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Q: You have a data matrix X € Rnxd where each row corresponds to a student and each column corresponds…

A: The main objective is to give upper bound for the rank of matrix X.

Q: Given that equation 1 attached below is true for all x ∈ R, do the following: a) Find the…

A: Maclaurin series is taylor series about the point zero .It is used to approximate functions by nth…

Q: Solve using the simplex technique, and then identify the optimal values of these variables Z, x1,…

A: After using slack variable we have  Max Z=4x1+2x2+5x3+0S1+0S2+0S3Subject…

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Q: Find the sum of natural numbers from1 to 100. 2. Find S12 , the tenth partial sum of the

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Expand the given function in a Maclaurin series. 1 f(z) = 6 - 2z 8 k = 0 Give the radius of…

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Q: (a) (b) (c) (d) Determine whether the given matrix is elementary. 10 5 1 -5 1 [1] 1 10 001 0 00 2002…

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Q: E CD a +b+c+d=O (2) d 2 d=6 = 0 -26-c-2d=

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Q: Find the interval of convergence of the following series: X 1.2 + O-2≤x≤2 O-2<x<2 O-1<x< 1 x² 2².22…

A: Given series is x1·2 + x222·22 + x332·23 + ... + xnn22n + ...

Q: 1. You find an online savings account paying 2% interest per annum compounded monthly. In the…

A: As per company guidelines we are allowed to solve maximum 3 sub-parts so i am solving first three…

Q: 6. a) Determine which amounts of postage can be formed using just 3-cent and 10-cent stamps. b)…

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Q: You have a data matrix X = Rnxd where each row corresponds to a student and each column corresponds…

A: As per the question we are given a (n×d) data matrix X consisting of the marks of students 8n…

Q: Find the solution of the given initial value problem: y" + y' = sec(t), y(0) = 6, y′(0) = 7, y″(0) =…

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

Q: Classify the origin as an attractor, repeller, or saddle point of the dynamical system k+1 Ax. Find…

A: To classify the origin of the discrete dynamical system, xk+1=Axk, it is necessary to evaluate the…

Q: 17. Evaluate lim x-0 1+x-ex 4x² using Taylor series. You can use that e 8 -Σ² k! k=0

A: I have given the answer in the next step. Hope you understand that

Q: 4 Determine whether the series Σ converges or diverges. If it converges, find its sum. 7m m = 2…

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Q: 4(t) = It cos (6t +풍)

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Q: Prove if it is a group or not. 1. {x≤R 0<x< 1},x*y= | xy 1-x-y+2xy 2. G= {x ER | 0 < x≤ 1}, x* y =…

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Q: Solve the initial-value problem. y" 16y=0 y(0) = 4 y'(0) = -4

A: To solve the problem :  y"-16y=0 , y(0)=4,y'(0)=-4

Q: Question: Solve the following initial value problem by using (i) Taylor series method (ii) improved…

A: We will solve it by Taylor's series method in this answer

Q: The students in a class get to decide on the color of the classroom. The two choices are blue and…

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Q: Question 58) In this question, use Theorem 1.8.2 to show that T is not a matrix transformation. T(x,…

A: Given that T(x, y) = ( x2, y)

Q: a. Let g be the piecewise linear function 0, g(t)=(t-5), 1. t = [0,5) t≤ [5, 10) t> 10. Express g…

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Q: ). Use the method of undetermined coefficients to find the general solution to the given…

A: We use method of undetermined coefficient to find general solution of given differential equation.

Q: given line Find the volumes of the solids generated by revolving the region about the The line x =…

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Q: 4. Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the solution of the initial value problem 1 3y" - 4y + y = 0, y(0) = 3, y'(0); 3 Then determine…

A: Find the solution to the initial value problem 3y'' – 4y' +y=0, y(0)=3, y'(0)=13 Then determine the…

Q: A women’s resource center which provides housing for women and children who come from abusive home…

A: From the given information, in the sale of two type of candy bars, the profit is 0.65$ and 0.85$…

Q: a. Show that the Bessel equation of order one-half x²y² + xy + (x² − ² ) y = y = 0, 4 can be reduced…

A: (a) Consider the given Bessel equation, x2y''+xy'+x2-14y=0, where x&gt;0 Since, we have given that…

Q: Answer only 3, need asap.

A: Solution 3: Given data set is We can write it in increasing order 8 9 10 10 10 12 12 13 14 15…

Q: 4. The product of two binomials that will not result in a perfect square trinomial or a difference…

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Q: Consider the initial value problem y" + y = fk (t), y(0) = 0, y'(0) = 0,

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Q: 3. Solve 2x²y" + xy' − 3y = 0 with the initial condition y(1) = 1 y′(1) = 4

A: This is a Cauchy Euler equation. The equation is solved by a substitution.

Q: For each ordered pair, determine whether it is a solution to the system of equations -14x+2y=-6…

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Q: 2 3 3 4 + 5 7 Divergent Conditionally convergent Absolutely convergent None of these Other: 5 9 + :

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Q: Find the tangent plane of the function f(x, y) = √2x² + 2y² at (1,1). Is it parallel to 2- the plane…

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Q: Find the general solution of the following equation valid near the origin: (1+4x2)y"-8y=0 00…

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Q: S Consider See arises LP problem B = {2,3, 6} x₂ = x 3 x₁ = = Z = What the in follow is the 5 + 3x₁…

A: Given that: x2=4-x1-3x5-4x7x3=3+2x1-x5-3x7x6=8-2x1+2x5+3x7z=5+3x1-x5+4x7 The objective is to…

Q: Estimate the slope of the tangent to the function… at the point of abscissa -3 and then determine…

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Q: (z}= eBook 14 1 1 (2-5)² (2-5)³ (z-5)* **** " {1-字+()()}} x

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Q: 0 X dx x²(x - 1)' (0 < p < 1).

A: We will use the key-hole conture to find a closed form for the general case of the integral of xP-1…

Q: 56. How many seating arrangements are possible for 5 people to sit in the 5 seats of a car if 1…

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Q: Find the F.T. of the fall wing Signals (functions): F(t)=1+cos(6πt +)

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Q: Use the universal property of the tensor product to show that: given line maps T₁: V₁ → W₁ and T₂ :…

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Q: 3. Let S be the surface defined by the vector function R(u, v) = (2e" sinv, 2e" cosv, u²+u), where u…

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Q: A tank contains 1,158 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

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Q: 7. Let p and q be primes and suppose that p = 2q + 1. Let h E F and assume that h 1. Pre that ² h…

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Q: Which of the following is a solution of the following equation valid near the origin for x>0?…

A: To find the solution of the given different equation by Frobenius method.  In this method we assume…

Q: -nsider the power series +00 Σ n=1 Determine whether the resulting series when x = -4 absolutely co…

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Q: 3 Problem 3 Given A E Rnxn, B E Rnxm, CE Rmxn, DE Rmxm, a E R", and be Rm. Assume D and A (A -…

A: Given: Matrices A=ℝn×n, B=ℝn×m, C=ℝm×n, D=ℝm×m, a∈ℝn and b∈ℝm. Matrices D and A-BD-1C are…