Find all solutions of the system of congrucences солу da st 8x + 5y = 1 (mod 13) 4x + 3y = 3 (mod 13). A

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A: The given function is: a) To find: The first 3 terms in the Maclurian series.Concept:The general…

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Q: Let B and C be bases for R2, where C= [8] -[7] [8] · Let B = u₁, U₂. Find the following vectors. x =…

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Q: Find the general solution of the differential equation x + 2y - 5 2x + 4y + 7' where 2x + 4y + 70.…

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Q: Consider the function f(x) = . - sin(x) + 1. 2 (a) Approximate the relative extrema of f. (Enter…

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Q: Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the…

A: The given LPP,Maximize Subject to the constraints,The aim is to solve the LPP using the simplex…

Q: The trace of a square n x n matrix A = (aij) is the sum a₁1 + a22+...+ann of the entries on its main…

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Q: nd the area of th surra 2 The portion of the cone z = 6√√√x² + v² inside the cylinder x² + 2

A: In this question, we will find the area of the surface.

Q: Solve Completely to the final form of the 200 Solution as a Fourier Series the heat equation…

A: Given Heat equation is the following :Let, so we get By substitution ,we get

Q: 1. Please work out the solution for x(t). (1) Find the homogeneous solution: x(t) + 4x(t) + 3x(t) =…

A: Solution:

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Q: Use Stokes' Theorem (in reverse) to evaluate (curl 'S F).nds where F = 7yzi + 2xj +3yzek, S is the…

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Q: by using a double number line.explain how to solve the following problems .  a. John was paid $250…

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Q: 21 32 13 Х4. 4x₁ -3х2 +3x3 +х2 +3x3 3x1 -2х2 -2x1 +6x3 +2x2 +6x3 +4х4 0 +2х4 4 4 8 +6х4 +4х4 Samml…

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Q: or the following simplex tableau (a) Compute the next pivot element. (b) Determine the next tableau.…

A: We have to find the pivot element and particular solution.

Q: 1 121 In Exercises 18-21, interpret the subset W of R³ geo- metrically by sketching a graph for W 2…

A: The given subset W of R3 is written as follows..We need to interpret the subset .

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Q: 1. Consider the following optimization problem: minimize 2x1 + x2 + x3 subject to x2-x3 = 0 5x1 +…

A: (a) No, the given problem is not a linear programming problem. The objective function 2x1​+x22​+x3​…

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Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

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Q: Write a combinatorial proof that, for n ≥ 4, S(n, n − 2) = (3) + ½ (²1) ("z²).

A: We need to prove that, for , .We know that  represents the partition of a natural number  into…

Q: Find the particular solution corresponding to the tableau. x=y=₁z=₁u=₁v== X y z 1 -4 0 1 0 7 0 1 0 u…

A: from given table we have seen that basic variable in the current table are So from table we have…

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Q: Evaluate ff (6x² +407) JA, where D is (0,3), (191) and (5₂3) the triangle with vertices

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A: Given that a player gets a free meal worth $25 for spending between 1 and 2 hours.He gets a meal and…

Q: Banach space. Show that X E and only if X' is reflexive.

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Q: Evaluate the triple integral [/S where E is the solid: 0 ≤ z ≤ 2,0 ≤ y ≤z xyz dV 0 ≤ x ≤y.

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Q: B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat…

A: Given equation:∂u∂t=4∂2u∂x2,    0≤x≤2, t≥0Given BC: u(0,t)=u(2,t)=2Given IC: u(x,0)=1Let…

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A: Here we have to sketch the following functions for the interval :

Q: Let u(t) and v(t) be linearly independent solutions of the second order DE a(t)y" + b(t)y' + c(t)y =…

A: If and  are two independent solutions of a second order Ordinary differential equation, then the…

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Q: Cherry Short cakes are made and sold. Given the functions: h(r)=9|1-r+x and w(x)=13-x² Determine the…

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Q: Amelio Rodriguez Computing wants to establish an assembly line for producing a new product, the…

A: Given Information:Task and Task time are provided as:TaskTime (sec)Immediate…

Q: Find a polynomial that interpolates the following data points: (-1, −10), (1, 6), (2, 5).

A:

Q: Consider the discrete-time dynamical system xt+1 = 5xt(1-xt). If xt = 4/5, xt +1 = _____ Is x1 = 4/5…

A: Let xt+1=f(xt) be a difference equation , then x=x* is said to be equilibrium if xt+1∗=xt∗⟹…

Q: Find the values of x and y for the following figure. A 30° 12 MathBits.com 60° 45⁰ X B C 60% y

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Q: 16. Find the polar moment of inertia 1. (moment of inertia about the origin) of: (a) triangle…

A: The polar moment of inertia is given by (a) We are given a triangle bounded by…

Q: 6 ¹0-0 = 1 3. The 3 x 3 matrices in reduced row-echelon form C. The 3 × 3 matrices with trace 0 (the…

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Q: Find the moment of inertia of the given flat area with respect to the indicated line (a) y = 4 x³, x…

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Q: 3. The Uriah Butler Highway connects south Trinidad and Tobago to the north while and the Churchill…

A: Uriah Butler Highway has a slope of Uriah Butler Highway and Churchill Roosevelt highway is…

Q: 2) Consider a warehouse that has 4,500 available storage locations. The standard time and resources…

A: Given information:Total available storage locations: 4500.Average storage space utilization: 85%.A…

Q: For an orthonormal sequence {u} in a Hilbert space H, prove the equivalence of the conditions (i)…

A: Given:  is orthonormal sequence in a Hilbert space .(i)  for all  implies .(ii)  for all .To prove:…

Q: Select Answer Select Answer 2. -5x 3 x 31 x -3x -2x + + - - 1 ystem has no solution, an infinite…

A: As per our company guidelines we are supposed to answer only the first question. Kindly re-post the…

Q: Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and…

A: According to the guidelines,we can solve only first three subparts.

Q: Let V = R. For u, v EV and a ER define vector addition by uv := u + v - 3 and scalar multiplication…

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Q: Use either (3) or (8) in Section 8.6 to find upper bounds for the error in approximating Error bound…

A: We find integration by trapezoidal rule and Simpsons 1/3 Rd rule and then find error bound.

Q: 25.10 (a) Show Σ1n converges for x = [0, 1). xn 1+xn (b) Show that the series converges uniformly on…

A: 25.10 (a) we  have…

Q: A refinery operating in Nebraska uses four crude oils: Oklahoma, Texas, Wyoming, and Pennsylvania.…

A: Given Information:The 4 different types of crude oils are in refining process.Each type has 4…