(9) Solve the following diserental equation dy dx 2 3+y 3.x 3-y = (9x - y²x), y(0) = 0 Answer: = e

Q: Let (an) be an unbounded sequence. Show that it has a subsequence (bk) = (ank) 1 such that lim = =…

A: Given, an  unbounded sequence.It is required to prove there exists a subsequence  such that .To…

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

A: Predicted total sales 10 months from now are $103 million. Explanation:Predicted total sales 10…

Q: Find the inverse Laplace transform of F(s) 4 S-2 + 7s - 18 s² +9

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Q: 1. Obtain the differential equation whose general solution is the family of circles (In the first…

A: We obtain the differential equation whose general solution is the family of circles (In the first…

Q: Use the method of Lagrange multipliers to find the function y(x) that makes the functional 2..2…

A:

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

A:

Q: Solve the given differential equation by undetermined coefficients. y'' - 12y' + 36y = 24x + 5

A: We solve the given differential equation by method of undetermined coefficients.

Q: b)

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

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

A: The objective of the question is to determine whether the function f(x) = (x, 8x², − 3x) is a linear…

Q: If Cov(X,Y) = 100, then what is Cov(5X,5Y)?

A: The objective of this question is to find the covariance of the variables 5X and 5Y given that the…

Q: Reduce A and B to their triangular echelon forms U. Which variables are free? [242] [1 2 2 4 6 (a) A…

A:

Q: 2. At time t the displacement from equilibrium, y (t), of an undamped spring-mass system of mass m…

A: As per the question, we are asked to solve the initial-value problem for an undamped spring-mass…

Q: ind the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors E₁, E, and…

A: We have to given:  Thus, the exact integral value is 52.Let us assume .

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: 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: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

A: The objective of the question is to find the number of speeding tickets that will be issued in the…

Q: If Cov(X,Y) = 830, then what is Cov(10X, 1Y)?

A: The objective of this question is to find the covariance of the variables 10X and 1Y given that the…

Q: The upward velocity of a rocket can be computed by the formula below. Compute for the time t at…

A: The objective of the question is to find the time 't' at which the velocity of the rocket is 1450m/s…

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

A: 2204Explanation:At break-even post:Cost = RevenueC = p * x So, we need to find both functions…

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: 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: 1. Consider the Sturm-Liouville equation dz (p(x)du) — q(x)u + \p(x)u = 0 dx on a 0 and q > 0 for a…

A: Answer Explanation:Approach to solving the question: Detailed explanation: Examples: Key references:

Q: +(x-1)+(x-1)+qy-2)+ Expanding Equation (3) and simplifying, we obtain the following equation…

A: Equation (3):We have to prove equation (4) which is:Formula used:here, , and .Therefore,

Q: Calculate the average (mean) of the data shown, to two decimal places x 29.2 4 9.9 5.9 21.4

A:

Q: 1 1+e 1 E +3kT-E)/kT 1+e(Ec+3kT-E₁) /KT 1+e 1+e -1 - (E. +3kT-E/KT 1 -(E+3kT-E₁\/kT• e(Ec +3KT-E,…

A:

Q: Suppose Cov(X,Y) = 725. What is Cov(0.72X, 0.62Y)?

A: The objective of this question is to find the covariance of the two variables 0.72X and 0.62Y given…

Q: Explain why it is problematic to include a constraint such as the following in an LP model for a…

A: In blending problems, we're usually figuring out how much of different ingredients to mix to get the…

Q: Let A = [[3,1,1,2,2],[-3,-2,4,2,2],[-5,5,4,-1,-2]]  Give a nonzero vector x in the nullspace of A.

A:

Q: Consider a random graph G(N, p) with e4+1/N² 3N P = 2₁ In the limit N → ∞ the average degree (k) is…

A: The random graph G(n,p) with

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: Let o be the surface 4x + 5y +9z= 7 in the first octant, oriented upwards. Let C be the oriented…

A:

Q: dy dt 4y - y², Without solving for y(t), find the steady states of the logistic equation and…

A: Graph:         .

Q: Suppose the relationship between Y and X is given by: Y = 1million + 56.43*X + error  By how much…

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

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: Use Stokes's Theorem to cralute IJs CumF. d5 (a) F(x, y, z) = e²4 Coszî + x²2₁ + xy ₁², S = the…

A:

Q: Solve the following D.E: 1. = 6y²x ‚y = dy dx 1 25 , x = 1

A: We solve given differential equation by using method of separation of variables.

Q: Jane Corporation produces model toy cars. Each sells for $27.66. Its variable cost per unit is…

A: Selling cost of each toy = $27.66Variable cost per unit = $15.13Fixed cost = $350,840

Q: The values of a period 2 function f(t) in one full period are given. Sketch several periods of its…

A:

Q: 1) Find the degree of each vertex in the following graph

A: Degree of vertex:-The number of edges incident on a vertex .The given graph

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: Find the explicit particular solution of the differential equation for the initial value provided.…

A:

Q: show the steps to get the answer to both of these questions

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: If Cov(X,Y) = 839, then what is Cov(11X,16Y)?

A: The objective of the question is to find the covariance of the two variables 11X and 16Y given the…

Q: Let f: R → R be defined by f(x) = 1 + x³. Assume f is bijective and use the method from class to…

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Q: Let ← || 8 N -6 Plane 2 and V₂ = 12 3 -9 then the geometric description of Span {V₁,V₂ } is A set of…

A:

Q: Evaluate the definite integral 2 S/-x²+4/dx -1

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Q: 1, t, t2, t3,   , tn     where  t ≠ 0,  satisfies the given recurrence relation (but not necessarily…

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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…

Q: Solve the following D.E: 3. 9yy' + 4x = 0

A: Given a differential equation,9yy′+4x=0 , where y′=dydxyou have to the solve above differential…