Consider the famous Hydit-Filit problem, but with c₂ the coefficient of x2 in the objective function. Max: Z(x)= 140x₁+ s.t. 2x₁ + 5x,+ XI XI C2 X2 4x2 ≤28 5x2 ≤ 50 ≤8 X26 ≥ 0 X2 ≥ 0

Q: Prove the following integration by parts statement: Let f and g be holomorphic in G, and suppose y C…

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Q: Approximate Lf (P) = Uf (P) = x² dx by computing Lf (P) and Uƒ (P) for the partition P = -20 {-20,…

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A: y''+y2=x, y0=0, y'0=1, h=0.1

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Q: Find the basis of subspace defined as S = {(a, b, c)|a - b +2c=0}.

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Q: ❖ Mid - point method: In Problems 1 to 4, evaluate the definite integrals using the mid-ordinate r…

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Q: Section 7.1 problem 4: Find the ranges of the following functions on Z: (a) g = {(x, 4x + 1)|x € Z}…

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Q: (18) Find [S], where S = {(a, b, c)|a, b, c E [100], a <b, a <c}.

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Q: Q1 Find all the points of intersections of the curves r = 1+cose and r=1+sin0 r-1+ (0) r=1+cm(0)

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Q: 16. Given F = (e²,,x), and G(r,s) = (rs,r+s,r) from 0 ≤r ≤ 1 and 0 ≤ ≤ 1, find oriented by T, x 7₁.…

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Q: 4. (**) Let [x] be the greatest integer that is ≤r. Then prove (10) IN [(k,n)

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Q: Let A be a non-empty set. Recall that the identity relation on A is the set: IA = {(a, b) = A² | a =…

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Q: 3. Given the non-homogenous differential equation: y" + 4y = 2cos (3t) Use the method of…

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Q: 3 m B 0 D с 5m ABCD is a rectangle 3.00 m by 5.00 m. 0 = 78.0°. Find length x (segment AF) in meters…

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Q: 5. 6. 7. 6s²-13s+2 s(s-1)(s-6) s+11 (s-1)(s+3) 58² +34s+53 (s+3)² (s+1)

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Q: 2. Each series below is convergent. Compute the exact value of each series. 1 Σ(27) n=2 1

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Q: Find L S s²-48-7 Find L¹ 2s+6 s² +6s+34

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Q: Using both the Euler's and Runge-Kutta 4th order methods with a step size of h = 0.1, find the value…

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Q: Use the function to find the image of v and the preimage of w. T(V₁, V₂) =(√² V₁. √2, - V2, V1 + V₂,…

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Q: 1. ²²(²5 3) ` = [(-3³ -¯2)] a[; Find x such that 2

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the value of integral +y+z)ds, where C is parmeterized by F(t) = (3 cos (3t), 3 sin (3t), 4t)…

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Q: problem? Please write a solution on a piece of paper and upload it here. Question: Let G1 = ℤ3 , G2…

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A: Given the nonlinear system  fx, y, z=x2+y2+z2-1=0gx, y, z= x2+z2-0.25 =0hx, y, z=x2+y2-4z     =0…

Q: Let f: [-100, 100] → R be the function defined by x + 2 √x² +1 Show that f has a maximum value and a…

A: We are given that       f(x) = (x + 2)/√(x2 + 1)    Differentiating w.r.t x, we get          f’(x) =…