Suppose that Var(X) = 704.85, Var(Y) = 9161.83, and Cov(X,Y) = 2154.62. What is Var(.97X + .03Y)?

Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

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

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Q: 2) Travel times by rail for a segment of the Eurail system are shown below with travel times in…

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Q: Suppose Cov(X,Y) = 546. What is Cov(0.13X, 0.41Y)?

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Q: (10) Solve the following equations (they may be simple, variable separable or can be made such with…

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Q: 5.₁ Given (1-1)y+ty' - y = 0. Show {t, e'} forms a fundamental set of solutions to the above…

A: Given homogeneous differential equation is(1−t)y″+ty′−y=0Let y1=tThen y1′=1 , y1″=0Therefore…

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A: The objective of this question is to find out the change in the Y-variable when the X-variable…

Q: Suppose we want to create something with a particular behavior. In each part below, find a second…

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Q: If Cov(X,Y) = 100, then what is Cov(8X,10Y)?

A: The objective of this question is to find the covariance of the two variables 8X and 10Y given the…

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: (BC Topic) (Technology Permitted) If the first five terms of the series Ž(-1)"+¹. n = 1 used to…

A: To estimate the magnitude of the error in using the sum of first five terms to approximate the sum…

Q: Solve the following initial value problems. dy 11. = te¯, y(0) = 1. dt 12. dy dt ey-t, y(0) = 2.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Solve the initial value problem y' − (cotx) y = 2cscx _ ; y…

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Q: Find the LU factorization of 8. That is, write A = LU where L is a lower triangular matrix with ones…

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Q: Obtain the differential equations associated with the following general sets of curves. If there are…

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

A: Given that  be a continuous function.(a) We need to prove that, if there exist  such that , then…

Q: 11. dy dt = te y, y(0) = 1. dy 12. = ey-t, y(0) = 2. dt

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Q: For function f(x), f(0) = 5, f'(0) = 4,f"(0) = 7, and f(0) = 10. Using the Taylor series expansion…

A: The Taylor's series of a function f(x) at x=a is given by f(x)=∑n=0∞f(n)(a)n!(x−a)n

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Q: packages of 9 water bottles, 5 first aid kits, and 1 security blanket a cost of $2.50. How many of…

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Q: For f(x,y)=x²-xy + y² - 5x+y find all values of x and y such that f(x,y) - f(x,y)0 simultaneously.…

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Q: Assume that N is a 2x 2 matrix such that N2 = 0. Prove that N is similar to one of the two following…

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Q: The city of Raleigh has 9200 registered voters. There are two candidates for city council in an…

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Q: Curve fitting problem: For the following set of points find a piecewise quadratic polynomial…

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Q: Verify that the given differential equation is exact; then solve it. 4 (27x²y³ +y4) dx + (27x³y² +…

A: Given differential equation is .We have to verify that the differential equation is exact and solve…

Q: A population of 60 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary…

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

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Q: Let A be a partially ordered set that has the least upper bound property. Then every nonempty subset…

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Q: Suppose Cov(X,Y) = 231. What is Cov(8.6X, 3.4Y)?

A: The objective of this question is to find the covariance of the two variables 8.6X and 3.4Y given…

Q: The differential equation +5d - 24y = 0 has auxiliary equation 2 m² +5m - 24 = with roots -8,3…

A: Consider the differential equation .Here initial conditions are  and .To illustrate the solution to…

Q: 2) If CCR is countable then prove that m*(C) = 0 using the definition of m*.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Obtain the general solution of the differential equation (e³ +…

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Q: Ross White’s machine shop uses 2500 brackets during the course of a year, and this usage is…

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Q: If Cov(X,Y) = 13, then what is Cov(.50X, 100Y)?

A: The objective of this question is to find the covariance of the two variables .50X and 100Y given…

Q: Determine whether each of the following is a unary operation on the given set. a. h(x) == on N b.…

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Q: If we were to use the method of undetermined coefficients on the following differential equation,…

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Q: Dans un système de planification souple on dispose d'indicateurs qui permettent de déceler le…

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Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

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Q: 2 K3 n² (n+1)² 니

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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: Find the solution of Yn+2 = -4Yn with yo = 1, y₁ = 4. Write the answer without using imaginary…

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Q: U.S. Trucking pays its drivers $40,000 per year, while American Trucking pays its drivers $38,000…

A: Given, thatU.S. Trucking pays its drivers  per year.American Trucking pays its drivers  per…

Q: Suppose Cov(X,Y) = 821. What is Cov(6X, 4.7Y)?

A: The objective of this question is to find the covariance of the two variables 6X and 4.7Y given the…

Q: Suppose Cov(X,Y) = 65. What is Cov(0.46X, 0.39Y)?

A: The objective of the question is to find the covariance of the two variables 0.46X and 0.39Y given…

Q: Find a 3 × 2 matrix A and has LU factorization where L is diagonal.

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Q: you did part a wrong. shouldnt there be 2 shifts? what happened to the shift from sin(3t+1)? why is…

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Q: In 2018, Haiti's average income was $868.34 US dollars. The exchange rate was 65.42 per US dollar.…

A: The objective of this question is to convert the average income of a person in Haiti from US dollars…

Q: Given y = ((x^2-1) (x+1)) / ((x-1) (x-3)) determine

A: Let's analyze the rational function y=(x2−1)(x+1)(x−1)(x−3) nullstep by step:a) Vertical Asymptote:…