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Q: Consider the following LP problem: max 4x₁ + 3x2, subject to 3x₁ + x₂ ≤9, 3x₁ + 2x₂ ≤ 10, x₁ + x₂ ≤…

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Q: Trapezoidal (Use n = 9) 5. 6. √² (5√x - ³) dx 3) (5ex-e)dx

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Q: 1. How many corner points are there in this LP problem A. 1 B. 2 C. 3 D. 4   2. Which of the…

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Q: Discreet Mathematics Given F (A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F (A, B,…

A: Given:  F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD To find: Minterm list form

Q: Use the trapezoidal rule with n = 4 to approximate S 0.8 0.7 0.6 0.5 1 1.5 2 2.5 3 35 4 4.5 -0.1…

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Q: 7.Find a²z of z = 2x³-5xy² xy

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Q: Calculate the arc length of the cycloid x(t)= a(t— sint), y(t)=a(1— cost), telo 201 a

A: Introduction: The distance between two places along a portion of a curve is called arc length.…

Q: 4. Find the distance from the pole to the vertices, and then find the equation of the ellipse in…

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Q: 7. Solve the linear equation systems below using matrix inverse method. [Hint: x = A¯¹B]. x + y = 6…

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Q: A delivery service is considering the purchase of vans. The model SE costs $16,000 with an expected…

A: A linear programming problem is an optimization problem. It contains three parts. They are…

Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

A: Since  the area is rotated about x axis ,the y and z coordinates of centroid are 0, and the centroid…

Q: 5. Let a₁ = √5, (a) Find the recursion formula (b) Assuming the sequence converges find its limit…

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Q: 3. Solve the following differential equations using Laplace transforms: 1 dx d²x dx +4 dt² dt +4x=t²…

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Q: 7) FIND THE THE FIRST COLUMN OF THE INVERSE USING FACTORIZATION (ROW wwwww OPERATIONS) 1 13 -1 3 1…

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Q: X 1 4 7 9 11 f(x) 12 -23 -15 33 -13

A: The given set of data is                           x f(x) 1 12 4 -23 7 -15 9 33 11 -13…

Q: Let (X, T) and (Y, T₁) be two topological spaces and let f be a continuous mapping of X into Y. O…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: On January 1, 2022, Marites deposited P15,000 in a bank that offered 2.5% annual interest compounded…

A: Given that, Amount deposited on January 1, 2022 = 15000 rate (r) = 2.5% compounded monthly, So, n=12…

Q: Find the Fourier Series expansion of the following function and draw three periods of the graph of…

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Q: and conversely.

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Q: 1. For each equation, first find the general form of the solution, and then apply the given Cauchy…

A: Note: As per our guidelines we will solve only first question. If you want any specific question to…

Q: A ball is dropped from a height of 10

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Q: 5. Let G=(V, E) be a graph with n > 3 vertices. (a) Define a relation on V by "ry if and only if…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: ƒ(x) = 3x4 +√4x; ƒ"(1.2) 6

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Q: The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

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Q: What happened to the absolute value of e^-|2t|?

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Q: dy (c) Solve the differential equation x²e-x/x - y² + xy = dx = 0 with y(1) = 0.

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Q: The relationship between training costs (x) and productivity () is given by the following formula, y…

A: Given- The relationship between training costs (x) and productivity (y) is given by the following…

Q: If you want to accumulate $ 28,000 in 5 years to purchase a car, how much you need to invest today…

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Q: Problem 1 a. Find the Fourier transform of the given function. f(t) 2A =t+ A, ≤t≤ 0; T 2 f(t) = 0…

A: Given function is f(t)=2Aτt+A,     -τ2≤t≤0-2Aτt+A,   0≤t≤τ20,                   elsewhere Let the…

Q: the plane curve described by the parametric equations x=cost and y=3sint has a counter-clockwise…

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Q: Numerical Integration: 2 1 ² 1. =dx Jo √x

A: As per the question we are given a definite integral and we have to solve it numerically. Here we…

Q: Use multiple equation Newton-Raphson method to determine one of the roots of the following…

A: Given x2+3y2=10x-22+y-12=3

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given: ∫021xdx To find: Definite integral

Q: 1. (D²-8D+20)y=100x² - 26xe*

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Q: Let ƒ be a mapping from [2, +∞ [to, +∞[defined by: 3 f(x) = x + = x f has a fixed point. O False O…

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Q: 2. For x = [0, 1], find F(x)=f(1) dr for each of the following functions f defined on (0.1). In each…

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Q: et [a, b] be a real interva b]→X is continuous, the is continuously differentia

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Q: Consider the following optimisation problem min f(x, y) = x + y − x2 subject to x + y ≤ 1 x ≥ 0, y ≥…

A: As per the question we are given a optimization problem as : min(x,y) x+y-x2 s.t. x+y≤1 ; x≥0 ; y≥0…

Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -π<x<0 f(x) =…

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Q: Simpson's Three-Eighths (Use n = 12) 9. So¹ (3x²+3) dx 10. (2 sin x + 3cos 2x) dx

A: First we find general solutions: 9.  ∫13x2+3dx=∫13(x2+1)dx=13∫1(x2+1)dx=13tan-1x +c    then…

Q: If A is a 7 X 9 matrix with a 2 dimensional null space, what is the rank of A? Could a 6 X 9 matrix…

A: Given that A is a 7×9 matrix with a 2 dimensional null space. We have to find the rank of A. Since,…

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESU 4. Lim (2 4 Arctanx.

A: Solution:-

Q: A tank has the shape of an inverted right circular cone of depth 5 meters and radius 2 meters. This…

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Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}

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Q: 3. Which is NOT the correct statement of a degree of a vertex? B F A) d(E)=6 B) (B) = 4 OC) d (C)-3…

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Q: Find a. a. b. ow ax dw dz dw dx y and b. (2,-2,-2) (2,-2,-2) ow at the point (x,y,z) = (2, -2,-2) if…

A: To find- Find  ∂w∂xy ∂w∂zy at the point x, y, z = 2π, -2, -2π if w = x2 + y2 + z2 and y sinz + z…

Q: y'(0) = 1. y'(0) = -0.5 y'(0) = 0. y'(0) = 7. '0) = 0. )) = 4. )) = 2. y₂ (0)=0. x: (0)1 23) 4y"-8y…

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Q: A Fourier transform is another integral transform often used in higher mathematics. The Fourier…

A: As per the question we are given the definition of Fourier transform of f(t) as F(ω) Amd from that…