Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
Answer:
a) the varying densities are to be considered with respect to position
Step-by-step explanation:
the complete answer is found in the attachment
Answer:
The answer is 36
Step-by-step explanation:
To find the volume you:

<span>46, 37, 16, 24, 47, 23, 19, 31, 25
put in order</span>
16, 19, 23, 24, 25, 31,37, 46, 47
mean = 25
LOWER QUARTILE = (16+ 19+ 23+ 24) / 4 = 20.5
answer
Lower IQR = 20.5
Answer:
96 square inches.
Step-by-step explanation:
From given picture we see that
BC=8 in
AD=10 in
Given that
AD=AB
Then AB=10 in
Apply Pythagorean theorem in triangle ABC to find AC






take square root

Then area of triangle ABC 

There are total 4 congruent triangles.
Then total area of the given figure = 4(24)=96 square inches.