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
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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