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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Question
Question number 68 please
![f(x) if, for all x> 1,
67. Find limx>«
5Vx
<f(x) <
Vx - 1
10e* - 21
2e*
68. (a) A tank contains 5000 L of pure water. Brine that con-
tains 30 g of salt per liter of water is pumped into the
tank at a rate of 25 L/min. Show that the concentra-
tion of salt after t minutes (in grams per liter) is
30t
C(t) =
200 + t
(b) What happens to the concentration as t→ 0?
69. In Chapter 9 we will be able to show, under certain
assumptions, that the velocity v(t) of a falling raindrop at
time t is
= v*(1 - e-1/)
v(1)
where g is the acceleration due to gravity and v* is the
terminal velocity of the raindrop.
totes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc661e0d-ed51-4ca8-989d-5f44ecd3ae36%2F574e988b-ffe2-4645-9f0c-ba04978c9038%2Fhlkcmec.jpeg&w=3840&q=75)
Transcribed Image Text:f(x) if, for all x> 1,
67. Find limx>«
5Vx
<f(x) <
Vx - 1
10e* - 21
2e*
68. (a) A tank contains 5000 L of pure water. Brine that con-
tains 30 g of salt per liter of water is pumped into the
tank at a rate of 25 L/min. Show that the concentra-
tion of salt after t minutes (in grams per liter) is
30t
C(t) =
200 + t
(b) What happens to the concentration as t→ 0?
69. In Chapter 9 we will be able to show, under certain
assumptions, that the velocity v(t) of a falling raindrop at
time t is
= v*(1 - e-1/)
v(1)
where g is the acceleration due to gravity and v* is the
terminal velocity of the raindrop.
totes
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