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Apurva Inamdar
Subject: Maths
, asked on 25/4/18
5th question
Q.5. The quadratic expression
21
+
12
x
-
4
x
2
takes
(a) the least value 5
(b) the highest value 30
(c) the highest value 21
(d) none of these
Answer
1
Muhammad Arafath R Z
Subject: Maths
, asked on 18/4/18
Q. The curve satisfying the differential equation , (x
2
-y
2
) dx +2xy dy = 0 and passing through the point (1,1) is : (a) an ellipse (b) a hyperbola (c) a circle of radius one (d) a circle of radius two
Answer
1
Shri Ganesh
Subject: Maths
, asked on 9/4/18
please help me solve this question:
8. Solution of the differential equation
d
x
d
y
=
x
+
y
+
7
2
x
+
x
y
+
3
is.
A
6
x
+
y
+
11
ln
3
x
+
3
y
+
10
=
9
x
+
c
B
6
x
+
y
-
11
ln
3
x
+
3
y
+
10
=
9
x
+
c
C
6
x
+
y
-
11
ln
x
+
y
+
10
3
=
9
x
+
c
D
6
x
+
y
-
11
ln
x
+
y
+
10
=
9
x
+
c
Answer
1
Sandra Saju
Subject: Maths
, asked on 23/3/18
Find the HCF of the polynomials P(x)=24(6x
4
-x
3
-2x
2
) and Q(x)=20(2x
6
+3x
5
+x
4
).
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 23/3/18
No links please
Q.
If the rate of increase of population is 8% per year, then in how many years the population will be doubled? Use differential equation for it.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 22/3/18
No links please
Q.(i) Find the value of
lim
h
→
0
e
tan
h
-
1
h
Ans : 1
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 21/3/18
No links please
Q(i). Let :
f
: N
∪
{O}
→
.
N
∪
O
be defined by
f
(n) =
n
+
1
,
if
n
is
even
.
n
-
1
,
if
n
is
odd
.
Show that
f
is invertible and
f = f
–1
.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 21/3/18
No links please
Q.(ii) Show that the length of the portion of tangent to the curve
x
2
3
+
y
2
3
=
a
2
3
at any point of it, intercepted between the coordinate axes is constant.
Answer
2
Shubhrajyoti Ghosh
Subject: Maths
, asked on 21/3/18
No links please
Q. Find the order and degree of the differential equation
y
=
x
d
y
d
x
+
a
2
d
y
d
x
2
+
b
2
(vi) Ans : Degree - 2, Order - 1
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 21/3/18
No links please
Q. (iii) For x > 0 prove that
x
-
x
2
2
<
log
1
+
x
<
x
-
x
2
2
1
+
x
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 20/3/18
No links please
S
o
l
v
e
:
1
+
3
e
y
x
d
y
+
3
e
y
x
1
-
y
x
d
x
=
0
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 20/3/18
No links please
Q.C) i) Differentiate
tan
-
1
1
+
x
2
-
1
x
with respect to
tan
-
1
2
x
1
-
x
2
1
-
2
x
2
at x = 0.
Answer
1
Ashrita Mishra
Subject: Maths
, asked on 20/3/18
let the function x(t) and y(t) satisfy the diffrential equatiion dx/dt + ax =0, dy//dt +by = 0 If x(0)= 2, y(0)= 1 and x(1)/y(1) = 3/2 then x(t) = y(t) fot t=
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 19/3/18
No links please
Q
.
y
=
x
n
-
1
log
x
,
P
r
o
v
e
t
h
a
t
x
2
d
2
y
d
x
2
+
(
3
-
2
n
)
.
x
d
y
d
x
+
(
n
-
1
)
2
y
=
0
Answer
1
Shanaya
Subject: Maths
, asked on 19/3/18
In example 7 how did we arrive at the last step? or given
Answer
2
1
2
3
4
5
Next
What are you looking for?
Q.5. The quadratic expression takes
(a) the least value 5
(b) the highest value 30
(c) the highest value 21
(d) none of these
8. Solution of the differential equation is.
Q. If the rate of increase of population is 8% per year, then in how many years the population will be doubled? Use differential equation for it.
Q.(i) Find the value of
Ans : 1
Q(i). Let : f : N {O} be defined by
f (n) =
Show that f is invertible and f = f –1.
Q.(ii) Show that the length of the portion of tangent to the curve at any point of it, intercepted between the coordinate axes is constant.
Q. Find the order and degree of the differential equation
(vi) Ans : Degree - 2, Order - 1
Q. (iii) For x > 0 prove that
Q.C) i) Differentiate with respect to at x = 0.