A committee of 4 is to be randomly selected from 8 women and 10 men. What is the probability of having 3 men on the committee? 0.4251

Q: > ||X(jw)||, where ||x(s)||1 s)[ds and ||x(s)|| = sup|x(s)|. SER

A: Sol

Q: Given: A= 3 1 B= 1 2 1 C = 2 1 4 6 1 2 4 4 7 7 4 3 3 5 2 6 1 D 1 E = 3 F 1 2 3 v-[ :] u = 3 Evaluate…

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Q: What sum of money must be deposited at the end of every three months into an account paying 3.7%…

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Q: |14 8 |16 7 Find the determinant of

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Q: a bc If det de f ghi -- a b c then det 8d 8e 8f g hi

A: We want to find determinant of given matrix.

Q: 3- 2i 2 + 3i 1-i II. E = P = 5 4 + i -i 1+ i

A: Sol

Q: QUESTION 3 Given the following differential equation y -by +2y = 0 if the general solution for the…

A: Given differential equation is ,  y" - by' + 2y  =  0 And   y = ( A + Bx ) e 2x  is general…

Q: 2. Using the given pairs of x and f(x), construct a an appropriate table (difference or divided…

A: We have to find f(5) and the equation of the polynomial that will fit the given points.

Q: EXAMPLE NO. 2 Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Converting quadratic form to symmetric matrix form. Here, we have 2 variables in a quadratic…

Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

A: We can solve this using formula

Q: Solve the equation: x^7 + 10x^6 + 27x^5 – 57x^3 – 30x^2 + 29x + 20.

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Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: In a particular Insurance Life Office, employees Smith, Jones, Williamson and Brown have 'A' levels,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Suppose a, > 0, bn > 1 and lim an = 0, lim bn = 1. n-00 n-00 Define An = {x : an < x < bn}. Find lim…

A: We have to find limn→∞supAn and limn→∞infAn

Q: 1. y" + y = 0

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Q: Consider the following model: price = Bo + Bilotsize + B2sqr ft + u Assume that the error variance…

A: The given model is  price =β0+β1 lotsize +β2 sqrft +u. The given error variance is…

Q: Draw a graph on six vertices with degree sequence (3, 3, 5, 5, 5, 5); does there exist a simple…

A: In graph theory, the degree  of a vertex of a graph is the number of edges that are incident to the…

Q: Find the eigenvalues A1 < Ag and associated orthonormal eigenvectors of the symmetric matrix -5 -5 3…

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Q: terences of BOTH as be givern by log(Ci) +¿ 1og(C2). that (5, 10) and wB ring price and the…

A: Sol

Q: he statement "All of us are OK and all of them are losers." is an example of* O negation )…

A: Compound logical statment

Q: Q4) Find for the following functions (choose five only): dx 1. y = 2 +etr-1 2. y = sec x tan x 3. y…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: + y = x?e3x. dx2 dx d?y 2 dx2 2. Solve by method of variation of parameter dy = ex sin x. dx 3.…

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Q: of both individuals be given by log(ci)+log(c2). Suppose that the ors are wA = (5, 10) and wB = (10,…

A: Sol

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: We have to find the maximum and minimum value of the given function.

Q: 1. Solve by D operator method d?y – 2y+y = x²e 3x dy dx2 dx 2. Solve hy method

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Q: [13 14 8 - 1 4 13 9 I Example 4.4. Using the partition method, find the inverse of A = 7 3 2 6. 5 16…

A: Given that A = 1314648-11396732951611 . We have to find the inverse of A by using the partition…

Q: Consider the polar curves C1 : r = 3 sin 20 and C2 :r = 3 cos 0, and let R be the shaded region as…

A: Given polar curves arer=3sin2θr=3cosθR is the shaded region as shown.

Q: b) b-x VB- b-x Hint: Give vb and x a name and re-written the expression. Also considered using the…

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Q: Example 6.10. Assuming that the following values of y belong to a polynomial of degree 4, compute…

A: Given values of y are x 0 1 2 3 4 5 6 7 y 1 -1 1 -1 1                Let the value for x=5,…

Q: Find T(t) and N(t) at the given point. r(t) = (t2 – 3)i + tj; t = 3 T(3) N(3)

A: Given r(t) = (t2-3)i + tj ; t = 3

Q: if x = 2 Let f(x) = eas ; for the if x + 2 function to be continuous at x = 2 the value of a is

A: Given function is f(x) = x2,ifx=2eax,ifx≠2

Q: sinxcost ; 00 = 0, u(pi/2,t) = 0 ) =0, ut(x,0) = 0 %3D 00 = u. - sin x cos t, : u(0, t) = 0, E u(x,…

A: Sol

Q: Suppose that demographic studies show that each year about 7% of a city's population moves to the…

A: Given, According to demographic studies, each year about 7% of city`s population moves to the…

Q: Torontiating torm-by-torm givos 02 sin 0<r< L. n odd o weaker series convergence is casily n. and it…

A: Sol

Q: QUESTION 1 Find the particular solution for the differential equation dy x2-3 = 2(y + dx dy dx'…

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Q: 8. For question, 7, what is the minimum and maximum for the union of the intervals A_n's? min S…

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Q: How many terms of the series (-1)" 1 + 2" n=1 are needed to compute the sum of the series with an…

A: To find the number of term such that the error is less than 0.001 .

Q: Describe the graph of the equation. r = 2 cos t i – 9 sin tj + k O An ellipse in the plane z = 1,…

A: We need to describe the graph of the parametric equation: r=2cos t i-9sin t j +k.

Q: IExample 6.9. One entry in the following table is incorrect and y is a cubic polynomial in x. Use…

A: The problem can be solved by making difference table.

Q: 5. Help Aunt May in answering some problems about independent events. Consider generating a random…

A: Solution:      Number of possible 3-bit strings = 23 = 8.      They are…

Q: he curve y = X fc (vî (yi

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Q: Consider the following Statement : : For the ODE: 2x²y" – xy' +(1–x²)y = 0; roots of indicial…

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Q: Use the Solovay-Strassen test to show that 7739 is composite.

A: Given Number is 7739 To show that 7739 is composite using the Solovay-Strassen test. Euler…

Q: 1. Solve by D operator method d?y - 2y+y x2e 3x dx2 dx Solve bu

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Q: EXAMPLE NO. 1 Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: Converting quadratic form to symmetric matrix form.. Here, we have 2 variables in quadratic equation…

Q: B. Solve the following problems using differen linear approximations. Show complete soluti 2.…

A: Sol

Q: 6. Which is is true for any set S of real numbers? * S has a least upper bound. S has a greatest…

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Q: what is the symmetric difference ? And give examples

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Q: Bruijn graph and identify an Euler path hence -mbling the original sequence from which they e…

A: Sol

Q: m An = {-: m e N}, ne N, n where N are non-negative integers. What is lim inf A, and lim sup A,?…

A: To find the lim sup and lim inf of the given sequence An .