Let a represent the frequency of an allele A at a genetic locus in a diploid population. Thefitness, w, of a population with this frequency of allele A is given by:Wa)=0.2x² + x (1 − x) + 0.4(1 − x)²Write w in the form ax² + bx+c.W = b)Calculate the fitness of a population with allele frequency x = 0.4.W =Give your answer rounded to 2 decimal places.Find the allele frequency, x, of a population with fitness 0.2.X =

a) We must extend and simplify the following expression in order to write the fitness function w in…

Answered: Let a represent the frequency of an…

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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Let Then where a11 = , a31 = , a12 = -1/9 , a32 = 1/9 1 +-679 A = 1 1 A-¹ = , a13 = 0 a11 a12 a13 a21 a22 a23 a31 a32 a33 , a33 = , a21 = , a22 = , a23 =
Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: R³-R², T(e₁) = (1,3), T(e₂) = (2, -11), and T(e3)= (-3,8), where e₁,e₂, e3 are the columns of the 3x3 identity matrix. a. Is the linear transformation one-to-one? A. T is not one-to-one because the standard matrix A has a free variable. B. T is one-to-one because the column vectors are not scalar multiples of each other. O C. T is not one-to-one because the columns of the standard matrix A are linearly independent. O D. T is one-to-one because T(x) = 0 has only the trivial solution. b. Is the linear transformation onto? O A. T is not onto because the standard matrix A contains a row of zeros. O B. T is onto because the standard matrix A does not have a pivot position for every row. O C. T is not onto because the columns of the standard matrix A span R². O D. T is onto because the columns of the standard matrix A span R².
Arrange the functions √n, 1000 log n, n log n, 2n!, 2n, 3", and Multiple Choice √n, 1000 log n, n log n, 2", 3¹, √n, n² 1000 log n, n log n, √n, 2n!, 2n, 3", 1,000,000 n² 1,000,000 n² 1,000,000 2n! n² 1000 log n, √n, n log n, 1,000,000 1000 log n, n log n, 2n!, 2", 3n 2", 3", 2n! n² 1,000,000 in a list so that each function is big-O of the next function.
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Construct the addition table for Zs. Using this table, or otherwise, determine the following x in Zs: (i) x + [3] =[4] (ii) [4]+x= [2]
A constant temperature, pressure-volume thermodynamic process has the following data: Pressure 420 368 333 316 326 312 242 207 (kPa) Volume (m3) 0.5 2 4 6 8 10 11 Estimate the pressure at V = 1.88 m3 using 3 Points Lagrange interpolation polynomial.
с. In(x + 2) + Inx — In(x + 12)
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It is possible to write rk as a linear combination of Chebyshev's polynomials, for example + Suppose that 7x* – 6x³ – 2x² +3x – 1 =aT:(x) i=0 What are the values of a2, and az? O 0, 3/4 O 4, -1/2 O 1/2, 3/4 O 5/2, -3/2

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Let a represent the frequency of an allele A at a genetic locus in a diploid population. The fitness, w, of a population with this frequency of allele A is given by: w = 0.2x² + x (1-x)+0.4(1-x)² a) Write w in the form ax² + bx + c. W