a) Find C987 n-1 b) Find a closed form of the generating function for c₁.

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A: Given linear programming problem is Maximize Z=20x+15y Subject to x+y≤3−2x+3y≥3 And x≥0,y≥0. Now,…

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Q: 2 Solve the following ODES by Inverse Operator method 1-2 ý -2y +y = e sinx ý tỵ X X Ans: y=c₁e +…

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Q: a) Consider the utility function of Carin where: (i) 1/2 U (9₁, 92) = 3 × 9₁ 1/3 x 92 91 = total…

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Q: Find the general solution of the differential equation. y (4) — y 14t + cost. NOTE: Use C₁, C2, C3,…

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Q: Let f(x,y) = g(xy*) F g(2)=4, g'(2)=1 be given such that g is a

A: Given,                           f(x, y)=g(xy2), g(2)=4, g'(2)=1 be such that g is a differentiable…

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Q: Q4. Let x²y f(x, y) = x² + y² 0 if (x, y) ‡ (0, 0), if (x, y) = (0,0). (a) Using the definition of…

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Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: Using intermediate value theorem, the equation xe* - 1 = 0 has a solution over O 11,2[ O None of the…

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Sol:- The general solution to anxyn+...+a1xy'+a0xy=gx can be written asy=yh+ypyh is the solution to…

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Q: Q. 40 Consider a hyperbola having its foci at (-4,-1) and (6, 9) and the foot of the perpendicular…

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Q: a. The introduction to this chapter included a table listing the population of the United States…

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Q: Find the solution of the given initial value problem: y(t) = = y (4) + 2y""+y" + 8y' - 12y = 12…

A: Sol:- The general solution to anxyn+...+a1xy'+a0xy=gx can be written asy=yh+ypyh is the solution to…

Q: Solve the linear programming problem by the simplex method. Maximize 20x + 15y subject to the…

A: Introduction: The simplex method is an algebraic method that is used to resolve a linear programming…

Q: Solve the linear programming problem by the simplex met Maximize 20x + 15y subject to the following…

A: Given,            Maximize 20x+15ysubject to constraint         x+y≤3  -2x+3y≥3 x≥0,  y≥0

Q: When real estate is sold, the year's property taxes are allocated to the vendor and the purchaser in…

A: Since the number of days from January 1 to August 7 = January ( 31 ) + February ( 28 ) + March ( 31…

Q: Problem 2.6. Consider the boundary value problem -u"(x) + u(x) = x, 0<x<1, u(0) = u(1) = 0. a.…

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Q: apply the method of order reduction to find a second solution of the given differential equation.…

A: The following steps are used to obtain the solution of a homogeneous linear second-order…

Q: Solve the following ODES by Undetermined Coeff. X 2 2X -4X -X 2X "y "Y +5ý + 4y = x² ²² Ans : y=c₁e…

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Q: hat is the last digit in the product of (3¹)(3²)(3³)(34)...(34⁰⁰)?

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Q: 5) Let V, W be finite dimensional vector spaces over F. (a) ( Prove that (b) Use this to prove that…

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Q: 3 1 Show that the null space of A is a 02 subspace of R³. Which subspace can you obtain by the…

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Q: Solve the following ODES by Undetermined 11 A

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Q: Solve the following ODES by Inverse Operator method (- An (D²-2D+1) y = xe sinx Ans: 4 = ₁² + ₂x č A…

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Q: Solve the IVP using Taylor's series( 3rd deg polynomial). dy/dx = 3x2y; y(1)=1 y'(1) = y" (1)=…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y3³, P(10,…

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Q: Consider the points A(3,-3, 2), B(6, -5,0), C(-1, –4,0), and D(6,3,-4). (a) Find the volume of the…

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Q: 6. Solve algebraically. Use either a number line or interval notation to state the final solution.…

A: Sol:- 2x-1x+7≥x+1x+32x-1x+7-x+1x+3≥ 02x-1x+3-x+1x+7x+7x+3≥0x2-3x-10x+7x+3≥ 0x+2x-5x+7x+3≥ 0

Q: Solve the following ODES by Undetermined Coeff 4X X MO y - 16 y = 19.2 € + 60€, y(₁) =ý ₁0) = 4X -4X…

A: Given ODE is y''-16y=19.2 e4x+60 ex, y(0)=y'(0)=0   To Solve: Using method of undetermined…

Q: apply the method of order reduction to find a second solution of the given differential equation.…

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Q: Find the general solution of the given higher-order differential equation. y (4) - 2y" + y = 0 y(x)…

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Q: Solve the following ODES by Undetermined Coeff. X 2 2X • "Y + 5y + 4y = x 2² 4X -4X 2X 2 Ans: y=c₁e…

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Q: Evaluate the line integral [6. 6ayⓇ ds, where C is the right half of the circle x² + y² = 4.

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Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

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