In a Hardy-Weinberg situation, suppose that 249 out 400 individuals in a population express a recessive phenotype. What percentage of people are heterozygotic? Express your answer as a decimal and round to the nearest thousandth.

Q: Question 3: The sum of the first four terms of a geometric sequence is 20 and the sum of the next…

A: A geometric sequence is a sequence which has the form a,ar,ar^2,.. and the general term is of the…

Q: Given the differential equation y''+2y'+5y=0,  y(0)=−2,  y'(0)=2 Apply the Laplace Transform and…

A: We have to solve the differential equations by Laplace Transformation.

Q: Approximate the roots of the polynomial f(x) = X³ - 7X + 6 using False-position method.

A: We will find Approximate the roots of polynomial f(x) = x3-7x+6 using False-position method. steps…

Q: Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X. %3D

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Q: Find the area of the shaded region. r = V cos 20 r = 10 cos 0 NOTE: Enter the exact answer.

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Q: max2 =2%+31 -51y Sito XitXz tXg =7 メ2-5Y2+X フe メoxe F (usighe Using M-Eechnifue

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Q: Collect like terms and write in descending order 5x4 + 4x2 - 3x4 1. 6x10 2. 6x2 3. Can't be…

A: Given expression: 5x4+4x2-3x4 To determine: Simplify the expression and write like terms in…

Q: Identify and sketch the graph of the following equations in R. (a) r2+2y? + z2 – 8r + 12y - 2z + 35…

A: The given equation for part (a) is x2+2y2+z2-8x+12y-2z+35=0. The given equation for part (b) is…

Q: a) Solve the linear system below using Gauss Elimination and determine whether the solution is…

A: The solution is given as

Q: 9. Find all integers x, 0 < x < n, satisfying each of the fol- lowing congruences mod n. If no such…

A: Q (d),(g) asked and answered.

Q: Which is a solution to the following system of equations? + 3: = 1 2y + 2: = 4 %3D + : = 3

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Q: 53° 81°

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Q: 1. Let a and b be real numbers such that a < b. Apply the Mean Value Theorem to f(x) = In(cosh x) to…

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Q: b) Find the angle (0) between vectors between s = [1, –5, 4] and t = [3,3, 3].

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: The given point is 4,-3,5. The given vectors are 2,6,1 &amp; 1,3,-5. The equation of plane having…

Q: Find the series solution of (1-x2)y’’+2xy’+y=0 using the Frobenius method

A: We have a given differential equation ,  1 - x2y'' + 2xy' + y = 0 Let , y = ∑n=0∞ anxn  be power…

Q: Determine the general equation of the plane containing the points P(1, –4,–5), Q(2,0, 13) andR 3…

A: The given points are P1,-4,-5, Q2,0,13 and R-3,34,6. Position vector is to be find by subtracting…

Q: Suppose that the random variable X has the probability density function c(1 – x²) for - 1s x s1 f(x)…

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Q: What value of t ensures the following system of equations has no solution? 3x + (t2 – 4)y = 2 1 ty

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Q: 5 9. and define p : R² → R² by p(x) = Ax (that is, p = PA). Find Let A -1 -1 all 9-invariant…

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Q: n each part below, give an example of a function which satisfies the given criteria. Justify that…

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Q: 7. Let f be continuous on [a, b]. Suppose that f, Vx e [a, b). Prove that f(x) = 0 for all a x € [a,…

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Q: (b) x" – 2x' + x = 4e'.

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Q: Using the Divergence Theorem, evaluate I= F-dS where S is the sphere of radius 2 centered at the…

A: The solution is given as

Q: . The value of e*dx by using 2-segment Simpson's 1/3 rule most nearly is 0.2 A. 7.8036 B. 7.8423 C.…

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Q: b) Find the angle (0) between vectors between s [1, –5, 4] and t = [3,3, 3]. %3D

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Q: 2. Another key theorem is de Moivre's Theorem which states: (cos 0 + i sin 0)" = cos no + i sin ne.…

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Q: For the following relation ~ on set X, determine whether it is symmetric, transitive or reflexive.…

A: For all x in X, x2 ≠ x2 + 1,hence x ~ x Hence ~ is reflexive.  Now consider the equation          x2…

Q: Bacterial growth is the proliferation of bacterium into two daughter cells, in a process called…

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Q: Prove the following using the mathematical induction Let c and d be integers. For every natural…

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Q: If A and B be 2 x 2 matrices, then (A +B)(A – B) = A² – B². True B False

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Q: Say z1=2+15i and z2 = 3-6i, find z1*z2

A: We have to find z1*z2 where z1=2+15i and z2=3-6i

Q: You want to buy a $155,000 home. You plan to pay 5% as a down payment, and take out a 30 year 6.65%…

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Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

Q: are there Bower Series which oluorge everywherreļ If so, exhíbit one, If not explain why it Cannot…

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Q: Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X.

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Q: Question 3: a. Find the derivative of the function 2x +1(x - dx b. Given that y = 4x' -*, find dy…

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Q: Find the general solution of the following differential equations. 1.   (5x4y + 4x3y3) dx + (3x5…

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Q: Show that The Hermite polynomials can be difined by the integral representation H, (x) = (-i)"2"e**…

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Q: Imagine you are in a city that has a grid of streets with perfectly square blocks and that the only…

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Q: onsider the following matrix: - 4 12 A = 3 12 2 he following vectors are linearly independent…

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Q: Fits a second-order Newton interpolation polynomial to estimate Log(10) with the following data,…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: -2 21 =G B = and C =|-i 1 2 0 4 5 [7 1 Let A 3. Which of the following 4 is the third row of AT B –…

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Q: 65,400 working 38 hours per week. Compute regular hourly pay rate if she

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Q: Evaluate f (z) = Vz + cos² z_from -0.4 to 2 using Simpson's % rule. with eight segments. Round off…

A: Given: f(x)=x+cos2x3 Interval=-0.4 to 2

Q: Prove the following using the mathematical induction Let c and d be integers. For every natural…

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Q: Let c (t) = ei + 9 sin(t)j + t°k and c2 (t) = e-4'i + 2 cos(t)j – 5t°k. Determine the components of…

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 4 b = 2…

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Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

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