Graph the feasible region for the given system of inequalities. x + 2y ≤ 8 2x + y ≤ 8 x ≥ 0 y 20 ... Use the graphing tool on the right to graph the system of inequalities. Click to enlarge graph 10 -8 -4 Ay 10- 8- 10 10

Q: Paula borrowed $5,000 at a rate of 8.25%, composed annually. How long will it take to have to repay…

A: For the formula: M=C1+in: C is the initial amount. M is the final amount. n is the time period in…

Q: g(t) = -tan² (2+) +sin (3+¹+8+³) [[// (++1)]] cot " (cosh (3+1)), ift 71 if t <0 ifo≤t≤1

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Q: pound semiannually  in what

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Q: To find the volume of a sphere of radius R, the cross sections are Therefore If the sphere is…

A: To find the volume of the sphere of radius R using calculus method (Integral calculus).

Q: List all the polynomials of degree 2 in Z2[x]. Which of these areequal as functions from Z2 to Z2?

A: We know that a polynomial of degree 2 has the representation fx=ax2+bx+c, where a, b and c are…

Q: Part 1 ...... Consider the following LP. Max Z = x₁ - 2x2 subject to: X1 + 2x₂ = 3 -2x1 + 5x2 = 0

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Q: How to prove the following: if A ⊂ image f then f(f -1(A)) = A.

A: The details are given in step 2.

Q: 3. Consider the canonical basis {₁,2,3} of R³ and let F = {f₁, f2, fs} be defined by =(1,0,-1), 72…

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Q: How can we determine the two fractions kissing 7/11 that have a denominator smaller than 11

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Q: Poll 1: What is the domain of D1 A. (0, 1) B. [0, 1] C. R Poll 2: What is the range of D1 A. [0,…

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Q: If the rings R and S are isomorphic, show that R[x] and S[x] areisomorphic.

A: We have given that rings R and S are isomorphic. Let us assume that, ϕ : R→S be ring isomorphism.…

Q: Solve for Interval of Convergence and Radius of Convergence: +00 n=1 (x - 1)" 3n Check convergence…

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Q: Employ fixed point iteration to locate the root of f(x) = sin √x-x. Use an initial guess of xo = 0.5…

A: The fixed point iteration method uses the formula: xn+1=ϕ(xn) and to approximate the root of the…

Q: 5-18 Consider the linear program max 4y1 + 5y2 s.t. -y1 + y2 ≤ 4 y1 - y2 ≤ 10 y1, y2  0 (a) Show…

A: As per guidelines, I can do only first question with all its subparts

Q: 3. Average and Instantaneous Rates of Change Suppose that f(x)=4x². (a) What is the average rate of…

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Q: Explain why we require a minimum of 3 points to define a curve. When would we r points to…

A: Let's speak of conic curves. General equation of a conic is  Ax2+By2+2Gx+2Fy+2Hxy+C = 0.

Q: Prove or disprove: If the D is not a PID, then the image of D under a homomorphism is also not a PID

A: the idea is to use the rings Z[x] and Z. The details are provided in step 2.

Q: (5) Let A be an mxn matrix. The row space of A, denoted rowspace(A), is the span of the row vectors…

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Q: Let G be a planar graph on 12 vertices with 24 edges in which all faces are bounded by cycles of…

A: G is a planar graph.Number of vertices  V=12 , Number of edges  E=24. Let F be the number of faces.…

Q: Show that for z, w € C: |z − w|² = |2|² + |w|² - 2 Re(wz). Sketch the set of complex numbers z EC…

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Q: Selberg identity For n ≥ 1 we have

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Q: merchant surveyed 540 people to determine the way they learned about an upcoming sale. The survey…

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Q: Babylonians had a formula for calculating the area of a barge, which is a figure delimited by two…

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Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: Answer)

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

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Q: (a) Solve the problem graphically. (b) Add slacks x3,c, x5 to place the model in standard form. (c)…

A: “Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Let A be similar to B and B be similar to C. Then to prove that A is similar to C.

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Q: A deposit or open the new savings account with $11,000 at 6% compounded semiannually at the…

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Q: let alm) be define AGD by we cm arthmetiol function A(x) = Za(m) : A0²)=0 if x²1

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Q: Q3 a. The slope of the tangent at x = 0 slope=y, у-вн f(x)=y=32²-6 y-y₁ = m(x-x₁) For the function y…

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Q: ηθ 2 € (n3)

A: We recall the big O notation and then solve the problem.

Q: Show that if A and B are n x n matrices then N(A-B) = R" if and only if A = B.

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Q: Generate differential equation by elimination of arbitrary constants.

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Q: Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2√2, 4) 1 where g(x, y)…

A: Given, gx,y=12x+8y2,x=r cosθ,y=rsinθ The Partial Derivative, ∂g∂θ is to be found at r,θ=22,π4.

Q: Show that Z[√-2] is a Euclidean Domain with respect to the norm N defined by N(a+b√-2)=a² +2b².…

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Q: Complete the equations so that the solution of the system of equations is (-3,4). y=x+7 7x+y=-5

A: We have to find the solution of the system of equations.

Q: (d) Show that (x - 1)³ and (x - 1)4 are irreducible elements of R. (e) Use the result of (d) to show…

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Q: Solve the following homogeneous system of linear equations: x1-x2-3x3-X4+5x5 = 0 X7-5x3-5x4+7x5 = 0…

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Q: Use the field F =Z2[x]/&lt;x2 + x + 1&gt; to construct a (5, 2) linearcode that will correct any…

A: Consider the given field, F=Z2x/x2+x+1 Now, abbreviate the coset a+x2+x+1 with a. Then the…

Q: Problem 2 For the 3d object shown to the right, complete the following: a) Determine the position…

A: According to our guidelines we have to answer the first three subparts if question with multiple…

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Q: An account has a nominal rate of 6.9%. Find the effective annual yield, rounded to the nearest…

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Q: Select the argument that is valid. O if 7 is odd then 9 is even 7 is odd or 9 is not even :: 7 is…

A: An argument is valid if and only if conclusion is true for each and every assumption.

Q: 2. Using the substitution 0 = 2 arctan t, it is possible to transform any rational function of trig…

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Q: An account has nominal rate of 6.9%. Find the effective annual yield, rounded to the nearest…

A: Given,  An account has nominal rate of 6.9%, r=6.9%=0.069 Concept,effective annual yield,…

Q: c). Trace, cartesian on a : graph of g(x) = -log = (x-4) of graph. Indicate the demane, the image,…

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Q: Write the following complex numbers in Cartesian from. Simplify as much as possible. 3e7mi/20 . ¿27…

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Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

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Q: There are only 12 such shapes that can be formed in the plane by joining five squares along their…

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Q: Select the logical expression that is equivalent to:-3x(Q(x)^(P(X)VS(x))) x(Q(x)vP(x)v(x))…

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