Try to think about what a decision about making profits can mean for the people involved, and the effects of these decisions can mean. How will a community be affected by the decisions of a company? Think about the benefits and drawback of using only mathematical formulas to make decisions

Q: 2A3. Given the following matrices 23 [031] H [Bijl= 0 5 1 [Cijl= 1 0 2 021 243 Demonstrate the…

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Q: 4) Let G be the subgroup of GL3(R) consisting of matrices of the form [1 a C 01 b 00 1 Determine the…

A: Given G be a subgroup of GL3(R) containing matrices 1ac01b001. We have to find Centre(G).

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Q: in 28. 29. 20 dx dy dx dy 2x - y 4x + 3y 2x + y x²-3y²

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Q: in al In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements…

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Q: a) Find the unit tangent vector 7(1), unit normal vector Ñ(t), and unit binormal vector B(t) to the…

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Q: 9. Which of the following equations is (are) Bernoulli? dy (A) y + In y = tan² (z+5) (B) =…

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Q: 1) Let A = 1 2 1) 101 1 1 2, Express A-¹ and A as products of elementary matrices.

A: Introduction: Elementary matrices are the matrices formed by having entries of elementary operations…

Q: Let V₁ = (a) Convert (V1, V2} into an orhonormal basis of W NOTE: If your answer involves square…

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Q: 1. Find the vector ? directed from (2, −4, 1) to (0, −2, 0) in Cartesian coordinates and find…

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Q: Activity 2 Given these data 0.5 1.3 x y 1.3 1.8 3.2 2.2 4.0 2.5 6.3 2.8 Calculate 2.5) using…

A: Firstly, set up the forward divided difference table for the given data. x f(x)       Ist diff…

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A: Given the equation of conic  5x^2-4xy+2y^2=24 The homogeneous second degree polynomial (quadratic…

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Q: Question 2. Suppose C* is group of all complex numbers except zero under multiplication, and R* is…

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Q: Let V be the vector space of all (2 × 2)-matrices. The trace tr(A) E R of a matrix A E V is the sum…

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Q: 6. Ten children are to be divided into an A team and a B team of 5 each. A team will play in one…

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Q: Tony plans to set aside money for his young daughter's college tuition. He will deposit money in an…

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Q: A line segment is a polyhedron. Express the line segment given by the interval (1, 2) on the x-axis…

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Q: se the graph and the range of dimensions from part (c) to find the x-value for which V(x) is…

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Q: 6. An n x n matrix A is diagonalizable if and only if it has n distinct eigenvalues. ? 7. Let W be a…

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Q: Find the inverse laplace transform f(F) = (^' {F(S)} OF of F(s) = 55 +8 515 52-25 F(t) =

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Q: -87 The matrix A= -2 0 4 2 8 2 0 6 has a single real eigenvalue X = 2 with algebraic multiplicity…

A: The given matrix is A=-20-8428206 and eigenvalues of A is 2 with algebraic multiplicity three. We…

Q: 6. Sketch the graph of the function f(x) = -(x-4)(x + 1)²(x - 5). Explain your thinking.

A: The given function is, f(x)=-x-4x+12x-5. To Sketch: The graph of this function with proper…

Q: 8) Given the vertices, connect them with edges in order to get a regular graph of degree 4 without…

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Q: 13. Solve the exact IVP: (ex + y) dx + y(0) = 1 : (2+x+yey) dy = 0

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Q: Determine if the statements are true or false. 1. Any four vectors in R3 are linearly dependent. ?…

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Q: Find the solution to the differential equation :y(0)=-6 dy ax CO3(x) Y

A: The given differential equation is dydx=cosxy; y0=-6 We have to find the solution to the given…

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A: Given vector is: r(t)=(6cost)i+(9sint)j

Q: FIND THE POINER CERIS ORDINARY POINT X=0. 3. (x²+1)y"_by=0 SOLUTIONS OF THE CIVEN DIFFERENDAL…

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Q: Solve the system 5x + 3y = 5 2x + 5y = 9 mod 19 mod 19

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Q: Find the difference quotient of f; that is, find f(x) = -2x+2 f(x+h)-f(x) = h (Simplify your…

A: The given function is fx=-2x+2. We have to find the difference quotient of f.

Q: In each case, find elements a and b from a group such that lal |b| = 2. %3D a. Jab| = 3 b. lab| = 4…

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Q: To protest the logging of old-growth forests in Northern California, an activist lived in a tree for…

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Q: Solve the following initial value problems: 3. = 2y — 3H(t — 1), y(0) = 4. dt

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Q: Find the critical point(s) of the function. f(x, y) = 2e²-√²+4y (Give your answer as a…

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Q: Show that An, n > 5 is simple.

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Q: State the order of the given differential equation. (1-x) y" - 4xy + 5y = cos x d³y +y=0 dx³ a) b)…

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Q: the general solution, using the formula 7. 8. dy dt dy dt -2ty + 2te-t². (sint)y + 2 sint. fG(s, t)q…

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Q: Suppose up to 300 cars per hour can travel between any two of the cities 1, 2, 3, and 4. Formulate a…

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Q: (a) Given 2 '11 A = 4 1 -8) -3 -8 -1 6 Using Elementary Row Operations find the rank of A. -31 (b)…

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Q: Find the Laplace transforms for the given f(t). (k) f(t) = t sinh 3t (1) f(t) = t² sin 3t (m) f(t) =…

A: The given function is k ft=t sinh 3tl ft=t2 sin3tm ft=t2 sin2tn fθ=2e3θ4 cos2θ-5 sin2θ We have to…

Q: jdx=17 One way to compute VidX is to iterate the following sequence idX Xn+1 = 1/2 ( ²₁ + 1 (1) (a)…

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Q: 2. The equation y = cr² is the one-parameter family of solutions of which of the following…

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