8) A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table. State A B C D E F G 1283 2374 2725 2155 1592 2511 2017 Population Find the apposti

Q: Four students achieve the following grades on their midterm which was out of 20 marks: 4, 4, 4, 20.…

A: The mode is 4 as its is the highest occurring frequency. So it will reflect the accuracy or more…

Q: (9) Given n | colors and a many ways so that Color ? graph G as 1 below. How color to verticles have…

A: The given graph has a total of 5 vertices. The aim is to determine the number of ways to color the…

Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: Given is a revenue function as Rx=7x and the cost as Cx=160-2x+x2, where x denotes the number of…

Q: Two cars are moving towards an intersection. One car is 170 meters north of the intersection and…

A: Introduction: The formula of the linearization of the function y=f(x) at the point x=a is given by,…

Q: The system of linear equations: (attatched) Select One: 1. is a 2×32×3 overdetermined inconsistent…

A:

Q: sinx=-3/5, pi<x<3pi/2, and cosB=5/13, 3pi/2<B<2pi, find cos(x-B)

A:

Q: he following function: =: Find fxy. f(x, y) = 5x4y6x4y5 - 21

A:

Q: C. Find the radii of convergence for your two series. For 1 In(1+x²), the radius of convergence is…

A:

Q: What is the equation of the tangent plane to the surface y = eº cos (z) at the point (1, e, 0)?

A:

Q: For the Cop & Robber problem with 4 east/west streets and 5 north/south avenues, let the safehouses…

A: As per the question we are given a game matrix A for the Cop &amp; Robber problem with 4 east/west…

Q: What is vector field and potential function? Sketch the gradient field of p(x, y) = x² + y² – k².

A: If z=f(x,y), then the variables x, y are called the input of the function, and z is called the…

Q: Which of the following functions is a potential function for the conservative vector field F (x, y,…

A:

Q: 1. Find the coefficient of 2³6 in the expansion of 6 (1 +5x²5 + 12x50⁰) (x+x² + x³ + x¹ + x³ +rº +…

A:

Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d dx I 12 t² dt =

A:

Q: fxx = || f(x, y) = 5x4y6x4y5 - 21

A: For the given function f(x,y)=5x4y6-x4y5-21      has  fxx=12x2y5(5y-1)

Q: Solve the exact equation The solutions are of the form F(x, y) = c, where F(x, y) (x²eª² + (2x² + 3)…

A: Introduction: The exact differential equation is a form of first order ordinary differential…

Q: s - 1 cos³ x - dx =

A:

Q: Discuss the analyticity of  f(z) = Re(z 3)   Find whether the given function is analytic or not.…

A: A complex valued complex variable function is analytics at z0 if it is differentiable every point in…

Q: {n³ sin ( 1 )} 3 n3 [Select] [Select]

A: Convergence of the series

Q: √3 √√3-1² - TV I = -√√3. 2 4-1²-y² 2y dz dy dr

A:

Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t) = 12 - 6t, where…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 3. Use Stokes' theorem to evaluate the integral F. dr where C is the curve given by the intersection…

A:

Q: Which of the following sequence is divergent? 32n² n² + 1 sinh n sin n ° {2 (+)} {-3-} None of the…

A:

Q: . Matrix A has the eigenvalue λ = -1. Find the corresponding eigenvector K. A = /2 0 0 045 4 3. 0

A:

Q: Use the Bisection method to approximate the root of the function f(x) = x³ - 7x² + 14x-6, [0,1] and…

A: We need to determine the root of f(x)=x3-7x2+14x-6 in the domain: 0, 1 using the Bisection method…

Q: 4. a) Prove that I A i) V=I- I+A 1+A ii) fx+nh = Σx=0 (1) 4k fx. =

A:

Q: Obtain a family of solutions. 1. (x-y)(4x+y) dx + x(5x-y) dy =0 Ans: x(y+x)² = c(y-2x) Show complete…

A:

Q: Let G be the solid in the first octant bounded by the planes x = y, y = z, z = 0 and x = 1. Set up…

A:

Q: ¹ is not linearly homeomorphic to P if 1 < p ≤ 0.

A:

Q: Set up an iterated triple integral equal to √3 1 = SV²³3 So 3-x² x² + y² 3 2-√4-x²-y² using: a.…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: A curve C is given parametrically by x = cos(t) and y = cos(2t), where -≤t≤ Find and equation in x…

A:

Q: For the system of two equations: 2x + y = 1 -2x - y = 0 Find a solution using the projective plane…

A:

Q: function. Write f(x) = cos(asin-'(x)}) as a polynomial function, then graph the

A:

Q: 6. Consider the expansion of (2x²+1/x)¹2. a) Find a simplified expression for the general term (t+1=…

A:

Q: (a) Determine Aut(Z2 © Z₂).

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: For all x € R, it is known that 1. Find the value of ƒ(2022) (0). +∞ 2. Find the exact value of +∞…

A:

Q: Which of the following arguments is VALID? Burgers are expensive and the soup is hot. Therefore,…

A:

Q: Example 2.5.14 Find the radius of convergence for the series f(x)=(-1)"+1) -Σ(-1²

A: Introduction: In power series representation, the radius of convergence is very significant. The…

Q: 8. A :) Consider the following linear system of differential equations 2 -8 Find the general…

A:

Q: Find the 4 by 4 transformation matrix for the figure below form the dotted line position to the…

A:

Q: Question 16 > Approximate the area under the curve y = with 4 subdivisions. x³ from x = 2 to 4 using…

A:

Q: Find the Fourier series for the following functions: f(t)= |sin t], -1 < t < n and The function is…

A: Given Data: Fourier series for the following functions. ft=sin t , -π&lt;t&lt;πand the function is…

Q: Σn=1(−1)n+1

A:

Q: Let G be a group of order n. For what value of n is the group G NOT cyclic?

A:

Q: which represented quadrilateral will be classifeied as strickly a kite?

A: A quadrilateral considered as a kite if it is symmetric about its main diagonal, the two diagonals…

Q: Calculate the geodesic curve of the surface x^2 +y^2 -z=0

A:

Q: calculate the volume of the solid bounded by the paraboloid z=x2+y2 and the elliptical paraboloid…

A:

Q: Let A = {1, 2, 3} and let ρ be a relation on P (A) × Z that maps a set to its cardinality, e.g. ({1,…

A:

Q: -20 10 -10- y=f'(x) 10 20

A: y=f'(x)

Q: A smooth curve C' is defined by some vector function R(t) with R = (π, 0, -2) and R¹(t) = (2, √5 csc…

A: Disclaimer: Since, you have requested for the answer of part 3, only part 3 has been answered.…