3 Evaluate Inverse Matrix A-¹ = -1 2 12 2 1 -1 1

Q: Equation: y" - 2y' + y = 0 y = 2xe* b. y = x²ex a. On the interval (-00,00)

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A: Given:→ patio blocks measure = 12 inches by 6 inches→ the patio measure = 14 feet by 12 feet…

Q: E Valuate by Beat function: 1 = 5 +²²1 dx 1+x4

A: Given : I=∫0∞xa-11+x4dx Evaluate the given integral by beta function .

Q: Let a, b, and c be real numbers such that a + 2b + c = 4. Find the maximum value of (ab + bc + ca).

A: Hint:  Using Lagrange Multiplier

Q: 1. (2xy + x²) dy + (2xy + y²) dx = 0 A2 (3x² + 2xy) dx + (x²) dy = 0 *AA 3. (3x²y³ + 3 sin x + 4y)…

A: Disclaimer: SInce you have asked to solve only question 3, this question has been solved only.…

Q: Prove that 3n+2 and 5n+3 are relatively prime for every integer n.

A: 3n+2 and 5n+3 are relatively prime for every integer n.

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: Slope is derivative of y with respect to x. And equation of tangent is (y-y1) =m(x-x1).

Q: 4) (x²D² + xD-1)y=16x³ y(1)=-1 y'(1)=1

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Q: 2 Interpret the following using the given propositions. GIVEN: P: MATM111 is fun to learn. Q:…

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Q: 3.- ] Check that each given function is the solution to the initial value problem. y'(0)=2, y(t) =…

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Q: Let P2(R) have the inner product, (p, q) = f* p(x) q(x) dx, Vp, q € P₂ (R). Find the best…

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Q: 1. (2xy + x²)dy + (2xy + y²) dx = 0 2. (3x² + 2xy) dx + (x²) dy = 0 A 000 1000

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Q: 12. Convert the expression to matrix notation: E = B¡j aj bi

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Q: Q2) Solve the BVP utt = Uxx ux(0,t) = 0 u(x,0) = 0,_ u₂(x,0) = f(x) = {100 0 0 01

A: We have to solve the given boundary value problem using the given boundary condition.

Q: y(4) + 3y" - 4y = 0

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Q: Q2/Solve the following equation from t=0 to 1 with step size is 0.5 using Euler's Method. dy dx = y…

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A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

Q: Exercise 6. If ||·|| is a norm on the vector space E, show that the formula d(x, y) = ||y — x||…

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Q: equation (2+1)³ = (2-1) 5 Find roots of the

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Q: 5. Find the DE ofhyperbolas b²x² - a²y² = a²b²

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Q: (y²-xy)dx + 2 x² dy =O

A: Solution to the differential equation

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Q: Can Taylor's theorem with Landau symbol (Corollary 4.19) be applied to the function f: R → R, f(x) =…

A: To find- Can Taylor's Theorem with landau symbol (Corollary 4.19) be applied to the function f : ℝ →…

Q: Let V₁ = ? V₂ == 3 6 -11 and V4= -3 1. Determine whether or not the four vectors listed above are…

A: Introduction: Let A = v 1, v 2,..., v r represent a group of vectors from Rn. A is said to be…

Q: Using Doolittles method for the following matrix A = L - matrix and U - matrix. [-1 2 0 8 -2 0 6 .…

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Q: Find the amounts x1(t), x2(t), and x3(t) of salt at time t in the three brine tanks of Fig. 5.2.5…

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Q: 2 f(x, y) = x² + 3xy

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Q: Exercise 2. 1) If (X, d) is a metric space show that B(x,r) is always an open set for x = X and r≥…

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

Q: Q5/ Maximize f(x₁, x₂) = x₁ + x2 by use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂…

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Q: If w and a are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + c)] + [1/(c + a)] = 2a² and…

A: We will use value and relation of ω ω3=1 1+ω+ω2=1

Q: Solve the system 1 2 3 4 || +s 1 1 +x2 2 +X3 3 +4 +4 || = || ܒ ܝܕ ܚܘ -3

A: The given system of linear equation                                           x1+x2…

Q: What is the truth value of each of the following wffs of the integers? (x>h ^ h>x) (hA) (TA) (v) (b)…

A: a) For all x and for all y are integers (x<y or y<x).......(1) Choose x = -2 and y = 1  Or x =…

Q: 1. Rewrite the formula for the volume of a sphere so that it is solved for r. Show all your work.…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Write the equation of the line passing through the point (4,-9) with slope 34

A: Given that Point (x, y)=(4, -9) and  slope m=-34 Equation of line with point and slope is y=mx+c

Q: ایت (porve ere(o if : er f. = er f = 1/2 Set.dt

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Q: Question 14 If a, b>0 the second degree polynomial P₂(x) =4+ 6(x− a) + (x− b) (x − 2) is determined…

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Q: A. A company manufactures three goods, X; Y and Z, each of which is made from three types of input,…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: y' = (y+4x)² (Bet y + ₁x = v) утих

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Q: QUESTION THREE A. A company manufactures three goods, X; Y and Z, each of which is made from three…

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Q: 5) FIND THE MAGNITUDE OF THE VECTOR THAT SATISFIES THE EQUATION 27-68 +3 = -2y, WHERE = x-2Z ANB B…

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Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

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A: To prove that the distance of the roots of the equation…

Q: Show the complete solutions. Family of circles centered at (h, k) Ans: y" [1 + (y)²]- 3y'(y")² = 0

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Q: 1. ( (PV RAQ) (PARVQ))

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Q: Find a quadratic equation whose product of roots x, and x₂ is X₂ equal to 4 and satisfying the…

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Q: 27. Exclusive Or How is the addition rule changed if the exclusive or is used instead of the…

A: Exclusive or means that the two events, let say, A,B have nothing in common. That is, the occurrence…

Q: / Using Doolittles method for the following matrix A = L - matrix and U - matrix. TOY 2 0 86, find…

A: Given : A=-121086-205 To find : L-matrix and U-matrix

Q: Every nonempty class C has an E-minimal element.

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Q: Forces acting on moving objects (cars, airplanes, ships, etc.) require the engineer to know…

A: Given the position vector is rt=t,t2,0 So, r't=1,2t,0r''t=0,2,0 and, r't=12+2t2+02=1+4t2 So, the…