For the problem max y x subject to 3x + 2y > 12 3x-3y > 2 draw the feasible region and solve the problem: find the maximal value of the cost-function and all (x, y) delivering the maximum.

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Q: Solve the initial value problem: xy' = 1 + x², y(1) = 1

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Q: Find an LU-factorization of the matrix.

A: The given matrix is  A=301611-310 We have to find LU factorization.

Q: A = {5, 10, 14, -3, 11, a, b, y, z} B = {1, 3, 5, 7, 9, 11, u, v, w, x, y, z}…

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Q: Q2) Find the rate of convergence of the sequence an = sin (1) → 0 as n →∞0.

A: Given sequence is αn = sin 1n2    and      limn→∞ sin 1n2 = 0                        ⇒  The sequence…

Q: (4) dy_dy-2y=0 dx² dx =-1) HINT: substitute y = Aex to find roots of characteristic equation (r=2…

A: Introduction: The given differential equation is linear homogeneous differential equation. Given:…

Q: determine the inverse Laplace transform of the given function.

A: The given function is  Fs=1s2+4 We have to find the inverse Laplce transform of the given function.

Q: 1. Given the equation dx = f(x, y), in which f(x, y) is a function of two variables defined on a…

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Q: onsider the following autonomous first order equation: y1= f(y) - (4y2 - 36y + 32)(4y2 - 112y +…

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Q: Find L[f]for each f(t). Q) f(t)=e5t cos4t.

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Q: Let a be a group element and lal = o0. Complete the following statement: la'l = la'l if and only if…

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Q: Problem 3. where find 8² z Ətəs If z = xey x = r² + s² + t2 and y = 2r st

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Q: Is there a solution of initial value problem: (1 + y² = x²)y' = ₁ y(1) = 12

A: The given initial value problem (1+y2-x2)y'=1x with y(1)=1 To check the IVP has unique solution or…

Q: hello I need help with question d) and e)

A: (d). Sum of all the processing time = 665 seconds Capacity of flow rate of the cell will be =3600665…

Q: Give a geometric description of Span{v₁,..., Vn} for the given vectors. 2 A 12 B E 6. V₁ = 7. V₁ = 3…

A: (6)  Given vectors are  v1 = 23-4   and  v2 = -6-912  it is very clear that   v2 = -3 v1…

Q: e For real x, the maximum value of (A) 1 √√2 (C) e sin(x) 1 (D) eve cos(x) e is [IISc Bangalore…

A: Let        fx = esinxecosx         ⇒   fx = esin(x)-cos(x)          --------(1)…

Q: 3) Evaluate the infinite limits. x+1 a) lim x→1+xsin x 1 b) lim x→3− (x−3)5

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Q: Find the general solution of equation y Bernoulli. Take your pick!) 3) int: you can solve it as…

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Q: (Write an equation for the cross section at z = O using x and y.) X

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Q: 3e3x(e3x + 2)'dx =

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Q: .4 e For real x, the maximum value of (A) 1 (C) evz ек sin(x) (D) 1 √2 cos(x) e is [IISc Bangalore…

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Q: ● ydx - xlnx (2 + yelnx)dy= 0

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Q: How many ways can 4 CD's be chosen from a case of 10 CDs?

A: Here we have to find no of ways of choosing 4 CD's from a case of 10 CD's.

Q: Which of the following Venn diagrams corresponds to (ANC)? A B U C A B UC с с b) P Α A / \ В B U C A…

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Q: In Exercises 25-36, find the solution of the given initial value problem. "+10y' +25y = 0, y(0)=2,…

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Q: Complete the next few rows of Pascal's Triangle. 1 1 4

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Q: 1. Consider the following game: L M R T 5,5 6,5 4,1 C 4,4 5,2 2,2 B 3,6 4,6 5,1 (a) Find all pairs…

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Q: Approximate the area under the curve f(x) = -0.3x² + 20 between x = 1 and rectangles. 68.95 x Enter…

A: Note: For this problem, method is not mentioned so. I'll provide the solution using left, right and…

Q: 1) State the value of the limit, if it exists, from the given graph. b) lim g(x) c) lim g(x) x→0 a)…

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Q: Recall that a 5-bit string is a bit strings of length 5, and a bit string of weight 3, say, is one…

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Q: A tank has initially 10 lb of salt dissolved in 100 gal of water. A solution containing a variable…

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Q: = √x +1 Find lower and upper bounds for the area between the x-axis and the graph of f(x) = over the…

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Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

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Q: (a) In how many ways can 8 books be choosen from a group of nine? Your answer is: (b) How many ways…

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Q: a normed space, mapping such that ker(T) = {0}). Show that: defines a norm on E. any vector space…

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Q: The equation of circles which touches x = 0, y = 0 and x = c is (1) ₁²+ y²-cx ±cy + ² = 0

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Q: Let g(x) = √. Find each of the following. (a) g(4s - 8) (b) -4g(x) (7) (d) g(√T) (C) = = = = (e)…

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Q: For all a, b E Z, if a > 1 and b > 1, then gcd (2a,2b) = 2gcd(a, b).

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Q: Using the Laplace transform solve the following initial value problem x" - 2x + x = t - sint, x = x…

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Q: (6) -y=0 d³y dx³ 3

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Q: In Problems 45 and 46 proceed as in Example 7 and express the solution of the given initial-value…

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Q: 10. Given the system of coupled ordinary differential equations below dx1 dt x₁ = x₁ + x₂ (E) = dx2…

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Q: Formulate but do not solve the following exercise as a linear programming problem. A division of…

A: Given: The company manufactures x dining tables and y chairs. Each table requires 40 board feet of…

Q: Solve The following programming by The Simplex method Maximize subject to X1 X1 2x1 -X1 X1, 2x2 +…

A: We need to solve the following Linear Programming Problem using Simplex Method. MAX Z = x1 - 2x2 +…