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3. (a) Use Tables, or otherwise, to evaluate Simplify your answer. (b) Use a u-substitution to evaluate log 3 e cos 5x dr.

3. (a) Use Tables, or otherwise, to evaluate Simplify your answer. (b) Use a u-substitution to evaluate log 3 e cos 5x dr.

Calculus: Early Transcendentals
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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3. (a) Use Tables, or otherwise, to evaluate log 3 Simplify your answer. (b) Use a u-substitution to evaluate S e cos 5x dr. xel-2² (c) Determine the value of a > 0 such that d.A dt with initial condition A(0) = 0. dx. 1₁√²²-2²²=3² dz 4x² (d) A tank initially contains 100 litres of pure water. Salt water, containing a constant k kilograms of salt per litre, is pumped in at a rate of 3 litres per minute. A salty mixture flows out at the same rate of 3 litres per minute. The amount A of salt (in kilograms) in the tank at time t minutes satisfies the first order differential equation ㅠ -(100) 4 A = 3k (i) Determine the amount of salt in the tank at any time t. (ii) Find the amount of salt in the tank in the limit as t→∞o.
Transcribed Image Text:3. (a) Use Tables, or otherwise, to evaluate log 3 Simplify your answer. (b) Use a u-substitution to evaluate S e cos 5x dr. xel-2² (c) Determine the value of a > 0 such that d.A dt with initial condition A(0) = 0. dx. 1₁√²²-2²²=3² dz 4x² (d) A tank initially contains 100 litres of pure water. Salt water, containing a constant k kilograms of salt per litre, is pumped in at a rate of 3 litres per minute. A salty mixture flows out at the same rate of 3 litres per minute. The amount A of salt (in kilograms) in the tank at time t minutes satisfies the first order differential equation ㅠ -(100) 4 A = 3k (i) Determine the amount of salt in the tank at any time t. (ii) Find the amount of salt in the tank in the limit as t→∞o.
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