Answer:
A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.
dH/dt = the rate of change of the height of the water in the tank with respect to the time
B) dV/dt is positive
C) dH/dt is positive
Step-by-step explanation:
We are given that;
V(t) is the volume of water in the tank and H(t) is the height of the water level at time t. Thus;
A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.
dH/dt = the rate of change of the height of the water in the tank with respect to the time
B) When the tank is one-fourth full, dV/dt is positive because the volume water in the tank is increasing with time.
C) when the tank is one-fourth full, dH/dt is positive because the height has increased from zero level to 0.25 times the height of the tank. Thus the height is increasing with time.
Answer:
B AND F
Step-by-step explanation:
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Anwser 5 5/6 I know this because I’ve done the subject before
Answer:
1001.35
Step-by-step explanation:
Assuming
n
=
5
for which sum to be found.
We know sum of geometric series up to
n
th term is
S
n
=
a
1
⋅
r
n
−
1
r
−
1
Here
a
1
=
0.11
,
r
=
9.5
,
n
=
5
∴
S
5
=
a
1
⋅
r
5
−
1
r
−
1
=
0.11
⋅
9.5
5
−
1
9.5
−
1
≈
1001.35
[Ans]