61. Find lim,» f(x) if, for all x > 1, X ∞ 10e* - 21 < f(x) < 2e* Vx - 1 62. (a) A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. Show that the concentration of salt after t minutes (in grams per liter) is 30t C(t) = 200 + t (b) What happens to the concentration as t → 0? 63. In Chapter 9 we will be able to show, under certain assump- tions, that the velocity v(t) of a falling raindrop at time t is

61. Find lim,» f(x) if, for all x > 1, X ∞ 10e* - 21 < f(x) < 2e* Vx - 1 62. (a) A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. Show that the concentration of salt after t minutes (in grams per liter) is 30t C(t) = 200 + t (b) What happens to the concentration as t → 0? 63. In Chapter 9 we will be able to show, under certain assump- tions, that the velocity v(t) of a falling raindrop at time t is

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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