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Laieeqa
Subject: Maths
, asked on 12/1/18
Solve
Q.4). An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water. Show that the cost of the two pieces so that the combined area of the square and the circle is minimum?
Answer
1
Laieeqa
Subject: Maths
, asked on 12/1/18
solve
Q.3). If the sum of a side and the hypotenuse of a right angled triangle be given, show that the area of the triangle will be maximum if the angle between the given side and the hypotenuse be 60
°
.
Answer
1
Laieeqa
Subject: Maths
, asked on 12/1/18
solve
Q.2). Prove that the area of a right angled triangle of given hypotenuse is maximum when the triangle is isosceles.
Answer
1
Laieeqa
Subject: Maths
, asked on 12/1/18
solve
Answer
1
Snegaa J. S.
Subject: Maths
, asked on 11/1/18
Find the equivalent resistance between D and C,
Answer
1
Chaitanya Kapoor
Subject: Maths
, asked on 3/1/18
Q. Find the dimensions of the rectangle of perimeter 36 cm which will sweep out a volume as large as possible, when revolved about one of its sides. Also, find the maximum volume.
Answer
1
Chaitanya Kapoor
Subject: Maths
, asked on 3/1/18
Q15. Evaluate :-
∫
0
a
dx
x
+
a
2
-
x
2
OR
Evaluate :-
∫
0
2
x
2
+
2
x
-
3
d
x
Q16. Find the co-ordinates of the point on the curve
x
+
y
= 4 at which the tangent is equally inclined to the axes.
OR
Show that f (x) = 2x + cot
–1
x + log (
1
+
x
2
-
x
) is increasing in R.
Answer
1
Chaitanya Kapoor
Subject: Maths
, asked on 3/1/18
question no 16 above or
16.
Find the co-ordinates of the point on the curve
x
+
y
=
4
at which the tangent is equally inclined to the axes.
OR
S
h
o
w
t
h
a
t
f
x
=
2
x
+
c
o
t
-
1
x
+
log
1
+
x
2
-
x
i
s
i
n
c
r
e
a
sin
g
i
n
R
.
Answer
1
Aashish Rohilla
Subject: Maths
, asked on 1/1/18
Solve this:
Q5. Show that
y
=
4
sin
θ
2
+
cos
θ
-
θ
is an increasing function of
θ
in
0
,
π
2
?
Answer
1
Devi Das
Subject: Maths
, asked on 1/1/18
Solve this:
Answer
3
Shanaya
Subject: Maths
, asked on 31/12/17
Solve this:
Answer
2
Shanaya
Subject: Maths
, asked on 31/12/17
Solve this:
Answer
2
Yamini Jayachandran
Subject: Maths
, asked on 30/12/17
A tank with rectangular base and rectangular sides open at the top is to be constructed, s that its depth is 3m and volume is 75 m
3
. If the tank costs 100 per sqm for the base and 50 per sqm for the sides find the cost of building the least expensive tank.
Answer
1
Yamini Jayachandran
Subject: Maths
, asked on 30/12/17
Prove the following:
1. sinx(1+cosx), x belongs to [0,pi] is maximum value at x=pi/3
2. f(x)= sinx + (root3)cosx has maximum value at x=pi/6
Answer
1
Yamini Jayachandran
Subject: Maths
, asked on 29/12/17
Find the condition for the following set of curves to intersect orthogonally :
(x
2
/a
2)
+ (y
2
/b
2)
=1 and (x
2
/A
2
)- (y
2
/B
2
)=1
Answer
2
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What are you looking for?
Q.4). An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water. Show that the cost of the two pieces so that the combined area of the square and the circle is minimum?
Q.3). If the sum of a side and the hypotenuse of a right angled triangle be given, show that the area of the triangle will be maximum if the angle between the given side and the hypotenuse be 60.
Q.2). Prove that the area of a right angled triangle of given hypotenuse is maximum when the triangle is isosceles.
OR
Evaluate :-
Q16. Find the co-ordinates of the point on the curve = 4 at which the tangent is equally inclined to the axes.
OR
Show that f (x) = 2x + cot–1 x + log () is increasing in R.
16. Find the co-ordinates of the point on the curve at which the tangent is equally inclined to the axes.
Q5. Show that is an increasing function of in ?
1. sinx(1+cosx), x belongs to [0,pi] is maximum value at x=pi/3
2. f(x)= sinx + (root3)cosx has maximum value at x=pi/6
(x2/a2) + (y2/b2) =1 and (x2/A2 )- (y2/B2)=1