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Byju's Answer
Standard XIII
Mathematics
Average Rate of Change as Slope of Secant
A point moves...
Question
A point moves in a straight line during the time t = 0 to t = 3 according to the law
s
=
15
t
−
2
t
2
.
The average velocity is
[MP PET 1992]
A
3
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B
9
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C
15
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D
27
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Solution
The correct option is
D
27
I
n
=
d
n
−
1
d
x
n
−
1
[
x
n
−
1
+
n
x
n
−
1
l
o
g
x
]
I
n
=
(
n
−
1
)
!
+
n
I
n
−
1
⇒
I
n
−
n
I
n
−
1
=
(
n
−
1
)
!
.
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