A biologist has placed three strains of bacteria (denoted I, II and III) in a test tube, where they will feedon three different food sources (A, B and C). Each day 700 units of A, 400 units of B and 500 units of Care placed in the test tube. Each bacteria consumes a certain number of units of each food per day, asshown in the table below(a)(b)BacteriaStrain I05BacteriaStrain II11BacteriaStrain II20Food AFood BFood CForm a system of linear equations based on the above problem.Hence, determine the number of bacteria of each strain that can coexist in the test tube andconsume all of the food by using Gauss-Seidel iteration method.

Given that, A biologist has placed three strains of bacteria (denoted I, II and III) in a test tube,…

Answered: A biologist has placed three strains of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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part 3 4
A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year. The population now consists of 112 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 ≤ age ≤ 1 112 X 84 1 ≤age ≤ 2 2 ≤ age ≤ 3 28 In 2 years? 0 ≤ age ≤ 1 1 ≤ age ≤ 2 2 ≤ age ≤ 3 84 63 21 xx> X X
A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year. The population now consists of 192 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 s age s 1 2112 1 s age < 2 48 2 s age < 3 144 In 2 years? 0 s age s 1 2112 1s age s 2 48 2 s age < 3 144
A population has the following characteristics. (a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year. The population now consists of 128 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 ≤ age ≤ 1 1 ≤ age ≤ 2 2 ≤ age ≤ 3 In 2 years? 0 ≤ age ≤ 1 1 ≤ age ≤ 2 2 ≤ age ≤ 3
An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit of zinc, and 2 units of glass. Each resistor requires 3, 2, and 1 units of the three materials, and each computer chip requires 2, 1, and 2 units of these materials, respectively. How many of each product can be made with the following amounts of materials? Complete parts (a) through (c) below. (a) Let x represent the number of transistors that can be made, y the number of resistors, and z the number of computer chips. Write a system of three linear equations when the amounts of available materials are 775 units of copper, 385 units of zinc, and 470 units of glass. Choose the correct answer below. A. 3x + 3y + 2z = 385 x+2y+z=775 2x+y + 2z = 470 O C. 3x + 3y + 2z = 775 x + 2y + z = 385 2x+y + 2z = 470 The company can make 6 transistors, 2 resistors, and 3 computer chips. (b) 770 units of copper, 380 units of zinc, and 490 units of glass The company can make…
Researchers who are trying a new shampoo formula plan to compare the condition of hair for people who use the new formula with the condition of hair for people who use the existing formula. Twelve volunteers have tried the shampoo and so will serve as our population. Information on those volunteers (numbered 1 to 12) is presented in the table before. Number 1 2 3 4 6. 7 8. 9 10 11 12 Gender Male Female Male Female Female Male Male Female Male Female Male Female Age 21 20 47 60 62 61 58 44 44 24 23 46 a) Researchers want to conduct an experiment to compare the two formulas. They believe response is affected by age but not gender. Design and carry out a stratified sample of this population. There should be 6 people in the sample.
A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 3 the first year, 6 the second year, and 3 the third year. The population now consists of 176 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 ≤ age ≤ 1 1 ≤ age ≤ 2 2 ≤ age ≤ 3 In 2 years? 0 ≤ age ≤ 1 1's age ≤ 2 2 ≤ age ≤ 3 Need Help? Read It

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