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ECAT Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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Question # 4
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2x
x/2
2x
3
x
3
/2
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Question # 5
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Question # 6
d/dx(x
3
+ 2x +3)=
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x
2
+ 2
3x + 2
3x
2
+ 5
3x2 + 2
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Question # 7
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-2x
x
-3
-2x
3
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Question # 8
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8
1/8
1/3
2/3
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Question # 9
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Question # 10
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Question # 11
Let∫ be real valued function continuous in the interval (x,x
1
)⊆ D∫ (the domain of∫),
then∱(x
1
) -∱ (x)/x
1
-x represents:
Choose an answer
Instantaneous rate
Average rate of change
Differential coefficient
None of these
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Question # 12
Differentiation of sin x w.r.t. cot x is:
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-sin
2
x sec x
-cos x sin
2
x
-cos
2
x tan x
-sin
2
x
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Question # 13
d/dx (cosec x)
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-sec x tan x
sin x cos x
-csc x cot x
2sin x cos x
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Question # 14
∱(x) = ax
2
-3x -5, and∱
1
(2) = 9, a is equal to
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2
3
-2
4
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Question # 15
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Question # 16
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0
8
5
9
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Question # 17
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x
n-1
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Question # 18
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zero at x
differentiable at x
continuous at x
none of these
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Question # 19
If∱(x) = c then∱
1 (x0 equals:
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1
0
cx
c
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Question # 20
d/dx (cos x
2
) =
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-2x cos x
-2x sin x
2
-2x tan x
-2x sec
2
x
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Question # 21
The derivative of 1/x
m
is:
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x
m+1
/ m
m(x)
m-1
(m-1) x
-m
m/x
m+1
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Question # 22
If x =1 -t
2
and y =3t
2
- 2t
3
then dy/dx =
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(1-t)
3(1+t)
3(t-1)
3/1-t
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Question # 23
If y=x
m
then dy/dx equals:
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mx
x/m
mx
m-1
xm
m-1
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Question # 24
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Question # 25
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100
-100
0
-101
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Question # 26
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Question # 27
If c is a constant, then d/dx (c) =
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0
c
cx
1
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Question # 28
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Question # 29
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None of these
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Question # 30
If y = (7x + 9)
2
, then dy/dx equals:
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98x +126
14x
14x +18
14x+81
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