Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
A farm tank in a dry region is filled by a pump. The… | StemPy Lab
Quizzes
/
A farm tank in a dry region is filled by a pump. The rate of inflow is r(t) = 24 - 3t litres per minute, for 0 ≤ t ≤ 8 minutes, where t is the time since the pump started. How many litres enter the tank in the eight minutes?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Application of Integrals
A-Level
AP
IB
Created by
StemPy Lab
A farm tank in a dry region is filled by a pump. The rate of inflow is
r
(
t
)
=
24
−
3
t
r(t) = 24 - 3t
r
(
t
)
=
24
−
3
t
litres per minute, for
0
≤
t
≤
8
0 \le t \le 8
0
≤
t
≤
8
minutes, where
t
t
t
is the time since the pump started. How many litres enter the tank in the eight minutes?
192
litres
192\ \text{litres}
192
litres
96
litres
96\ \text{litres}
96
litres
12
litres
12\ \text{litres}
12
litres
0
litres
0\ \text{litres}
0
litres
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← The picture shows the velocity of a trolley on a straight track, made of straight lines. It moves forward, then reverses, and then keeps reversing at a steady speed. What is the total distance it travels in the 7 seconds?
A winding footpath follows the curve y = 2/3x^(3/2) from x = 0 to x = 8, with x and y in metres. The council wants to know the length of the path. How long is it? →
More on
Functions and Calculus › Application of Integrals
Discussion (0)
Log in
to join the discussion.
Loading…
All questions on this topic →
Problems on this topic
A power cable hangs between two poles of equal height, 30 m apart…
Hard
A landscape gardener lays a curved border of stones along the graph of y = x²/4 - (ln x)/2, from x…
Medium
A rain gauge in a hill town records the rainfall intensity R(t) = 12te^(-t/2) millimetres per hour…
Medium
A warehouse robot moves along a straight rail…
Hard
All problems on this topic →