Given: Min.Z = X₁ +8X2 s.t. Req'd: a) Find the optimal solution using the 2 methods. b) Find the optimal solution if constraint 2 is changed to X₁ + X₂ =3 2X₁ +5X₂ ≥10 X₁ + X₂ ≥3 2 - X₁ + X₂ ≤2 2 X1, X₂ ≥0 X2

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A: Given Data: To calculate the given function, 1.limx→3x2+4x-21x2-7x+12 2.limx→0tan(3x)ln(1+x)…

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Q: For any integers a and b, a + b ≥ 15 implies that a ≥ 8 or b ≥ 8.

A: Let a+b≥15, where a,b are integers.   Case 1: b<8 Then: b<8⇒-b>-8⇒15-b>15-8⇒a≥15-b>7…

Q: 7. 555679.32 8. (3.6) 5

A: We convert the whole number and fractional parts separately and then combine the results.

Q: If a and b are both rational numbers such that a = 0 and b = 0, then is also a rational number.

A: we say a number is rational when it is in p/q form where p≠0.

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Q: Let A be a matrix given by 3 -6 -1 4 -8-2 -3 6 3 Find a 3x3 matrix B such that B 0 and AB = 0. A =

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Q: In P2 consider the subspace H = Span {f(x), g(x), h(x)} where f (x) = x2 + 3, g(x) = x + 1, and…

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Q: Problem 6. Let U = {(x, y, x+2y, 2x − y,x+y) | x, y € F}. Find a subspace V of F³ such that F5 = UV.

A: Recall direct sum is sum but intersection is trivial space {0}.

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Q: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

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Q: Let A be a matrix given by 3-6 -1 4 -8 -2 -3 6 3 Find a 3x3 matrix B such that B 0 and AB = 0. A =

A: A=3-6-14-8-2-363 Finding the eigen value of the matrix A A-λI=3-λ-6-14-8-λ-2-36-λ3-λ…

Q: If a is an odd number, then a³ is an odd number.

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Q: Use the definition to find all the partial derivative of f(x,y) = 4x² – 3xy. fx = 3f = lim…

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Q: A long strand of spaghetti is folded once. If this is cut 20 times, how many pieces of spaghetti…

A: According to question Before placing a cut on spaghetti, strand of spaghetti is folded once. Since…

Q: Let a = 1 2 3 4 2 3 5 1 5 6 7 8 478 6 8), B = 1 2 3 4 5 6 7 8 8 4 6 5 1 2, 3 7 (a) Write a, a¹ and ß…

A: Given ,  α= 1234567823514786  ,  β=1234567837846512∈ S8 (.)  Disjoint cycle :  Two cycles are said…

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Q: Q6: Solve the following set of equations using Gauss-Siedel method and Newton- Raphson method with…

A: we use Gauss-Seidel iteration method. Given initial values in the question is, x = y = z = 1

Q: Cost of Producing Surfboards The total cost C(x) (in dollars) incurred by Aloha Company in…

A: Note: d(xn)dx=nxn-1 The rate of change of the function f(x) means f'(x).

Q: Q10: Used f(r, 8) = logr-tan 0-0 f(r, 0) = csc 0+ Inr-0- start with r₁= 1 and 0₁ = 1 as initial…

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Q: (a) t1 = 2 to t2 = 6 (b) t1 = 6 to t2 = 10 (c) t1 = 10 to t2 = 11 (d) What observations can you make…

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Q: The region bounded by f(x) = -4 sinx, x =,= 2, and y = 0 is rotated about the y-axis. Find the…

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Q: #5) Find the indefinite integral. (Use C for the constant of integration.) IVA x + 3 √4-(x - 2)² dx

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Q: solve the IVP 4ft = 4 Uxx Utt 11(x 10) = ²x²₁ e ( ( -00o 14₂ (x10) = x èx² xe Any Integrals must be…

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Q: Suppose that φ : V1 → V2 is a linear mapping. Then U = φ(V1) is a subspace in V2. If φ is…

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Q: Problem 2 Fill in the missing parts: a i ΣΣ(0-1-;) i=1 j=1 where k = i + j and the integer a > 1. =…

A: As per the question we are given a double summation with indeces i, j and summand (b-i-j) And the…

Q: The sum of iterated integrals is equal: Select one: O a. S²2 S²+2 f(x, y)dydx O b. ²√ √ 2 f(x,…

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Q: Let p = [a, b] be the root of ƒ € C¹([a, b]), and assume f'(p) = f'(po) for some po € [a, b].…

A: Given that p∈a, b be the root of f∈C1a, b, and assume f'(p)≠f'p0 for some p0∈a, b. Consider an…

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Q: f(t) = 5e-7t F(t) = te4t F(t) = 3t²e-5t

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Q: Problem 25 Consider the following heat Problem in dimunionless variables 0o Ц = Ихх - вх tro U…

A: Please check the equation and given solution.

Q: A contractor builds storage sheds in two high end models, the Chelan and the Orondo. Each Chelan…

A: Min z=40000x+30000y subjected to  2000x+4000y≥160006000x+6000y≥360004000x+6000y≥30000x,y≥0 Feasible…

Q: Prove that the function f from Nx N to N defined by f(m, n) = 2m3 is one-to-one but not onto.

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Q: Solve the following system of differential equations: r(t) = 4x₁(t) = x₂(t); x₂(t) = − x₁(t) +…

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Q: Q11: Used Newton-Raphson method to find the root of two functions. f(x,y)= In (x+y)+ sin xy - 2 = 0…

A: Find root of two functions fx,y=lnx+y+sinxy-2=0                       ...ifx,y=0.5e2x+3y+logx=0…

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Q: -B 2. Given: A = 2 -4 0 2 1 -1 2 1 2 3 1 -2 1 4 4 a. Transform A into RREF then give a basis of its…

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Q: Problem #7 Perform inverse Lap lace of the functi S-0.2 N-(s) = (e-0.20_1) e 2 5 +0.20 -0.20 S

A: The  given function is ,       N(s) =   e-0.2e-1s-0.2e-0.2e s2+0.2 e-0.2e s (.)  Inverse Laplace…

Q: Marginal Cost The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact…

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Q: Compute. -4² +4(4)² O-47 O 47 O-48 O 48

A: Solution:  Given,  -42+ 4(-4)2 According to the BODMAS rule, we need to solve brackets first…

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Q: Question 2 Let E = {5, 6, 7, 8} and consider the sentence, 3 m Em² = m. a. Write one way to say this…

A: Given set E=5,6,7,8  and a sentence ∃ m∈E∋m2=m (a) given statement can be written as  There exist an…

Q: 2x [3x+y-yexp(-x²)]dx+[x² + 3y² +exp(-x²)]dy=0

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