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Soumyadeep Kar
Subject: Maths
, asked on 23/10/17
How can we integrate [
(x+1)
n
- 1]/x
with respect to x.
Answer
1
Aman Dagar
Subject: Maths
, asked on 20/10/17
Q28, 29 please
Q.28. Find the domain and range of,
f (x) = | 2x - 3 | - 3
Q.29. Draw the graph of the Greatest Integer function
Answer
1
Aman Dagar
Subject: Maths
, asked on 20/10/17
Solve this :
18
.
Find
the
domain
of
the
function
,
f
(
x
)
=
x
2
+
2
x
+
3
x
2
-
5
x
+
6
Find
the
range
of
the
following
functions
,
(
Question
-
20
,
21
)
20
.
f
x
=
1
1
-
x
2
21
.
f
(
x
)
=
x
2
+
2
22
.
Find
the
domain
of
the
relation
,
R
=
x
,
y
:
x
,
y
∈
Z
,
xy
=
4
Answer
1
Sarthak
Subject: Maths
, asked on 16/10/17
Q-3 EX.3.4 of class 11 RD Sharma
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
No links please
6. If f '(x) and if f < 0 everywhere in the interval
a
≤
x
≤
b
,
the show that f(x) is a decreasing function in
a
≤
x
≤
b
,
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
No links please
5
.
I
s
L
a
g
r
a
n
g
e
'
s
m
e
a
n
v
a
l
u
e
t
h
e
o
r
e
m
a
p
p
l
i
c
a
b
l
e
t
o
t
h
e
f
u
n
c
t
i
o
n
f
(
x
)
=
4
6
-
x
2
3
i
n
t
h
e
i
n
t
e
r
v
a
l
5
⩽
x
⩽
7
?
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
I
f
(
1
+
x
)
n
=
C
0
+
C
1
x
+
C
2
x
2
+
⋯
+
C
n
x
n
,
p
r
o
v
e
t
h
a
t
C
1
-
2
C
2
+
3
C
3
-
⋯
+
(
-
1
)
n
-
1
·
n
C
n
=
0
.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
No links please
Q
.
I
f
1
+
x
n
=
C
0
+
C
1
x
+
C
2
x
2
+
.
.
.
+
C
n
x
n
,
p
r
o
v
e
t
h
a
t
,
(
i
)
C
0
+
2
C
1
+
3
C
2
+
.
.
.
+
n
+
1
C
n
=
n
+
2
·
2
n
-
1
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
No links please
Q.15. If
y
=
c
o
t
-
1
1
+
x
-
1
-
x
1
+
x
+
1
-
x
, show that,
d
y
d
x
x
=
1
2
=
-
1
3
Answer
4
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
I
f
y
=
tan
-
1
1
+
t
2
+
1
-
t
2
1
+
t
2
-
1
-
t
2
,
t
h
e
n
f
i
n
d
t
h
e
v
a
l
u
e
o
f
d
y
d
t
.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
No links please
Q.10. If
y
x
=
e
y
-
x
prove that,
d
y
d
x
=
log
e
y
2
log
y
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
No links please
Q.5. If
y
=
tan
x
tan
x
tan
x
, find
d
y
d
x
a
t
x
=
π
4
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 8/10/17
If
y
=
1
+
sin
θ
+
cos
θ
1
+
sin
θ
-
cos
θ
,
show
that
,
d
y
d
θ
+
1
1
-
cos
θ
=
0
.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 7/10/17
No links please:
Q
.
Find
dy
dx
when
:
viii
y
=
tan
-
1
a
-
b
a
+
b
tan
x
2
Ans
:
a
2
-
b
2
2
a
+
b
cos
x
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 7/10/17
No links please
F
i
n
d
d
y
d
x
w
h
e
n
:
(
v
i
)
y
=
2
tan
-
1
x
-
a
b
-
x
4
.
(
v
i
)
A
n
s
:
1
x
-
a
b
-
x
Answer
1
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What are you looking for?
Q.28. Find the domain and range of,
f (x) = | 2x - 3 | - 3
Q.29. Draw the graph of the Greatest Integer function
6. If f '(x) and if f < 0 everywhere in the interval the show that f(x) is a decreasing function in
Q.15. If , show that,
Q.10. If prove that,
Q.5. If , find