Use the expected value properties to obtain the E[Y] of the following system : y = 3x + 1 , where E[X] =3

Q: culate the flux of the vector field F = (yz, xy, 3) through the elliptical cone S given by the…

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Q: Find the value of k so that the line containing the points (1,6) and (k,0) is parallel to the line…

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Q: H.W Salve the following equat.i.9.12.......... ... x.d.y= 3y.dx... 2. B. ch. ſcr. 3... ſe ) de

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Q: Define the following a) span {v₁, v₂,v}, b) {v₁, v₂,vis linearly n dent, mation. m c) span {v₁, v₂,…

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Q: f(x, y) = x²y - 2x² - y² + 4

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Q: Jim has received scores of 70 and 73 on his first two 100 point tests. What score must he get on his…

A: Since average of three numbers is equal to the sum of the number divided by 3. Using this we have…

Q: -1 (b) Find the volume formed when the region between the curve y= = tan x and the lines y=x 2 K K ㅠ…

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Q: (c) f(x) = x³ + x³ (d) f(x) = 2+1

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Q: 8. Solve a) 4x³ +16x² +9x-9=0 b

A: Given polynomial equation is: 4x^3+16x^2+9x-9=0. We have to solve the given equation.

Q: Answer the following. a) For sets A, B, C justify the following formula: n(AUBUC) = n(A) + n(B)+n(C)…

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Q: The Legendre polynomial of degree 3 is P3(x) = (5x³-3x). Derive the Gaussian Quadrature rule…

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Q: LESSON 9 A quantitative look at the fish population Now you'll study the same fish population as in…

A: The given fish population relation is p'=p-0.2p2-0.7. (a) If p(0)=6 (i.e. 6000Kg) Then, To Find:…

Q: There are two bags each containing 10 books all having different titles but of the same size. A…

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Q: Evaluate the double integral. 1165x² 4y +1 dA, D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²}

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Q: Prove the following statement using a direct proof. If x and y are rational numbers, where y # 0 and…

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Q: k=1 5. Find a recurrence relation for the number of ways a person can climb a set of n stairs if the…

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Q: 4) (i) Find the acute angle (in degrees) between the following two planes: 8 x + 6y + 12 z=24 and…

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Q: (a) find the orthogonal complement S⊥, and (b) find the direct sum S⊕S⊥. S is the subspace of R5…

A: It is given that S is the subspace of ℝ5 consisting of all vectors whose third and fourth components…

Q: HW Solve the following qua.t.i.9.1.2.............. ......................

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Q: A rod AB, hinged at A and at- tached at B to cable BD, supports the loads shown. Knowing that d =…

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Q: Question 2 Use 8-bit two's complements to compute the sum. 89 + (-55)

A: This is a problem of counting and finite math.

Q: Use the method for solving equations of the form dy dx = G(ax + by) to solve the following…

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Q: Consider the polynomials A+ Bx+Cx². Note that the parabola W₁ = 2 (x² + x) equals one at x = 1 and…

A: Solution attached in detail in step 2.

Q: 2) (i) Find the direction cosines for v= he sum of their squares equals 1. (2,3,4). (ii) Verify that

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Q: 'Find a function f such that Vf = 4x²i + 3y²j. f= Use ƒ to evaluate: [(4x²i+ 3y²j) - dr = Σ + K Σ…

A: Line integrals independent of path. Let F(x,y,z) be continuous in region R of space. Then the line…

Q: OYCEL 91 no Let S = $0,13. Explain function 2013 +22 is invertible. Noin Gips

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Q: (a) How large do we have to take x so that 1/x² < 0.0001? (b) Taking r = = 2 in Theorem 4, we have…

A: We know the definition of limit at infinity, If for all ε&gt;0 there exists N&gt;0 such that x&gt;N…

Q: Use the method for solving homogeneous equations to solve the following differential equation. y(In…

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Q: Let A, B, and C be subsets of a universal set U and suppose n(U) = 100, n(A) = 30, n(B) =30,…

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Q: Suppose s and t are distinct natural numbers. Show that lcm(s, t) + lcm(s+1, t+1) > 2st/(sqr(|s −…

A: Given: s and t are distinct natural numbersTo prove: lcm(s, t)+lcm(s+1, t+1)&gt;2sts-t

Q: COS 1,sin 2t) and R(0) = (1,0.–1). Let R be a vector function such that T(t) = (cos 2t, 2/2, Find An…

A: Given : T→=32cos2t , 12 , 32sin2t, R→0=1 , 0 , -1. To Find: The equation of the osculating plane,…

Q: Calculate ∪ ∞ n = 1 An and ∩ ∞ n=1 Anywhere for each n ∈ N the set Anis defined as: (x) An= […

A: Given that An=[3n,5n+2n)∪10+n We have to find∪n=1∞An and ∩n=1∞An

Q: Let A be a subgroup of G. (a) Prove that A's identity element is also G's identity element. (b) Show…

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Q: Define stiffness matrix.

A: We have to define : Stiffness Matrix.

Q: Fill in the blank for the following question In base 13, the number type your answer... precedes (is…

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Q: Draw a graph that has the given adjacency matrix

A: The given adjacency matrix, 0100000110000010 We have to sketch the graph for the adjacency matrix.

Q: Set up, but DO NOT EVALUATE the integral to determine the length of the portion of the spiral r = 0,…

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Q: Let A and B be sets. Prove that if A C B, then P(A) ≤ P(B). State the converse of this and prove or…

A: Given : Two sets A and B. To Prove : PA⊆PB if A⊆B. Also prove its converse.

Q: Kindly help me solve this question,show full and clean solution thank you.. Note: Lesson about…

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Q: The bar orders a 48 bottle case of wine, if a bottle is 2/5 of a gallon, and a pint of this wine…

A: Given, bar orders a 48 bottle case of wine. 1 bottle of wine = (2/5) gallon Weight of 1 pint  of…

Q: 6. Calculate the following (we'll end this homework with an easy one, of course, in the future we…

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Q: HW salve the following equat. l. 9.1.2....... dx.dy. By.dx......... ... ... ...) Die..

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Q: Find the volume of the given solid. enclosed by the paraboloid z = x² + y2 + 1 and the planes x = 0,…

A: To find- Find the volume of the solid that is enclosed by the paraboloid z = x2 + y2 + 1 and the…

Q: When reducing [A | I], a row in the A part consists of all zeros. What does this indicate about A-¹?…

A: We know that a matrix A is invertible if and only if A is non singular i.e. det(A)≠ 0

Q: Explain Differentiating Lagrange polynomialsis tedious, what other formula to we use instead to find…

A: To Do: Explain differentiating Lagrange polynomials and also explain what other formula we can use…

Q: The temperatures of component A and component B in a heat exchanger vary in a linear fashion as…

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Q: What is the partial-fraction expansion of -(s^2+s-1)/s(s+1)(s+2)? (ILO2) Y(s) = -(s² + s-1) s(s+…

A: Instead of going for a laborious method we use subtle tricks to solve the problem. The solution is…

Q: 3) Use Newton's Method to find a solution to the equation sin x = cos x - x correct to 6 decimal…

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Q: Problem 5. Find the quadratic approximation to y = defined implicitly as a function of x by the…

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Q: Write a delta-epsilon proof for the giving limits. Follow the structure of 8- & proof outlined in…

A: We have to provide the epsilon-delta proof for limits in each part. a…