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Math 12 Chapter 2
Differentiation
Test - 10
1.
Maclaurin�s series expansion of sin x is, x - x
3
/3! + x
5
/5! - x
7
/7! + _____________________
a) False
b) True
2.
Maclaurin�s series expansion of cos x is 1 - x
2
/2! - x
4
/4! - x
6
/6! - x
8
/8! - __________________
a) False
b) True
3.
The increment in x should always be positive.
a) False
b) True
4.
Relative maxima is not necessarily the highest point of the graph.
a) False
b) True
5.
If f(x) = cos x then f'' (
p
/2) = 1.
a) True
b) False
6.
A series of the form a
0
+ a
1
x + a
2
x
2
+ a
3
x
3
+- - - - - - - - - - - - - -+ a
n
x
n
+ _______________ is called a power series expansion.
a) True
b) False
7.
f''(x) is positive at the point x = c where f has relative maxima.
a) False
b) True
8.
d/dx (coth
-1
x) = 1/(1+x
2
)
a) False
b) True
9.
There is no tangent line to the graph of y = |x| at x = 0.
a) True
b) False
10.
When f ' (x) < 0 for each x
e
] a,b [ then f(x) is increasing.
a) True
b) False
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