(a)-f(b)/b-a
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Question # 3
The equation (x+4)
2
+(y+1)
2
=6 represent a circle having center at____ and radius
Choose an answer
(-4,1),undertoot 6
(-4,-11),undertoot 6
None of these
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Question # 4
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 # 5
lim x
→0 sin2x/x____
Choose an answer
2
4
1
8
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Question # 6
lim x
→0
+
ln x/1/x=_______
Choose an answer
1
0
none of these
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Question # 7
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 # 8
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 # 9
if xy=4 they dy/dx ?
Choose an answer
-1/x
2
4/x
2
-4/x
2
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Question # 10
log
b
ac=_________
Choose an answer
log
b
a + log
b
c
log
b
a - log
b
c
log
b
a/log
b
c
log
b
a * log
b
c
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Question # 11
If f is a twice differentiable function at stationary point x
o
an f'(x
o
) >0 then f has relative _______ At x
o
Choose an answer
Minima
Maxima
None of these
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Question # 12
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 # 13
The graph x=y
2
is symmetric about ___ axis
Choose an answer
X -axis
Y-axis
origin
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Question # 14
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 # 15
If 2y-y=-3 then dy/dx ?
Choose an answer
2
-2
0
-3
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Question # 16
If f is a twice differentiable function at stationary point x
o
an f'(x
o
) <0 then f has relative _______ At x
o
Choose an answer
Minima
Maxima
None of these
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