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Kabir Chhabra
Subject: Maths
, asked on 16/5/18
E
v
a
l
u
a
t
e
lim
x
→
2
x
9
-
3
x
8
+
x
6
-
9
x
4
-
4
x
2
-
16
x
+
84
x
5
-
3
x
4
-
4
x
+
12
Answer
4
Raj Aryan
Subject: Maths
, asked on 12/5/18
Solve this :
13
.
L
e
t
f
(
x
)
b
e
d
e
f
i
n
e
d
o
n
-
2
,
2
a
n
d
i
s
g
i
v
e
n
b
y
f
(
x
)
=
-
1
,
-
2
≤
x
≤
0
x
-
1
,
0
≤
x
≤
2
a
n
d
g
(
x
)
=
f
x
+
f
x
,
t
h
e
n
f
i
n
d
g
(
x
)
.
Answer
2
Raj Aryan
Subject: Maths
, asked on 12/5/18
Q). If f(x) is symmetrical about the line x = a, x = b (a > b). Prove that f(x) is periodic.
Answer
1
Raj Aryan
Subject: Maths
, asked on 11/5/18
Solve this:
12
.
Of
f
:
R
→
S
defined
by
f
x
=
sinx
-
3
cos
x
+
1
is
onto
,
then
the
interval
of
S
is
.
A
-
1
,
3
B
1
,
1
C
0
,
1
D
0
,
-
1
Answer
1
Raj Aryan
Subject: Maths
, asked on 11/5/18
Solve this:
Answer
1
Raj Aryan
Subject: Maths
, asked on 11/5/18
Solve this:
Answer
1
Raj Aryan
Subject: Maths
, asked on 11/5/18
Solve this:
Answer
1
Rohit Kumar
Subject: Maths
, asked on 11/5/18
THE FUCTION F: R=>R , DEFINE AS F(X) =SIN (2X+3),IS
NOTE 1-1 NOT ONTO HOW
Answer
1
Rohit Kumar
Subject: Maths
, asked on 11/5/18
THE FUNCTION f:[0,3] =>[1,29] DEFINED BY f(x)=2x^3-15x^2+36x+1,is
ONE -ONE AND ONTO
ONTO BUT 1-1
1-1 BUT NOT ONTO
MANY-1
Answer
1
Rohit Kumar
Subject: Maths
, asked on 11/5/18
if f(x)=sin[pie ^3/3]x + sin[-pie^3/2]x, WHERE [x] IS THE GREATEST INTEGER LESS THAN OR EQUAL TO x , THEN WHAT IS THE VALUE OF f '(pie/2)?
Answer
1
Raj Aryan
Subject: Maths
, asked on 10/5/18
Solve this :
9
.
L
e
t
f
:
2
,
4
→
1
,
3
w
h
e
r
e
f
(
x
)
=
x
-
x
/
2
w
h
e
r
e
.
d
e
n
o
t
e
s
t
h
e
g
r
e
a
t
e
s
t
i
n
t
e
g
e
r
f
u
n
c
t
i
o
n
)
,
t
h
e
n
f
-
1
(
x
)
i
s
(
A
)
n
o
t
d
e
f
i
n
e
d
(
B
)
x
-
1
(
C
)
x
+
1
(
D
)
n
o
n
e
o
f
t
h
e
s
e
Answer
1
Raj Aryan
Subject: Maths
, asked on 10/5/18
Solve this:
Q.10. Let f : R
→
R, then f (x) = 2x + | cos x | is
(A) one-one and into
(B) one-one and onto
(C) many-one and into
(D) many-one and onto
Answer
1
Raj Aryan
Subject: Maths
, asked on 10/5/18
Q.9. Let
f
:
R
→
R
, where
f
x
=
2
x
-
2
-
x
, then f(x) is
(A) one-one
(B) many-one
(C) periodic
(D) none of these
Answer
1
Raj Aryan
Subject: Maths
, asked on 10/5/18
Solve this:
Q.8. Let X = Y = [- 1, 1]. For each of the following functions from X to Y, state whether it is onto or into.
(a) f(x) =
x
2
(b) g (x) = | x |
(c) h (x) = x | x |
(d) f (x) = sin
π
x
Answer
1
Raj Aryan
Subject: Maths
, asked on 10/5/18
Prove that this function is onto.
Q.7. f : [- 3
π
, 2
π
]
→
[- 1, 1] defined by f (x) = sin 3x.
Answer
1
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What are you looking for?
NOTE 1-1 NOT ONTO HOW
Q.10. Let f : R R, then f (x) = 2x + | cos x | is
(A) one-one and into
(B) one-one and onto
(C) many-one and into
(D) many-one and onto
(A) one-one
(B) many-one
(C) periodic
(D) none of these
Q.8. Let X = Y = [- 1, 1]. For each of the following functions from X to Y, state whether it is onto or into.
(a) f(x) =
(b) g (x) = | x |
(c) h (x) = x | x |
(d) f (x) = sin x
Q.7. f : [- 3, 2] [- 1, 1] defined by f (x) = sin 3x.