Given the vectors Ã= − a₂+5a - 3a B=11a -0.5a +2.5a Evaluate the following |A|(2a + B)

Q: Show that an equation x²-x-1=0 can be written as follows: (a) x: x 8₁(x) x x² + x + 1 (b) x=1+-…

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Q: Let F = (7z+7x4) 7 + (3y + 2z + 2 sin(14)) 7 + (7x + 2y + 3e²¹ ) k. (a) Find curl F. curl F = (b)…

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Q: Determine the form of a particular solution for the differential equation. Do not solve. y" -y=tet +…

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Q: 3 • / (√x ² − 21 2² cos(3³) dx + ( xy² + x² + x³y² sin(y)) dy where C is the boundary of the region…

A: we have to find the line integral using the Green's theorem…

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Q: Given (1+x²)y" + 2xy' + 4x²y = 0. Without solving the ODE, determine the lower bound for the radius…

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Q: Scores of students. Marks 21-30 31-40 41-50 51-60 61-70 71-80 Number of Students 6 15 22 31 17 9

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Surface area using an explicit description Find the area ofthe following surfaces using an explicit…

A: The paraboloid z=2x2+y2, for 0≤z≤8. We have to find the area of the given surface.

Q: 6. Suppose Xxi and V(X) = 8. Find E(X³)

A: Given X is chi-square distribution with k degree of freedom.

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Q: Determine whether the set, M2,5 with the standard operations, is a vector space. If it is not, then…

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Q: Consider the series Σ(n+1)72n+1 In this problem you must attempt to use the Ratio Test to decide…

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Q: Utilize the fourth order Taylor polynomial for e7x at x=0 in order to approximate the value of e1.2…

A: The fourth order of the Taylor Polynomial T4(f; c)(x) to function f(x), based at x=c, is:…

Q: Find the volume of the solid that lies under the paraboloid z = 49x² - y² and within the cylinder (x…

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Q: How many functions are there from the set {1,2,3} to the set {7,8}. Enter your answer =

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Q: Find all values of k for which the following matrix is singular. Please provide full explanation of…

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Q: Set E contains all positive even numbers less than 10. How many subsets does E have?

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Q: You are performing a two-tailed matched-pairs test with 35 pairs of data. If α=0.1α=0.1, find the…

A: Here We are performing two tailed matched pairs  With n=35 pairs Then degree of freedom i.e.…

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Suppose x^3 = 1 (mod 41). Show that x = 1 (mod 41).

A: Given that: x3≡1mod 41. We have to show that x≡1mod 41.

Q: Show that if p = q + 4a (p and q are odd primes), then (p/q) = (a/q).

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Q: f(x) = e the zeros to factor f(x) over the real numbers. 4. x45x³ + 3x² + 19x - 30 slo

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Q: 4 α 1 Find all possible integer values of a and B so that the matrix A = 2B 5 4 is strictly…

A: Strictly Diagonally Dominant Matrix: A square matrix A is said to be a strictly diagonally dominant…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line y = 6.…

A: V=π∫outer radius2-Inner radius2dx   =π∫026-3e-x2-6-32dx   =π∫0236-36e-x+9e-2x-9dx…

Q: Assume C is a circle centered at the origin, oriented counterclockwise, that encloses disk R in the…

A: Given: C is circle centred at origin , oriented counterclockwise, that encloses disk R in the plane…

Q: If AB = 0 then the column space of B is contained in the _ of A. Why?

A: Given: AB=0 . To do: Column space of B is contained in __ of A and why.

Q: c) How many use both Facebook and text, but not email? Blank 3

A: (c) Given number of student use text 625 Number of students use both Email and text 550 Number of…

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Q: Practice Identify y-int, x-intis), axis of symmetry, vertex from the following equations. Then graph…

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Q: Question 2 The region defined by the inequality a2 + 2xy + 2y2 ≤ 4 is the interior of an ellipse: -2…

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Q: Let C₁ be a curve defined by the vector function R(t) = √2 costi+ sint j + sint k a) Find the moving…

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Q: Proof that Cauchy's and D'Alamberts criterium gives same result. (Infinity series)

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Q: Prove if is an eigenvalue of an invertible matrix A with v as a corresponding 1 eigenvector, then λ…

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Q: Evaluate the triple integral I = = ≥ 0, y ≥ 0, z ≥ 0. A. I = ㅠ 20 B. I = T15 C. I = 0 E. I = 15 77…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Given a differential equation, 1-x2y''+2xy'=0. Divide the above differential equation by 1-x2.…

Q: (a) Find the eigenvalues and eigenvectors. (b) Classify the critical point (0,0) as to type, and…

A: The system of differential equation given is as follows: dxdt=1-44-7x (a) We are asked to find the…

Q: Identify y-int, x-intis), axis of symmetry, vertex from the following equations. Then graph and…

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Q: Suppose x and y are real numbers and x ∗ y = 12. Then x ̸= 5 and y ̸= −2. (a) What’s wrong with…

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Q: 1 2 3 4 5 6 7 8 9 10

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

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Q: Say whether the following function is injective, surjective, bijective, or none of the above (note:…

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Q: w is the mathematical translation of the sta e their sum." ? =(x+y) =+y) =(x+y) y)

A: Let x and y be two numbers. Suppose S=x+y(Sum of x and y)  and S'=x-y (Difference of x and y).

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: If two rotation quaternions are p = [0.866, 0.162, 0.382, 0.279] and q = [0.924, 0.207, 0.110,…

A: The multiplication of two quaternions p→=p0+p1i⇀+p2j⇀+p3k⇀ and q→=q0+q1i⇀+q2j⇀+q3k⇀ is given by…

Q: 2. What is the degree of f=(20x+1)(5x+1) in ℤ_5[x]? Type only the numerical value if it is defined…

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Q: Prove that if A is invertible, then 1 det (4) det (4-¹) = -

A: We have given that a square matrix A is invertible. To show that detA-1=1detA. We know that an…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y =…

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Q: Use either Stokes' theorem or the divergence theorem to evaluate each of the following integrals in…

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Q: 2. Let T: R2 () - ()₁ = () = G). Let S R2 R2 be the linear transformation that scales vectors in the…

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Q: A projectile is shot from the top of a building 96 ft high from a gun at an angle of 30° with the…

A: Giventhat: Height (h) = 96 ft Angle (theta) =30° Muzzle speed =1600 ft/sec Findout the position…