16. Sketch EFGH with EF kind of 1 CUL - Tongest side 20. 13, EG = 24, and FH 10. What special parallelogram is EFGH? Explain.

Q: Consider the initial value problem (1 + x + 2x²)y″ + (1 + 7x)y' + 2y = 0, x>0, y(0) = −1, y'(0) : =…

A: Given DE is  (1+x+2x2)y"+(1+7x)y'+2y=0 ......(1) y(0)=-1,y'(0)=-2

Q: Consider function , (x)=r', which is used to model nonlinear function of hender a basis. the input…

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Q: Determine the zeros and their orders for the given function. (Order the zeros from smallest to…

A: f(z) = z4 - 256 For zeros, f(z) = 0 That is z4 - 256 = 0

Q: Given that equation 1 attached below is true for all x ∈ R, do the following: a) Find the…

A: Maclaurin series is taylor series about the point zero .It is used to approximate functions by nth…

Q: +∞0 (-1)" n=0 (2n + 1)! ^ x²n+1 , XER a. Find the Maclaurin series for x sin (x²) b. Approximate the…

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Q: 2. Let (G,) be a group of order n, that is, |G|=n. Suppose that a, b E G are given. Find how many…

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Q: Problem 8. Let B = {b₁, b2, b3} and C= {C₁, C2, C3} be two bases for R³, and Γ1 Ο 3 1 0 2 3 1 be the…

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Q: Determine the order of the poles for the given function. f(z) = Pole z = Order

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Q: Find the least squares approximation g(x) = a + a₁x + a₂x² of the function f, and use a graphing…

A: Consider the given function, fx=7x3, 0≤x≤1 Here we need to find the least square approximation…

Q: Expand the given function in a Laurent series valid for the indicated annular domain. (Give all…

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Q: Expand the given function in a Taylor series centered at the indicated point. f(z) = ez, zo = 51 Σ(Γ…

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Q: Use the Condorcet method to determine the winner of the election. Four students are running for…

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Q: 2) Let V₁, V2, W be vector spaces over F. Show that the set Bil(V₁ x V₂, W) of bilinear maps is a…

A: Please check step 2 and 3 for solution.! We will verify axioms of vector space.

Q: 8. (Fourier transformation and Dirac delta-function) Use Fourier transform to solve Poisson's…

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Q: Use the Banzhaf power index to determine the power index for each player. Consider the voting system…

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Q: Prove if it is a group or not. 1. G = {x ER | 0<x< 1},x*y= xy 1-x-y+2xy 2. G={TERIO<r<1} r * U = U

A: Now we discuss the four properties needed to prove it is a group.  Closure:  since…

Q: Expand the given function in a Maclaurin series. 1 (1 + 9z)² k = 1 f(z) = eBook…

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Q: a. Show that the Bessel equation of order one-half 1 x²y" + xy' + (x² - - can be reduced to the…

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Q: An equation of the form t²y" + aty' + By = 0, t > 0, where a and 3 are real constants, is called an…

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Q: Find the following Wronskian: W(2, 5t, -e-2¹, te-2¹) O-160e-4t 04 00 O-160e4 O 160et O-4 O 160e-4t

A: We want to find the given Wronskian

Q: Find the particular solutions satisfying the given conditions: dy a) y = 2 when x = 0. dx = 1 + cos…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Expand the given function in a Maclaurin series. 1 f(z) = 6 - 2z 8 k = 0 Give the radius of…

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Q: For (a), how did cot y become tan y?

A: a). given  dydx=cotx cotydy= (cotx coty)dx1cotydy=cotx dx integrating on both sides we get…

Q: Consider the weighted voting system (16: 18, 5, 3, 3, 1). Are there any players that are dictators,…

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Q: Let be the function f(x)= (4-x^2)(x^2-2x+2)in the Cartesian plane below. Compute the average rate of…

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Q: A train is required to run between two stations 1.5 km apart at a schedule speed of 36 km/h. The…

A: Given information Distance  between two stations D= 1.5 km Schedule speed  of train Vs = 36 km/h…

Q: Find the F.T. of the fall wing Signals (functions): F(t)=1+cos(6nt+™)

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Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

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Q: Expand the complex function as Laurent series or a Laurent expansion f(z) = 1 (z-1)(z-2) In a…

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Q: in vector space R4, consider the internal product defined by (u,v) = ₁v₁ + u₂vq…

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Q: You have a data matrix X = Rnxd where each row corresponds to a student and each column corresponds…

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Q: Find the solution of the given initial value problem. 5y" + 185y' 1060y = 0; y(0) = 12, y'(0) = 42,…

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Q: Find the critical numbers of the function f(x) = 12x5 - 75x4 - 100x³ - 5 and classify them. At x =…

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Q: 100 8. The nth partial sum of the series = 1 an is given by Sn Find the 5th term using the sum.…

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Q: Find the solution of the given initial value problem: g(t) y" + y sec(t), y(0) — 9, y'(0) 3,…

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Q: Determine whether or not the polynomial 2x³ +3x²-7x-5 is an irreducible polynomial in Z₁₁ [x]. If…

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Q: What value(s) of 6 are an appropriate choice when proving the following limit? lim (x² + 7x) = x--1…

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Q: 1. You find an online savings account paying 2% interest per annum compounded monthly. In the…

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Q: (a) (b) (c) (d) Determine whether the given matrix is elementary. 10 5 1 -5 1 [1] 1 10 001 0 00 2002…

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Q: Find the general solution of the differential equation y(4) - 4y" = t² + et.

A: To find the general solution of the differential equation  y(4)-4y''=t2+et

Q: Consider the weighted voting system [9: 6, 5, 2] and the Shapely-Shubik Power distribution. Listed…

A: Consider the weighted voting system [9: 6, 5, 2] and the Shapely-Shubik Power distribution. Listed…

Q: Consider the initial value problem (1 + x + 2x²)y" + (1 + 7x)y' + 2y =0, x>0, y(0) -1, y'(0) = -2.…

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Q: 1. Consider the weighted voting system [62: 10, 10, 10, 10, 8, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2]. Find…

A: Given that The weighted voting system  [62 : 10, 10, 10, 10, 8, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2]

Q: Given the system of linear equation below, determine the value of a, b, c, and d using GAUSSIAN…

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Q: a. Find the Maclaurin series for x sin (x²) b. Approximate the value of 0.1 sin(0.01) using the 7th…

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Q: Let S be the surface defined by the vector function R(u, v) = (v +4, 4u - v, uv²). Set up an…

A: Given, The surface S defined by the vector function R→(u, v) = v+4,4u-v,uv2 We have to set up an…

Q: Determine whether the series Σ n=0 3 √23 O A. The series diverges because lim n→∞ n Select the…

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Q: Ametric space (x,d) is complete if and only ifx has the cantor intersection property

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Q: 2.8 Find the particular solutions of a) y - x- = 1 + x² dy 2 dy = dx b) (1 + x²)2 dy dx dy dx dy c)…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.