Suppose Var(X) = 83, and a = .57. What is Var(aX)?

Q: Recall the equivalence relation defined on Z by mn whenever m - n is divisible by 3. Let C be the…

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Q: Consider the differential equation y"-12y+36y = 0. 6x 6x (a) Verify that y₁ = eo and y2 = xeº are…

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Q: You want to use a random graph G(N, p) with N = 10³ to best approximate a Poisson random graph with…

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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: If f (x,y) = 3x² +2y² - 4y + 1 (a) Find fx, fy, fxy, fyx (b) Show that the function has only one…

A: Given, a function:It is required to find the following:a) Partial derivatives:  and .b) Stationary…

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

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Q: Prove that. lim n→∞ n q^ = 0 if 1a| < 1

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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…

Q: Determine which of these relations are transitive. The variables x, y, x', y represent integers. A.…

A: Note: As multiple questions have been posted, so only A is solved according to QnA guidelines.…

Q: If Cov(X,Y) = 404, then what is Cov(12X,19Y)?

A: The objective of the question is to find the covariance of the two variables 12X and 19Y given the…

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: Find the general solution of the given second-order differential equation. y'' + 10y' + 25y = 0

A: The objective of this question is to find the general solution of the given second-order homogeneous…

Q: Break-Even Analysis The table below contains price-demand and total cost data for the production of…

A: The given table…

Q: 1. Solve the following differential equations (D.E) 1. y' + y2y = 0, y (0) = 1, y' (0) = 4 2. y' -…

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

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Q: DATA TABLE Number of books 1 2 3 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Number of Height of…

A: How to find :Now use this formula to find .

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

A: The objective of the question is to find the covariance of 0.13X and 0.41Y given that the covariance…

Q: Solve the following linear program using the simplex method by using slack variables to get a basic…

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

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Q: Conduct two iterations of bisection method to estimate the root of the equation x¹+x-3=0 = with…

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Q: Suppose the relationship between Y and X is given by: Y = 51 + 6X By how much does Y change if X…

A: The objective of the question is to determine the change in the value of Y when X increases by 1…

Q: What matrix E puts A into triangular form EA = U? Multiply by E-¹ = L to factor A into LU: A E L = U…

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Q: I. Use the composite midpocht rulo to approximate. 2 a) Sendox - For all 4 b) (3x ² √ x² +1 dx thuce…

A: Let h=b−an then the mid point rule is given by ∫abf(x)=h∑i=0nf(xi).Here, xi=xi−1+xi+12 is the mid…

Q: A long year-end status report for work is 153 pages long. You need to print 14 copies for a meeting…

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Q: Find the domain of definition for each of the partial functions. a. f from R to R defined by f(x) =…

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: dy dt . Solve the initial value problem = y², y(0) = = 3 using separation of variables. On what time…

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Q: ObservationFemale Married Loan 1 2 3 4 5 0.75 0.25 0.5 0 0.33 1 1 1 0 0 0 1 1 1 1 0 Mortgage 1 1…

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Q: Suppose the avg score on Midt1 is usually 94, and on Midt2 is 74. If your final grade is weighted…

A: The objective of this question is to calculate the expected final course grade given the average…

Q: Solve the following D.E: 2. y' - x²y² = x²

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Q: ル形式で段階的に解決 ありがとう!! E STEP BY STEP IN DIGITAL FORMAT ine the differential equation whose general…

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Q: For this problem enter matrices using bracket notation. So the matrix 2 3 -1] 7] would be entered as…

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Q: Suppose the relationship between Y and X is given by: Y = 4 + 3.2*X + error  By how much does the…

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

Q: 3 Given then, the I.E. U(n) = 3n+ 3 W 2 for the sol" is. the sol" is Volienna som is. y z 3n + n 4…

A: We solve the given integral equation by taking Laplace transformation both sides.

Q: Let ECR. Prove that m*(E)= 0 implies that E is Lebesgue measurable.

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Q: If f (x, y) = xy² + arctan(cos x), then fyy is 00 2x 2xy y² + 1 1+ cos²x O None of the above.

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Q: Consider a process that makes LED lamps. The process starts with a unit cost of $30 for the first…

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Q: Some things you might consider are: 1. Do you have a clear idea of your future self? 2. If not, what…

A: The question is asking for a self-reflection on one's future aspirations, interests, and…

Q: → → → → → If for some subspace HCR and list of vectors V1, V2, V3, V4, V5 € R", one has → Span{V₁,…

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Q: A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.03³ +0.5t²…

A: The units of S'(13) will be "millions of dollars per month."So, last option is trueExplanation:Step…

Q: You need to buy some chicken for dinner tonight. You found an ad showing that the store across town…

A: Given:Store across the town sells the chicken for $3.19 a pound.Neighborhood store sells the chicken…

Q: 5. dy dt = (sin t)y + 2 sin t.

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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: 2.- Find the total charge within the following volume Pv=102²e-0.1x senny-15 x 52, 0≤ y ≤ 1, 3≤ z≤…

A: Given Information:The volume charge density is given as .The region is provided as .To find:The…

Q: A damped spring mass system is modeled by the initial value problem 8y′′ + y′ + 8y = 0, y(0) = 2,…

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Q: The percentage of female high school graduates who enrolled in college is given in the table below.…

A: To find the cubic regression model, we need to use the given data points to calculate the…