IZO there is a large tauk. it contains liters of water Kennith decides to disolve 16 grams of salt in the tank of water. Brine containing 11 grams of salt per liter is pumped into the tank at a rate of 9 liters per minute. The well mixed solution is pumped out of the tank at a rate of 2 litres per minute. a) Please find an expression for the amount of water in the tank after t" minutes. Your answer Symbolic fuhetion of the b) Let x(t) be the the amount of salt in the tank after "t" minutes. Which of following provided is a equation for x (t). differential dr dt dz dt should be a t. = 18 2 x (t) dz = 9-1x(t) 1 db 60 120+qt =9-9x(t) 120+7t @dx = 99-2x (t) dt 120+7t @dx = 18 - - x (t) © dx = 99-92 (t) ㅗ dt 60 dt 120+7t |dx = 99 - ²³ x(t) 40 @dx = 9 - 2 x (t) dt 120 + 9t
IZO there is a large tauk. it contains liters of water Kennith decides to disolve 16 grams of salt in the tank of water. Brine containing 11 grams of salt per liter is pumped into the tank at a rate of 9 liters per minute. The well mixed solution is pumped out of the tank at a rate of 2 litres per minute. a) Please find an expression for the amount of water in the tank after t" minutes. Your answer Symbolic fuhetion of the b) Let x(t) be the the amount of salt in the tank after "t" minutes. Which of following provided is a equation for x (t). differential dr dt dz dt should be a t. = 18 2 x (t) dz = 9-1x(t) 1 db 60 120+qt =9-9x(t) 120+7t @dx = 99-2x (t) dt 120+7t @dx = 18 - - x (t) © dx = 99-92 (t) ㅗ dt 60 dt 120+7t |dx = 99 - ²³ x(t) 40 @dx = 9 - 2 x (t) dt 120 + 9t
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:there is a
IZO
louge tauks. it contains
liters of water. Kennith decides to
disolve 16 grams of salt in the tank of
water. Brine containing 11 grams of salt
per liter is pumped into the
tank at a rate
well mixed
of 9 liters per minute. The
solution is pumped out of the tank at a rate
of 2
minute.
litres
per
a) Please find an expression for the amount
of water in the tank after t" minutes.
Your answer should
function of
be
a
Symbolic
t.
b) Let x(t) be the the amount of salt in
the tank after, "t" minutes. Which of the
following provided is a differential
equation for
x (t).
Adx = 18-
dt
Ⓒdx = 9-9x (t)
dt
120+7t
@dx
dt
dx
(9)
-
2 x (t)
120+9t
= 18
b)
dz
db
= 9 - — x(t)
60
dx =
dt
:= x (t) © d² = 99-92 (t)
-
60
dt
120 +7€
3
=99-³ x(t)
40
99-2x (t)
120+7t
@dx = 9-2x (t)
dt
120 + qt
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