3/3 (d) The value of the biomass at the end of the time interval [0,5] is Bo + (Type an expression using Bo as the variable.)

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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6.3-1: part d please

Suppose that a change in biomass B(t) at time t during the interval [0,5] follows the
AdB/dt
dB
equation (t) = 2 cost for 0sts 5, and that B(0)=B,. Use this information to
answer parts a through d below.
6 sin
That's incorrect.
2 cos
dx =
Recall that the initial biomass B(0) = B, was given in the problem statement. To
(Type an expression using t as the variable. Type an exact answer, using t as
needed.)
find the value of the biomass at the end of the time interval [0,5], add your answer
from the previous step to the initial biomass.
3/3
(c) The cumulative change in the biomass at time t=5 is
OK
(Type an exact answer, using t as needed. Use integers or fractions for any
numbers in the expression.)
3/3
(d) The value of the biomass at the end of the time interval [0,5] is
+ Bo
(Type an expression using B, as the variable.)
Transcribed Image Text:Suppose that a change in biomass B(t) at time t during the interval [0,5] follows the AdB/dt dB equation (t) = 2 cost for 0sts 5, and that B(0)=B,. Use this information to answer parts a through d below. 6 sin That's incorrect. 2 cos dx = Recall that the initial biomass B(0) = B, was given in the problem statement. To (Type an expression using t as the variable. Type an exact answer, using t as needed.) find the value of the biomass at the end of the time interval [0,5], add your answer from the previous step to the initial biomass. 3/3 (c) The cumulative change in the biomass at time t=5 is OK (Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) 3/3 (d) The value of the biomass at the end of the time interval [0,5] is + Bo (Type an expression using B, as the variable.)
dB/dt
Suppose that a change in biomass B(t) at time
t during the interval [0,5] follows the equation
dB
(t) = 2 cos zt| for 0sts 5, and that
B(0)=B,. Use this information to answer parts
dt
a through d below.
Type an CAQCI anowei, usng a as Ictucu./
(c) The cumulative change in the biomass
3/3
at time t= 5 is
(Type an exact answer, using t as needed.
Use integers or fractions for any numbers
in the expression.)
(d) The value of the biomass at the end of
the time interval [0,5] isO.
(Type an expression using B, as the
variable.)
Transcribed Image Text:dB/dt Suppose that a change in biomass B(t) at time t during the interval [0,5] follows the equation dB (t) = 2 cos zt| for 0sts 5, and that B(0)=B,. Use this information to answer parts dt a through d below. Type an CAQCI anowei, usng a as Ictucu./ (c) The cumulative change in the biomass 3/3 at time t= 5 is (Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) (d) The value of the biomass at the end of the time interval [0,5] isO. (Type an expression using B, as the variable.)
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