Exercise 4. Write the following functions in increasing order of growth (so f₁(n) = o(f₂(n)), etc.):22logn, n log(n³), n³/2, log(n) × log(n).f₁ =f2 =f3 =f4=

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Answered: Exercise 4. Write the following…

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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The order of the growth rate of the following pair of functions are equals? 5 log2(n + 100) b. n2 a.
Let y represent house price measured in thousand dollars. Let x, and x, represent the logarithm of land size measured in square meters and number of bedrooms, respectively. Suppose the estimated model is In (9) = 10 + 2X,+ 0.1X. Which of the following statements is the most accurate? O a. The house price is predicted to increase by 10 per cent for every 1 per cent increase of number of bedrooms holding land size constant. O b. The house price is predicted to be 10 thousand dollars when land size is O and number of bedrooms is O. O c. The house price is predicted to increase by 2 thousand dollars for every 1 per cent increase of land size holding number of bedrooms constant. O d. The house price is predicted to increase by 2 per cent for every 1 per cent increase of land size holding number of bedrooms constant. O e. None of the answers provided.
IQuestion 3] A. Compute the value of x in the following i. 4* = 32 ii. 25B*+1) = 625 B. Express the following as a single logarithm i. % log 25 – 2log 3 +2log 6 ii. log (x+1)–log (x²-1) C. A culture of bacteria starts with 500 bacteria and increases exponentially. The relationship between the number of bacteria present B present in the culture and the time elapsed, d in days is modelled by the following equation B = 50 10 In how many days will the culture reach 1 600000 bacteria?
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ollowing for x: log 5*=-6 log, (x+ 3x +2) = 1

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Exercise 4. Write the following functions in increasing order of growth (so f₁(n) = o(f₂(n)), etc.): 22log n, n log(n³), n³/2, log(n) x log(n). f₁ = f₂ = f3 = f4=