Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr) r(t) (L/h) 0 8.3 2 8.1 4 7.8 6 7.6 8 7.4 10 7.2 Find lower and upper estimates for the total amount of liquid that leaked out of the tank in the first 10 hours. lower estimate = liters upper estimate = liters ว + 3 2 1 -~ 2 To find the blue shaded area above, we would calculate: [* f (x) dx a = area Where: a = f(x) = b = area

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question
Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time
passed and values of the rate at two-hour time intervals are shown in the table.
t (hr) r(t) (L/h)
0
8.3
2
8.1
4
7.8
6
7.6
8
7.4
10
7.2
Find lower and upper estimates for the total amount of liquid that leaked out of the tank in the first
10 hours.
lower estimate =
liters
upper estimate =
liters
Transcribed Image Text:Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr) r(t) (L/h) 0 8.3 2 8.1 4 7.8 6 7.6 8 7.4 10 7.2 Find lower and upper estimates for the total amount of liquid that leaked out of the tank in the first 10 hours. lower estimate = liters upper estimate = liters
ว
+
3
2
1
-~
2
To find the blue shaded area above, we would calculate:
[* f (x) dx
a
= area
Where:
a =
f(x) =
b
=
area
Transcribed Image Text:ว + 3 2 1 -~ 2 To find the blue shaded area above, we would calculate: [* f (x) dx a = area Where: a = f(x) = b = area
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell