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Sangeeta Jha
Subject: Maths
, asked on 3/4/18
Solve this:
Q.87. Let a, b, c
∈
R. If f (x) =
a
x
2
+
b
x
+
c
be such that a + b + c = 3 and f (x + y) = f (x) + f (y) + xy,
∀
x, y
∈
R, then
∑
n
=
1
10
f
(
n
)
is equal to
(a) 330
(b) 165
(c) 190
(d) 255
Answer
1
Riya Raheem
Subject: Maths
, asked on 1/4/18
y=x
x
.prove that d
2
y/dx
2
-1/y*(dy/dx)
2
-y/x=0
Answer
1
Rupal Sahu
Subject: Maths
, asked on 27/3/18
Solve this:
Q1. Let a = min [x
2
+ 2x + 3 , x
∈
R
] and b =
Lim
θ
→
0
1
-
cos
θ
θ
2
. The value of
∑
r
=
0
n
a
r
.
b
n
-
r
is
A
2
n
+
1
-
1
3
.
2
n
B
2
n
+
1
+
1
3
.
2
n
C
4
n
+
1
-
1
3
.
2
n
(D) none of these
Answer
1
Shri Ganesh
Subject: Maths
, asked on 25/3/18
Q.10
3
is (1) 1/8 (2) 0 (3) 1/32 (4) infinity
Answer
1
Deepak Vyas
Subject: Maths
, asked on 19/3/18
I
f
x
=
a
cos
3
θ
a
n
d
y
=
a
sin
3
θ
,
t
h
e
n
f
i
n
d
t
h
e
v
a
l
u
e
o
f
d
2
y
d
x
2
a
t
θ
=
π
6
.
Answer
3
Jeneeta Eliza John
Subject: Maths
, asked on 18/3/18
Please solve both the parts
Q.23.Consider the functions defined as follows, for
x
≠
0
. In each case, what choice (if any) of f (0) will make the function continuous at x = 0?
(i)
f
x
=
1
+
x
3
-
1
x
(ii)
f
x
=
5
x
-
3
tan
x
+
sin
2
x
x
Answer
1
Jeneeta Eliza John
Subject: Maths
, asked on 18/3/18
Please solve
Example 31. Examine the function f (x) =
x
tan
-
1
1
x
,
x
≠
0
0
,
x
=
0
for continuity at x = 0.
Answer
1
Jeneeta Eliza John
Subject: Maths
, asked on 18/3/18
Please answer
30
.
E
x
a
m
i
n
e
t
h
e
f
u
n
c
t
i
o
n
f
(
x
)
=
x
-
a
sin
1
x
-
a
,
x
≠
a
0
,
x
=
a
f
o
r
c
o
n
t
i
n
u
i
t
y
a
t
x
=
a
.
Answer
1
Jeneeta Eliza John
Subject: Maths
, asked on 18/3/18
Please solve
Example 29. Examine the function f (x) =
x
cos
1
x
,
x
≠
0
0
,
x
=
0
for continuity at x = 0.
Answer
2
N I S H I D H A .
Subject: Maths
, asked on 17/3/18
Is it necessary to simplify the answer like this? :/ If so, how do we get that?
7.
2
c
o
t
(
x
2
)
Answer
2
Dipesh Malhotra
Subject: Maths
, asked on 17/3/18
Solve this:
Answer
1
Vibhav
Subject: Maths
, asked on 16/3/18
How to solve Q24
Also how is f(0) = 1
Answer
2
Kartik Arora
Subject: Maths
, asked on 16/3/18
Solve it:
Example 5. Show that the function
f
(x) given by
f
(x)=
e
1
x
-
1
e
1
x
+
1
w
h
e
n
x
≠
0
i
s
d
i
s
c
o
n
t
i
n
u
o
u
s
w
h
e
n
x
≠
0
0
at x=0.
Answer
1
Varnika Dhiman
Subject: Maths
, asked on 16/3/18
Why that cosx got disappeared ?!.. Kindly explain.
Answer
1
Varnika Dhiman
Subject: Maths
, asked on 16/3/18
In this example 41.. it said, root 5 is maximum or minimum. Then, what did we do after we get 3>root5 ?!..
41. Find the maximum and minimum values, if any , of the following function given by.
(
i
)
f
(
x
)
=
(
2
x
-
1
)
2
+
3
(
i
i
)
f
(
x
)
=
9
x
2
+
12
x
+
2
(
i
i
i
)
f
(
x
)
=
-
(
x
-
1
)
2
+
10
(
i
v
)
f
(
x
)
=
x
2
+
1
Answer
1
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What are you looking for?
Q.87. Let a, b, c R. If f (x) = be such that a + b + c = 3 and f (x + y) = f (x) + f (y) + xy, x, y R, then is equal to
(a) 330
(b) 165
(c) 190
(d) 255
Q1. Let a = min [x2 + 2x + 3 , x ] and b = . The value of is
(D) none of these
Q.23.Consider the functions defined as follows, for . In each case, what choice (if any) of f (0) will make the function continuous at x = 0?
(i)
(ii)
Example 31. Examine the function f (x) = for continuity at x = 0.
Example 29. Examine the function f (x) = for continuity at x = 0.
7.
Also how is f(0) = 1
Example 5. Show that the function f (x) given by f(x)=
at x=0.
41. Find the maximum and minimum values, if any , of the following function given by.