(1)For each complexity function in the left column, choose a simpler function from the list onthe right that is in the same O-class. (No proofs required.) The functions in the list on theright can be used more than once.(a) 0.04n + 12vñ + 17,0001(b) 62 log n + n³ + n³ log nn34n3 + 3n2(c)900nlog n(d) п! + n^n³ log n3n(e) 3" + n³n!(f) |sin(n)|n2(n+ 1)²(g)10n2 – 2

Answered: Image /qna-images/answer/36ea529f-857a-40cf-84d2-33ed50a66bd2.jpg

Answered: For each complexity function in the…

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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Suppose that a lake is stocked with N fish of the same age, and that M is the mortality rate of the fish (the fraction of the fish that will die of natural causes during the year), and F is the fishing rate (the fraction that will be caught commercially). Then the number of fish C that will be caught during the year is given by the formula C=FN/ M+F; in this formula, M and F must be entered as decimal values. (a) Suppose that the lake is stocked with 5500 catfish at the beginning of the season and that the fish have a 7% mortality rate. If the catfish are removed at a fishing rate of 25%, what are the appropriate values of the quantities N, M and F in this situation? Use these to determine how many catfish will be caught by fishing from the lake. (b) Treat N and M as parameters with the same values given above. Then complete this table of function values of C in terms of F : (c) If this function C = C(F) were graphed, would it be an increasing or decreasing function? Would it…
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4 1 7. Express 64 × (√√512)* as a power with base 2. A. 215 B. 239 as a single logarithm. B. log 7 8. Write log 5 + log 12 – log 10 A. log 6 C. 224 C. log 50 9. The restriction on the variable in the expression log(xª − 16) – log(x − 2) − log(x² + 4) is: A. x 4 C. x > 2 10. Choose the statement that is NOT true about the graphs of f(x) = log5 (5x) g(x) = log5 (25x) h(x) = log5 (x) A. They all have the same vertical asymptote C. They all curve in the same direction D. 2⁹ D. log 27 D. No restriction B. They all have the same x-intercept D. They all have the same domain
a - c. please show all the steps in finding the coefficient
Using the properties of logarithms, to re-write the following two statements: es a) Expand: In b) Condense: log(x) + log (a² – 16) – log(4) – log(x – 4) For both of these problems, your work must be submitted after you finish the quiz. Show a logical progression using the properties of logarithms to expand and condense. Be sure each answer is simplified as much as possible. You can choose to use the mathematical formatting by clicking the three dots on the left and looking for the "square root of x" option.
Which term in the expansion of 1 3 2x I S8 is a constant?
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