Given 7x^2 - 6sqrt(3)xy - 13y^2 - 16 = 0 A new equation after rotation using  x = x'cos(theta) - y'sin(theta) and y = x'sin(theta) + y'cos(theta) becomes (x')^2/4 - (y')^2 = 1 Find the vertices of the conic in the xy-plane

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: Which of the following is the tangent plane to z = 2x² + y² at the point (1, 1, 3)? z = 4x + 2y z =…

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Q: For the listed functions A) through D), do the following: • Plot the function f(x) and its magnitude…

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Q: Solve the difference equation Yn+25Yn+1 +4yn = n² with initial conditions y(0) = 2, y(1) = −1.

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

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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: 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: Use Euler's method with step size h = 0.1 to approximate y(1.2) where y(x) is a solution of the…

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

Q: Question 1) Let ( be a simple closed curve that lies in a plane and let F= be a no-conservative…

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Q: Find the general solution of the given higher order differential equation. y''' - 9y'' + 15y' + 25y…

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Q: "(a) Let f be the real function on the interval [0, 1] given by f(x) = 0, when x = IT: = 0 when 0 0…

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Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)

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

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Q: Find a general solution to the differential equation using the method of variation of parameters.…

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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: Question 2: (a) Give the definition of the double root of a function and sketch the graph of a…

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Q: 2. y' 2y = 30e-³ty (0) = 1, y (0) = 0 y" -

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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: Suppose Var(X) = 42, and a = .92. What is Var(aX)?

A: Var(X) = 42, and a =0.92Var(aX)=a2Var(x)

Q: 1 Find the Taylor polynomial P3(x) for f(x) = 1+2x centred at a = 0, of 1 order 3. Give a bound |₁2x…

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

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Q: Suppose that Var(X) = 742.23, Var(Y) = 8890.5, and Cov(X,Y) = 2191.72. What is Var(.51X + .49Y)?

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

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…

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A: ParticularsABCInitial Cost100001500020000PV of Cashflows125001762121043Benefit250026201043Benefit is…

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

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Q: A city currently has 122 streetlights. As part of a urban renewal program, the city council has…

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Q: If E(X) = 65, then what is E(0.87*X + 4)? (Use two decimal places, ex: 12.34)

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Q: Find U2, A; and i=1 A; if for every positive integer i, a) A = {i, i + 1, i + 2,...}. b) A; = {0,…

A: Firstly, we will solve for the union of all the sets and then for the intersection.Two facts we need…