Suppose that Var(X) = 879.05, Var(Y) = 8681.72, and Cov(X,Y) = 2281.58. What is Var(.08X + .92Y)?

Q: Solve the following IVPs. Use t as the independent variable. 2y" − 4y' + 10y = 0 with y(0) = 2 and…

A: (.) Given IVP is,            here  is an independent variable.We solve the IVP by the method of…

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A: Given that  represent the Taylor's polynomial of degree n about Then we get Then (a) Here Noted that…

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Q: dy 2. Solve = dt -y +28(t− 3), y(0) = 1.

A: We will solve the differential equation by the method of Laplace transform.Laplace transform of some…

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Q: Homework-2: Problem 1 (1 point) Let ƒ : R → R³ be defined by f(x) = (x, 8x², − 3x). Is ƒ a linear…

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Q: Find an LU factorization for 14 -7 -14] -12 18 24 18 -30-30 8 8 16 L J =

A: Given that a matrix We need to determine the LU factorization of A. Where L is lower triangular…

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A: Objective function:Subjected constraints:Machine 1 capacity: Machine 2 capacity: Machine 3 capacity:…

Q: Suppose that a is a double root of Xk+ak-11 k-1 + + a₁ + ao = 0. Prove that the sequence (yn)n =…

A: Given that  is a double root of .We need to prove that the sequence  is a solution of following…

Q: If w = x + y²z, then the differential, dw is

A: Given w=x+y2zTo find the dw, we need to take the total derivative of the expression w=x+y2z with…

Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

A: The objective of the question is to find the expected value of the linear combination of two random…

Q: he city of Raleigh has 7000 registered voters. There are two candidates for city council in an…

A: The objective of this question is to find the sample statistic for the proportion of voters surveyed…

Q: What conditions on b₁, b2, ba, ba make each system solvable? Find a in that case: 12 3] 2 4 6 257 39…

A: Given system is Here associated augumented matrix is

Q: Compute the following values, showing your work: φ(20), φ(25), φ(54) and φ(8!)

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Q: Forward elimination changes -2x - 3y = 7 -6x - 10y = 22 -2 -3 - -6-10 -2x-3y=7 -ly=1 That step…

A: Given that the Forward elimination changes  to a triangular  where   and   That means…

Q: c)

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 2. As we will study in the coming weeks, the one-dimensional motion of a mass attached to a spring…

A: The given differential equation is , where  is a positive parameter.We need to find its particular…

Q: Integrate zezz dz where C from 1 along the axes to i

A: (.)   Given integral is,    where  along to the axes to .(.) If a function is analytic then integral…

Q: Given that, y + t> 3 ⇒ 3t+ 7y > 21 7 11t > y + 11 > 7y ⇒ 11t - 7y > 0 11 9 t> 0 -t-11t+ 9y > -99 (4)…

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Q: 1) Let ACP(R), let f: R → R, and set A' = {0 CR : f-¹(O) E A}. Prove that A' is a o-algebra. Assume…

A: Let To prove  is algebra by assuming  is sigma algebra.Sigma-algebra, often known as algebra, is a…

Q: Currency BDS =$1 USD = $ 2.0675 Convert $7306 BSD to USD. Show all working.

A: Therefore, $7,306 BSD converts to $15,105.155 USD or $15,105.16 USD.Explanation:To convert an amount…

Q: 6 Let f be the function given by f(x) = sin(3x - ) and let P(x) be the third-degree Taylor…

A: The given function is .Let  be the third order Taylor polynomial of  about .We need to find the…

Q: 6. Given the following relations on the set of all integers where (z,y) = R if and only if the…

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Q: Q9.Use Muller's method to find all the solutions of the given function. f(x) = x³ - 7x² + 14x - 6

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Q: These two scientists went on to compare spiders eating habits with humans, pointing out that humans…

A: Given that humans eat  million tons of meat and fish each year. Need to calculate the average amount…

Q: Prove the general formula φ(gcd(a, b))φ(ab) = gcd(a, b)φ(a)φ(b)

A: Prove the general formula: .

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: Execute phase 1 of the two-phase method to find an initial basic feasible solution for the following…

A: Let, given problem:Objective Function:Maximize: Subject to:The problem will be adapted to the…

Q: Compute U22 and match every element in U22 with its inverse

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Q: In a mid-size company, the distribution of the number of phone calls answered each day by each of…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 6 Obtain the solution to the differential equation (e" + e^x)…

A: A differential equation of the form  is called exact DE iff  and the general solution is

Q: 4) Let a < b be real numbers. Prove that the half open/half closed interval (a, b) is both an Fo and…

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Q: The graph shows the amount of a medicine m, in milligrams, remaining in a patient's body h hours…

A: The exponential function is widely used to model many real life scenarios. An exponential function…

Q: Let f: [1,1]→ R be a continuous function. Prove the following statements: (a) If there is c = [-1,…

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Q: Given the following relations on the set of all people. Check ALL correct answers from the following…

A: Let R be a relation on S, then R is calledReflexive: if Symmetric: if Antisymmetric:Transitive: If…

Q: Solve the following IVPs 9y " − 6y' + y = 0 with y(0) = 4 and y'(0) = 1

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Q: Use the midpoint rule with n = 10 to approximate the integral l'ex² O Give an upper bound for the…

A: answer the parts parts with an X that are wrong.

Q: Problem #4: Existence and Uniqueness Theorem for reference: Let an(x), an-1(x), ..., a₁(x), ao(x)…

A: Formula each differential equations we find largest interval on which given theorem gurantees that…

Q: in O, the points A and B have position vectors a and b such that a = i point C has position vector c…

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Q: Suppose E(X) = 71, E(Y) = 62, a = 0.23, and b = 0.77. What is E(aX+bY)? (Please round to two decimal…

A: The objective of this question is to find the expected value of a linear combination of two random…

Q: Given a relation g from the set D = {1, 2, 3, 4} to the set C = {a, b, c, d} where g= {(1, a), (2,…

A: A relation  from the set  to the set  where .The objective is to determine whether the relation is a…

Q: 4. This question is about dot products and normal forms. (a) Give an interesting example of a…

A: (a) An interesting example of a hyperplane H in  in normal form isH: 3x+2y−5z=7In this example, the…

Q: 4. Find the solution of the initial value problem y"+y'-2y = 0, y(0) = 0, y'(0)=1.

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Q: Use the sum of the first ten terms to approximate the sum of the series L n√n²-1 n = 2 (Hint: Use…

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Q: Suppose the relationship between Y and X is given by: Y =  -10 - 25X By how much does Y change if X…

A: The objective of the question is to find out the change in the value of Y when X increases by 2…

Q: The optimal solution of this linear programming problem is at the intersection of constraints 1 and…

A: The optimal solution of this linear programming problem is at the intersection of constraints 1 and…

Q: 形式で段階的に解決 STEP BY STEP IN DIGITAL FORMAT ferential equation ありがとう!! 1 0 (4x2-Ay^)dx-2xydy = 0

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Q: 2. Use row operations to transform the following matrix 1 0 -1 1 012 4 in the form 001 −1 1 2 4 b…

A: Given matrix is

Q: Suppose the variance of X is 95. What is the variance of .09X?

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Q: The linear 1 0 A = -1 - 1 transformation T has standard matrix 1 1 1 0 1 1 1 Find a vector x which…

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