Find the probability of winning the lottery by selecting the correct six integers ( where the order does not matter, and repetition is not allowed) from the positive integers not exceeding 50. ( Use simplified fractions and/or commas as needed.)

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A: To prove: du,v=0⇔u=v for all u,v,w∈V

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Q: Consider the sequence defined recursively by a₁ = -2, a₂ = 2, an+1=-3an-1-4a. We can use matrix…

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Q: Prove that if A is infinite and ACB, then B is also infinite.

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Q: (c) h1,1+h3,1 12,1 5h3,1 h1,2+h3,2 h2,2 5h3,2 h1,3 +h3,3 112,3 5h3,3

A: Given: H=h1,1+h3,1h1,2+h3, 2h1, 3+h3, 3h2, 1h2, 2h2, 35h3, 15h3, 25h3, 3 We have to express each…

Q: matrix shape = (24, 23) 2) Compute the rank of the stoichiometric matrix using your own algorithm.…

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Q: Question 2. The osculating circle. A unit speed parametrisation of a circle in R³ may be written as…

A: we have to show that from the given problem, this circle has radius 1k(0)

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Q: 5. Use the Laplace transform to solve the following system: Sx"+y" = e²t, (2x' + y" = −e²t, x(0) =…

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Q: 58e8 42 +10e8t' Find the set of real numbers t for which S(t) converges. Write your answer in…

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Q: Problem #4: Let v₁ = (4, 1, 0, -1), v2 = (0, 1, 4, 1), and b = (1, 3,-1,-6). Let W be the subspace…

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Q: True or False? -27-39 in Z/3 O True O False

A: The integer modulo is defined as Z/(n) ={0,1,2,...,(n-1)} where n is positive integer . and  a = b…

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Q: Obtain the general solution of the following differential equations 5. xydx-(x²+3y²)dy = 0

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Q: 4 Which best describes the process used to factor a difference of squares? Create the first factor…

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A: Let  B, B' be the basis and A, A' be the matrices…

Q: B-8-5. Given show that G(s) @² s² + 25ws + 0²/ G(jw) - 12/2 25 =

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Q: Prove: If f is a polynomial on C, then the zeros of f' are contained in the closed convex hull of…

A: Given: f is a polynomial on C.To prove: The zeros of f' are contained in the closed convex hull of…

Q: Given: An = Determine: (a) whether (An) is convergent. 2567/2 42n 00 n=1 (b) whether Anis…

A: Given:An=256n/242n To Find:  a) Whether ∑n=1∞An is convergent. b) Whether An is convergent.

Q: Find the third degree Taylor polynomial of f(x, y, z) = xy2z³ at (1, 0, -1). ciuth degree Taylor…

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Q: Determine the inverse Laplace transform of the function below. e-2s 2 S +9 Click here to view the…

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Q: 6-7. Let R be the region above the x-axis bounded by x = y² – 2, x = 6 – y² and y = 0. 6. Find the…

A: By the answering guidelines for we are restrict to do only first question if  questions are given

Q: 1. Given two point sets: -A-M -4 - = X3 = = X₁ = y1 -H₁ an affine map x₁→y;;i = 1,2,3,4 is uniquely…

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Q: sis 30X 35x 2 (y¹0) e dydx

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Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

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Q: Compute the inverse Laplace transform of the following functions. -2s 2s³+3s²+2s+27 (s²+9) (s²+1)

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Q: Consider the initial value problem a. Find the eigenvalue X, an eigenvector ₁, and a generalized…

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Q: f(t)=e³¹; b) f(t) = cos(at); c)

A: We know  ℒeat=1s-aℒcosat=ss2+a2ℒtn=n!sn+1

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A: There are three questions in one question First part Let f and g be any two element of W,  i.e.,…

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Q: -8 1 V₁ = These vectors form a basis for W, the subspace of R4 that we encountered in Activity…

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Q: Let L be the line with parametric equations x = 1-t y = 3-3t z = t Find the vector equation for a…

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Q: Consider the following graph. • V(G) = {v1, v2, v3, v4} e(G) = {e1, e2, e3, e4, e5} E(G) = {(e1,…

A: Given Data: Let us consider the given data, VG=v1,v2,v3,v4eG=e1,e2,e3,e4,e5EG=e1,v1,v2,e2,v2,v3, e3,…

Q: 1. Consider the region enclosed between the graph of f(x)=x²-lnx and the x-axis for 1 ≤x≤5. (a) Find…

A: Introduction: A Riemann sum is an approximation of the area under a curve by dividing it into…

Q: b) After completing the derivatives of the various functions in part 1 a) above, copy and complete…

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Q: Let y = x₁ = [7 5 10 and ū= -21 -4 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and ₂…

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Q: Please explain if the given Statement is true or false Using the rule of inference; thank you. 1,…

A: The given statement is, ∃xF(x) ∧∃x G(x)    ∴∃xF(x)∧G(x). We have to check whether the above…

Q: . For A= π/4 0 0 π/2 0 0 0 ㅠ calculate (a) A-2, (b) TI - A TI+A and (c) e¹A.

A: The given matrix A=π4000π2000π. We have to calculate the values of A-2, πI-AπI+A, eiA.

Q: 51⁰ 45⁰ Determine the value of to the nearest degree if cot >= 2. 27° 63⁰ c. d.

A: Solution:  Given  that  cotθ=2 We  have  to  find  the  values  of  θ in  nearest  degree  such…

Q: A bank features a savings account that has an annual percentage rate of r = 3.3% with interest…

A: Michael deposits $3000  at an interest rate of r=3.3% compounded daily St=P1+rnnt

Q: O-16 0-9 -15 Select the values that make the inequality b-8 true. (Numbers written in order from…

A: Given: The given number line is shown below. To find: We have to select the values that make the…

Q: Shade the Venn Diagram for the set (CnB') UA Use the graphing tool to shade the regions. Click to…

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Q: Let ū = 2 -3 and let W the subspace of R4 spanned by u and . Find a basis of W, the orthogonal…

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Q: Discret math  if it is rain today, i watch a movie. i did not watch a movie today therefore it did…

A: The given statement is: If it is rain today, i watch a movie, i did not watch a movie today…

Q: Could you please put final answer if its true or false the statement thank you

A: ∀xFx→∃yGy, Fa     ∴∃xGx