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
The greatest number of gift basket the baker can make is 8. Since there are 80 rolls and 64 muffins and he wants each gift basket to have the same amount of rolls and muffins and use all the rolls and muffins, there would be 10 rolls and 8 muffins in each gift basket.
Answer:
24a-140 is the correct answer
Step-by-step explanation:
4a²+8a-140
4a×4a=16a+8a-140
24a-140
Answer:
radius : 29.99 feet
Area : 2824.57 square feet
Step-by-step explanation: