Answer:
20
Step-by-step explanation:
You have to fill in 6 slots _ _ _ _ _ _.
Since first digit must be 4, there is only 1 way to fill in the 1st slot.
with the 5 slots, we fill in the 6s first, 3 of them.
So we have 5 options and 3 items to fill, (5 choose 3).
Then 2 ways to fill 1 and 1 way to fill 5. (It doesn't matter if you pick 5 or 1 first).
So it becomes (5C3) * (2C1) *(1C1)
= 1 * 5!/(3!)(5-3)! * (2) * 1
= 20
Answer:
The equation's Slope is -1
$19,802.5 I hope this helps and I'm sorry I didn't reply sooner.
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