In a state OC, there are two parties, Stars and Squares, have their supporters geographically clustered. You have to design the district structure for single-member-district plurality elections. A district must come in a single piece (be contiguous), and it must include between 9 and 11 voters. Given the map below, what is the greatest number of districts that the Squares can win through gerrymandering? 3 2 1 0 . Key: 1714

Q: 1. Consider the sets X = {a, b, c} Y = {a, {b}, {a,c}} (a) Write down a bijection f: X→Y. (b)…

A: Given set  and

Q: where K is a positive constant. If a € {1,2} is Damian's choice and b = {1, 2} is Kira's choice, (so…

A: Given:Damian and Kira trade in antique cars. They typically buy either 1 or 2 cars at any given…

Q: Three invoices for the amounts of $35,200, $28,000, and $40,450 were received on December 17, 2014,…

A: 3/7 means a 3% discount if paid within seven days after the date of invoice. 2/30 means a 2%…

Q: Solve the following equation. Remember to check for extraneous solutions: 3 log(x) - log: (x². 5 +…

A: The given equation .The aim is to find the solution to the given equation.Note: Since you have asked…

Q: 10.7 Let p and q be two prime numbers, and let G be a group of order pq. Show that every proper…

A:

Q: Let X and Y be given as the solutions to the following system of stochastic differential equations.…

A: Given: and  be given as the solutions to the following system of stochastic differential…

Q: (a) Check whether the IVP y' = 49y6/7x6, y(0) = 0. satisfies the hypotheses of the Picard-Lindelöf…

A:

Q: 1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10…

A:

Q: Let o be the surface 4x + 6y + 8z = 5 in the first octant, oriented upwards. Let C be the oriented…

A:

Q: Use separation of variables to find, if possible, product solutions for the given partial…

A:

Q: Consider the periodic function defined within one period by the formula: w(x)=x + 1 -(x + 1) ir -…

A: the given periodic function is ψ(x)=x+12−(x+12)2 if −12≤x≤12.We need to find the Fourier spectrum of…

Q: 13. Given the inequality-6x −4 0} b. {x|x < 0]} 5x+4 -1 c. {x|x = 1|} d. {x|x € WI} 3 what

A:

Q: Q1-12 Assume that vectors the eigenvalues below belong to 3₁ = [-4+2²] A₁ = 2+2i A₂ = 2-2; V₂ find…

A:

Q: The radius of a right circular cone is increasing at a rate of 6 inches per minute, and the height…

A:

Q: A surface is described by the part of the sphere x² + y² + z² = 9 with z 2 √2/2. A given vector…

A: The flux of a vector field F→ through the surface S is defined by ∬SF→⋅n→dsWhere n→ is the outward…

Q: (b) Let m = 1, g = 10, y = 2. Solve the Initial Value Problem mi = mg - yv, v(0) = 2. Calculate limt…

A:

Q: Shown is your author’s chart,beginning January 25, 2015, when he was 25,473 days old. We all have…

A: Consider the graph,To find:If you extend these sinusoidal graphs to the end of the year, is there a…

Q: If the heat equation Uxx = U₁, 0 0, u(0,t) = 0, u(0, π) = 0, t > 0, u(x,0)=, 0<x< ₁ has a solution…

A:

Q: Solve Laplace's equation, . u(0, y) = 0, u(x, 0) = f(x), a²u a²u + = 0,0< x < a, 0 < y < b, (see (1)…

A:

Q: 7 Calculate § (-y³dx + x³dy) where 2 Y ² + y ² = 4 by using Green's theorem C -Z 2 F² = (cosz +…

A: As in Green's theorem we can change line integral into surface integral,i.e.

Q: 1.) Let V be the set of all 2x2 matrices A = [] such that the product abcd = 0,1 as the operation…

A:

Q: Consider a system of two nonlinear first-order ODEs, where x and y are functions of the independent…

A:

Q: The magnetic field B due to a small current loop (which is placed at the origin) is called a…

A:

Q: x²+2x+1 lim x→-1 x+1

A: Introduction: L’Hospital’s rule is a general method of evaluating indeterminate forms such as . To…

Q: Rewrite the expression In(a + b) + 3 ln(a - b) - 3 ln c as a single logarithm In A. Then the…

A: The given expression is . The objective is to rewrite the expression into a single logarithm.

Q: a.) Is V closes under scalar multiplication? Explain

A:

Q: Find the length of the curve y = e + e for -1 ≤ x ≤ 1.

A:

Q: 1.) if c Ou= 0, then either c = 0 oru=0

A:

Q: The Crayola crayon company can make 2400 crayons in 4 minutes. How many crayons can they make in 5…

A: The Crayola crayon company can make crayons in  minutes.The aim is to find the number of cryons can…

Q: Show one-step of the problem. Use Ax = 0.25. d²y dx² - +y order Runge K dy dx soluti y(1) = 0, dy dx…

A: The fourth-order Runge-Kutta method involves calculating several intermediate values to approximate…

Q: The natural frequencies of the following system must be found: x"= W1= W2= 3/4 -16 55 996 ↑X

A:

Q: Find the orthogonal projection y of y = -{-----} = նշ W = Span ŷ Ex: 1.23 2 6 onto the subspace

A:

Q: I have the following example:  "For the function f : A = {a, b, c, d, e} → B = {1, 2,..., 6}…

A:

Q: n Find the closed form of: Σ 4¹ i=1 Prove your closed-form formula via induction.

A: Given: A series .Aim: To find the closed form of given series.

Q: Begin with the paraboloid z=x² + y². for 0≤2536, and slice it with the plane y=0. Let S be the…

A:

Q: Exercise 2.6.7. Let f: M→ N be a smooth map between manifolds. Prove that the tangent map TM →TN:…

A: Manifolds are topological spaces that locally resemble Euclidean spaces.A smooth map between…

Q: Compute the divergence and curl of F = (2xze²,0, e*²), and if possible, find a potential function…

A: Let F=&lt;f,g,h&gt; be a vector field,  then The divergence is defined as div(F)=∂f∂x+∂g∂y+∂h∂z. The…

Q: Given the following nonlinear system of ODES: x' (t)= (x +1) (y - 2) y' (t)= (x - 2)(y + 1) from…

A: For the critical points, we need to solve for x and y when x′ and y′ are both equal to zero.For x′…

Q: Solve the following equation. Remember to check for extraneous solutions: -2 5 3 log3 (x) - log3 3…

A: Note: As per our Guidelines we can solve first question.Please re-post remaining questions.

Q: The half-yearly nominal rate of discount convertible monthly is 3.5%. Calculate the force of…

A: The relationship between the force of interest (i) and the nominal rate of discount (d) is given by…

Q: Exercise 4.4 1.) For each of the following vector spaces give two different spanning sets. a.) R³

A:

Q: -80 20 []} 60 find an orthogonal basis under the Euclidean inner product. Let U₁ = 4 Orthogonal…

A:

Q: 3. There are three players in a public good game. Each player (i=1,2,3) has 100 dollars to…

A: Given that:There are three players in a public good game Each player (()()Each player's payoff…

Q: Find [a³y^da where C'is the arc of the curve a = = 292 C from (0,0) to (9,3)

A: C:  We have to find .

Q: dinical trial was conducted to test the effectiveness of a drug for treating insomnia in older…

A:

Q: The Maclaurin series for the inverse tangent function is (−1)n 2n+1 2n + 1 arctant = n=0 -X = X…

A: Given that the Maclaurin series for the inverse tangent function,The aim is to find the range of…

Q: For the transfer function; 10(s+10) s(s+1)(s+5) G(s)=- Sketch the composite asymptotic Bode diagram.

A: Transfer Function :                          Let's reduce it to time constant form…

Q: A surface is described by the part of the sphere x² + y² + z² = 9 with z 2 √2/2. A given vector…

A:

Q: Answer the given question with a proper explanation and step-by-step solution. Please provide the…

A: From the given data,Cost function:Now differentiate w.r.t xFor critical value of "x" Solve and get,

Q: Evaluate F. dr where F = (0, -3y, 3x), and C' is given by F(t) = (t, sin(t), cos(t)), 0 <t≤ñ ch 201

A: As Per Bartleby Answering Guidelines We Solve Only First One Problem