Answer:
The population is expected to double in 36 years
Step-by-step explanation:
According to the the rule of 72,
A value is doubled if the product of the annual rate and number of years is 72,
Given,
The annual rate of interest = 2%
Let x be the time in years after 1965,
By the above statement,
The population will double if,
x × 2 = 72 ⇒ x = 36
Hence, the after 36 years since 1965 the population will be doubled,
i.e in 2001. ( ∵ 36 years after 1965 )
Answer:1,81 and 121.;)
Step-by-step explanation:
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:
i belive the answer is the option c
Answer:
No
Step-by-step explanation:
20x2.5=50
51.79-50=1.79
therefore there isn't enough buckets for all the dirt.
