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Shubham Gupta
Subject: Maths
, asked on 12/4/18
Solve this:
1
.
Let
f
xy
=
f
x
f
y
V
x
,
y
∈
R
and
f
is
differentiable
at
x
=
1
such
that
f
1
=
1
also
f
1
≠
0
,
then
show
that
is
differentiable
for
all
x
≠
0
.
Hence
,
determine
f
x
.
Answer
1
Shubham Gupta
Subject: Maths
, asked on 12/4/18
Solve this:
Q50. Let f (xy) = xf (y) + y f (x) for all x, y
∈
R, and f (x) be differentiable in (0 ,
∞
) then determine f (x).
Answer
1
Shubham Gupta
Subject: Maths
, asked on 12/4/18
Solve this:
Q.49. Let
f
:
R
→
R
, such that f'(0) = 1 and f (x + y) = f (x) + f (y) +
e
x
+
y
x
+
y
-
x
e
x
-
y
e
y
+
2
x
y
∀
x
,
y
∈
R
then determine f (x).
Answer
1
Shubham Gupta
Subject: Maths
, asked on 12/4/18
Solve this:
Answer
1
Shubham Gupta
Subject: Maths
, asked on 12/4/18
Solveboth
Q47. Let f be a one-one function such that f (x) f (y) + 2 = f (x) + f (y) + (xy)
∀
x
,
y
∈
R
~
0
and f (0) = 1, f(1) = 2 then prove that 3
∫
f
x
dx
-
x
f
x
+
2
is constant.
Q48. If e
–ey
f (xy) = e
x
f (x) + e
y
f (y)
∀
x
,
y
∈
R
, and f ' (1) = e, determine f (x).
Answer
1
Shubham Gupta
Subject: Maths
, asked on 12/4/18
Solve this:
Answer
1
Aayushi
Subject: Maths
, asked on 22/3/18
Solve this
Q. If
lim
x
→
5
f
x
=
4
t
h
e
n
lim
y
→
1
3
f
15
y
=
(a) 1
(b) 1/3
(c) 5
(d) 4
Answer
1
Aayushi
Subject: Maths
, asked on 22/3/18
Please solve this
Q.
lim
x
→
∞
1
+
x
4
-
1
+
x
2
x
2
=
(a) - 1
(b) 0
(c) 2
(d)
Answer
1
Siddhanth Chauhan
Subject: Maths
, asked on 22/3/18
Solve this:
Q.(9)
lim
θ
→
0
8
sin
θ
-
θ
cos
θ
3
tan
θ
+
θ
2
Answer
1
Shubham Gupta
Subject: Maths
, asked on 15/3/18
What is leibnitz theorem
Answer
1
Shubham Gupta
Subject: Maths
, asked on 12/3/18
Solve this:
Answer
1
Shubham Gupta
Subject: Maths
, asked on 10/3/18
Let
a
and
b
be the distinct roots of
a
x
2
+
b
x
+
c
=
0
,
then
lim
x
→
α
1
-
cos
a
x
2
+
b
x
+
c
x
-
α
2
is equal to
(a) 0 (b)
a
2
α
-
β
2
2
(c)
α
-
β
2
2
(d)
-
a
2
α
-
β
2
2
Answer
1
Shubham Gupta
Subject: Maths
, asked on 6/3/18
Solve this:
Answer
1
Shubham Gupta
Subject: Maths
, asked on 5/3/18
.pl
Q.6. Find the value of
lim
n
→
∞
2
π
n
+
1
cos
-
1
1
n
-
n
.
Answer
1
Shubham Gupta
Subject: Maths
, asked on 28/2/18
Solve this:
Q.
lim
θ
→
0
1
-
cos
θ
cos
3
θ
θ
2
cos
9
θ
Answer
2
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What are you looking for?
Q50. Let f (xy) = xf (y) + y f (x) for all x, yR, and f (x) be differentiable in (0 ,) then determine f (x).
Q.49. Let , such that f'(0) = 1 and f (x + y) = f (x) + f (y) + then determine f (x).
Solveboth
Q48. If e–ey f (xy) = ex f (x) + ey f (y) , and f ' (1) = e, determine f (x).
Q. If
(a) 1
(b) 1/3
(c) 5
(d) 4
Q.
(a) - 1
(b) 0
(c) 2
(d)
Q.(9)
(a) 0 (b) (c) (d)
Q.6. Find the value of .
Q.