hildsmath) A 1800 L tank contains 500 L of water with a salt concentration of 20 g/L. Water with a salt concentration of 50 g/L flows into the tank at a rate of 90 L/min. The fluid mixes instantaneously and is pumped out at a rate of 90 L/min. Let y(t) denote the quantity of salt in the tank at time t. (a) Find an explicit equation for y(t). Show your work on Crowdmark; state any definitions/techniques/theorems/tests you are using. (b) What is the concentration of salt (in g/L) after 10 minutes? Show your work on Crowdmark; state any definitions/techniques/theorems/tests you are using. Copy your final answer into the box below, rounding to 3 decimal places if rounding is needed. (c) What is the quantity of salt (in g) in the tank as t- o? Justify your selection with a full sentence and/or mathematical solution on Crowdmark. A) 45000 (B) 10000 (C) 35000 (D) 25000 (E) 126000 (F) 36000 (G) 162000 (H) 90000 Select y

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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(9 Crowdmark+ 2 Childsmath)
A 1800 L tank contains 500 L of water with a salt concentration of 20 g/L. Water with a salt concentration of 50
g/L flows into the tank at a rate of 90 L/min. The fluid mixes instantaneously and is pumped out at a rate of 90
L/min. Let y(t) denote the quantity of salt in the tank at time t.
(a) Find an explicit equation for y(t).
Show your work on Crowdmark; state any definitions/techniques/theorems/tests you are using.
(b) What is the concentration of salt (in g/L) after 10 minutes?
Show your work on Crowdmark; state any definitions/techniques/theorems/tests you are using. Copy your
final answer into the box below, rounding to 3 decimal places if rounding is needed.
(c) What is the quantity of salt (in g) in the tank as t-∞?
Justify your selection with a full sentence and/or mathematical solution on Crowdmark.
A) 45000 (B) 10000 (C) 35000 (D) 25000 (E) 126000 (F) 36000 (G) 162000 (H) 90000
Select y
Transcribed Image Text:(9 Crowdmark+ 2 Childsmath) A 1800 L tank contains 500 L of water with a salt concentration of 20 g/L. Water with a salt concentration of 50 g/L flows into the tank at a rate of 90 L/min. The fluid mixes instantaneously and is pumped out at a rate of 90 L/min. Let y(t) denote the quantity of salt in the tank at time t. (a) Find an explicit equation for y(t). Show your work on Crowdmark; state any definitions/techniques/theorems/tests you are using. (b) What is the concentration of salt (in g/L) after 10 minutes? Show your work on Crowdmark; state any definitions/techniques/theorems/tests you are using. Copy your final answer into the box below, rounding to 3 decimal places if rounding is needed. (c) What is the quantity of salt (in g) in the tank as t-∞? Justify your selection with a full sentence and/or mathematical solution on Crowdmark. A) 45000 (B) 10000 (C) 35000 (D) 25000 (E) 126000 (F) 36000 (G) 162000 (H) 90000 Select y
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