Fit a second-degree parabola - curve fitting using least square method from the data below:  x 1 2 3 4 5 y 40 52 62 58 60

Q: 1. Construct the intersection graph for the collection of sets: A₁ = 0,2,4,6,8 A₂ = 0,1,2,3,4…

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Q: Minimize: F = 56x+24y Subiect to:

A: We have to find minimum value of F using given data.

Q: 4. Let G and G be groups and let y be an isomorphism from G to G. Prove that if K CG, then y(K) CG.

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Q: Let A = --4 det 1 -3 det (AA)=0 λ = -4 2 1 ( ³1-[i]=0 -4 2 Check -3 Fill the following boxes: 1²_…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: The matrix has eigenvalue X = 3 repeated three times. Find an 3-eigenvector for A: 15 || 1 W = -1 1…

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Q: 1-14 GAUSS ELIMINATION Solve the linear system given explicitly or by its augmented matrix. Show…

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Q: Suppose {u₁, U2,..., U2n} is an orthonormal basis for R2n. Let n A = Im - Σuju?. j=1 Show that (a)…

A: We show that A is idempotent matrix   For this we have A2 =A .. And the eigen values of idempotent…

Q: Area of the unit square is 1 The unit square is transformed by matrix A. What is area of the new…

A: Given that the area of old unit square is  1                               Length…

Q: The matrix The larger eigenvalue X₂ - Is the matrix A defective? A = choose has two real eigenvalues…

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Q: Find the following indefinite integral. Use C for the constant of integration. -3x-² + 3) dx

A: Formulae:(i)∫xndx=xn+1n+1+c(ii)∫kdx=kx+c, K is constant

Q: If A = Select one: O a. O b. O c. O d. 13 = which one the following is CORRECT? 6, A is a singular…

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Q: Question #6. Use the Laplace transform to solve the following differential equation dy 4 +8y=7, dt…

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Q: Use the "element chasing" method to show that: For all sets A and B, if B C A^C, then An B = 0.

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Q: Review the Green's functions for one-dimensional boundary value problems. Solve the boundary value…

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Q: m/33 (2) Σα k-0 with 3k

A: As a summation, the expression you provided represents the total of all the terms for the specified…

Q: Find the area between the graph of y= - 9x³ and the x-axis on the interval [-2, 2]. Write the exact…

A: Given the graph of y=-9x3 and the x-axis on the interval -2, 2.

Q: 1. For each of the following functions, find the Fourier coefficients, the Fourier series, and…

A: Let "f" be a function defined on [-L,L]/(-L,L). Then we can make it periodic by introducing the…

Q: III. Lagrange Error Bound 11. Find the Lagrange error bound for the approximation cos(0.3)~ 1-…

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Q: 3. Suppose the sequence of partial sums for the series an is given by the expression Sk k where Sk =…

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Q: Projective Plane: Axiomatic Approach A projective plane II is a set of points and subsets called…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 10 10 a = 2 i +3j - 4 k 13 3i+2j+ k = 2i - 3j - k Find d. if d = a-36-22 ZARASANE J + k

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Q: الموضوع : هوم ورك ح " لسلاح Second order D.Eq. ش عمده ساتور حماد وجود

A: y''+y2=xy0=0y'0=1h=0.1 We have to approximate y0.1

Q: Find the general solution of the given system. X(t) = X' = 100 00 5 2 X +2 1 ₁ ¹+ t+ 3t X

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Q: If |z| ≤ 2, show that |Im(5 + 2z - 3z³)| ≤ 33.

A: We know, for a complex number z      i) |Im(z)| ≤ |z|      ii) |z̄| = |z| Also, for any two complex…

Q: Consider the following ODE: 2x 12 - (₁ ²xXx ²) y² + (₁¹²2₂²) y = 0 1 1-x² y" y' Defined for x in…

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Q: Problem 6. Suppose that X = (X,*) is a group containing at least two elements. Prove the following…

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Q: Determine £{f}, where the periodic function is described by its graph. Af(t) 24 L{f}(s) = 2a 4…

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Q: 1. Graph the following inequalities, then find the coordinates of the feasible region. b. 4x - y ≤ 8…

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Q: Find all complex numbers z satisfying 24 = -1 and give your answer as a comma-separated list of…

A: Given that the complex equation z4=-1

Q: Q4 Graph one petal of the rose curve -sin20 if =(0-90°) at increments o 15⁰ we curves. in nolar…

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Q: In Exercises 15 and 16, A is a 2 × 2 matrix with eigenvec- tors v₁ = , - [_1] and v, = [1]…

A: For a matrix An x n, λ is called an eigen value of A if there exists a non zero vector x such that…

Q: Problem 30. Solve the following Cauchy problems 1. Uux + Uy u(x,x) = 1 = 0 Here a = z, b = 1, c = 1,…

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Q: The Questions Question 2. The Fourier series representation, FS(t), of a periodic function of period…

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Q: 3. Consider the linear system x1 + 2x2 + 3x3 = -5 3x1 + x2 3x3 = 4 −3x₁ +4x₂+7x3 = -7 (a) Solve it…

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Q: [2 4. Compute the inverse of the matrix A = 3 5 5 in three ways: 1 89 (a) Using the adjoint formula…

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Q: Solve the differential equation below using series methods y"-3xy'-y = 0, y(0) = 4, y'(0) = 3

A: Given that the differential equation is                           y''-3xy'-y=0, y(0)=4, y'(0)=3.

Q: 1) Consider the recursively defined sequence x₁ = 2 Xn+1 = 1 3-In Prove that the sequence converges…

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Q: [10 01 1 10 A = 0 1

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Q: only HANDWRITTEN answer needed ( NOT TYPED)

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Q: In rectangular canterian coordinater, show the ar = ei

A: To show in a rectangular and curvilinear coordinate systems,  ∂r∂xi=ei This is a Tensor Calculus and…

Q: Use the definition of Ax to write the vector equation as a matrix equation. 3 5 [HH-HAD +23 3 3 -4 5…

A: The given problem is to find the matrix equation for the given vector equation form. Given vector…

Q: If T:R² R² is a transformation and the action of T is as given, find a formula for T¹(V), where V is…

A: Given that T:ℝ2→ℝ2 is a linear transformation such that Txy=3x-3yx and the inverse linear…

Q: properties: Suppose you set up a tent on a a windy beach with the following .The sides of the tent…

A: Given the description of the tent as The sides of the tent are given by the planes x=0, x=6, y=0,…

Q: 10 a 0 12. b c d 0 e 0

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Q: Question #1. Express the following as a partial fractions and hence find the inverse Laplace…

A: This question is about to evaluate inverse Laplace transform.

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A: (.)  Given system of linear equation is,               3x1+3x2+6x3=12-9x1-9x2-18x3=-36…

Q: f(x, y) = 2x2 +9y2 on the disk bounded by the circle x² + y2 = 9 A) Absolute maximum: 18 at (3, 0)…

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Q: Botanists discover a new plant that lives for only one single year. It germinates in the spring,…

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Q: he corresponding associated homogeneous equation, find a partic e following DE by the method of…

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