Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish, was modelled by the equation 2x + 6 f(t) = x2 + 6x + 2 where t is measured in years and f(t) in kilograms per year. Consider the integral 2x + 6 dx x2 + 6x + 2 After substitution into u, the new integral can be written
Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish, was modelled by the equation 2x + 6 f(t) = x2 + 6x + 2 where t is measured in years and f(t) in kilograms per year. Consider the integral 2x + 6 dx x2 + 6x + 2 After substitution into u, the new integral can be written
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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![Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish, was modelled by the
equation
2х + 6
f(t)
x2
+ 6x + 2
where t is measured in years and f(t) in kilograms per year. Consider the integral
'3
2х + 6
dx
x2 + 6x + 2
After substitution into u, the new integral can be written
du
u
(a) The value of A is
О 1
O 2
Ох+3
О 2х
O o
Ох
O 6
О 2х + 3
(b) The upper limit of integration b is
О 58
О 18
O -9
O 29
O 9
O 1
O 3
O -29](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8084e0e-ff04-4ae8-ba19-f863d28088fa%2F1239b6c9-439a-4754-a099-e6766ef78281%2Fad0k61g_processed.png&w=3840&q=75)
Transcribed Image Text:Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish, was modelled by the
equation
2х + 6
f(t)
x2
+ 6x + 2
where t is measured in years and f(t) in kilograms per year. Consider the integral
'3
2х + 6
dx
x2 + 6x + 2
After substitution into u, the new integral can be written
du
u
(a) The value of A is
О 1
O 2
Ох+3
О 2х
O o
Ох
O 6
О 2х + 3
(b) The upper limit of integration b is
О 58
О 18
O -9
O 29
O 9
O 1
O 3
O -29
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