The Big Game Lottery consists of selecting five numbers from 70 and to pick the Big Game number by selecting one number from 20 available. How many different possibilities are there in the Big Game Lottery?

Q: Orthogonally diagonalize the matrices by finding an orthogonal matrix Q and a diagonal matrix D such…

A: Given:  A=2001010000101002To find : Orthogonal matrix Q and Diagonal matrix D such that QTAQ=D.

Q: Find (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 4, x ≥ 0} Round your answer to four decimal places.

A: Given integral is  ∬D4x+5ydA The region D is given by D=x, y | x2+y2≤4, x≥0  The double integral is…

Q: 2) Prove that product or any three consecutive natural numbers is divisible by 6.

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Q: Find the absolute maximum and minimum of the function f(x, y) = x² + y² subject to the constraint x²…

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Q: 49. The Laplace transform L{e} exists, but without finding it solve the initial-value problem y" +9y…

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Q: Use the theory of Lagrange multipliers to find the point (a,b) on the curve y = ex with the minimum…

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Q: > Consider the point P(2,-1,-4) and the vectors a = and b =. Question 2 (a) Find the unit vector u…

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Q: of complex numbers C a vec

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Q: дz дz Solve the Lagrange equation: x(2² - y²) 0% + y(x² - z²) 1 = z(y2 − x²) ?х ду

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Q: The inductive step of an inductive proof shows that for k ≥ 4, if 2k > 3k, then 2k+1 ≥ 3(k+1). In…

A: We will check the validity of all given steps, then we can decide in which step we used the given…

Q: Find the coordinates of the center of mass of the following solid with variable density. The…

A: We need to find the coordinates of the center of mass of the following solid with variables density.…

Q: Solve the system of equation below using Gaussian elimination method.

A: Introduction: We may state that the provided system is a consistent independent system if there is…

Q: two common cereals are e of these two cereals is t xactly 295 calories, 9 go drate, and 8 g of fat.

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Q: Find the mass of the right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1,…

A: Given that the density function of the right pyramid is fx, y, z=x2 with vertex at 0, 0, 7 and the…

Q: Draw the graph of the given rational function. T(x)= = (x-6)³ x² - 36

A: Given rational function is  T(x)=x-63x2-36           (1)  Put x = 0 then T(0) = -63-36=6…

Q: OUR TEACHER PRACTICE ANOTHER A graphing calculator is recommended. Use Newton's method to find all…

A: The given polynomial is, f(x)=x5-5x4+x3-x2-x+8. To Sketch: the graph of the polynomial using…

Q: Draw the graph of the given rational function. S(x): = x³ + 27 x² +9

A: s(x)= (x3+27)/(x2+9)

Q: A survey of athletes revealed that for their minor aches and pains, 28 used aspirin, 52 used…

A: Let A represent asprin, I represent ibuprofen. The number of athletes who used aspirin are 28, the…

Q: Compute the total and annual returns on the following investment. Nineteen years after purchasing…

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Q: 1. 7,6238 into Babylonian

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Q: A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 42…

A: We will find force on a horizontal slice and then integrate it to find force on entire gate

Q: I am thinking of a three-digit number. All the digits is odd, the ten's digit is a perfect square,…

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Q: √ √ - 6(r cos(0))rdrd0 D = {(r, 0) | 0 ≤ r ≤ 5 + sin(0), 0π ≤ 0 ≤ = π}. Hint: The integral and…

A: ∫∫D6r·cosθrdrdθD=r,θ| 0≤r≤5+sinθ,…

Q: At the end of year 4, the account was valued at $2915.17. At the end of year 5, the account was…

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Q: Given P₂={a+at+a₂t² B = {1-t², t+t², 2-t-t²} and E= {1, t, t²} [1] Show that {1-12, t+t², 2-t-t²}…

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Q: Identify the vertex and the axis of symmetry for the parabola defined by the quadratic function ƒ(x)…

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Q: Find the centroid of the region bounded by the given curves. y = x³, x+y = 30, y = 0 (x, y) =

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Q: Find the volume of the solid that lies under the paraboloid z = 7² - x² - y² and above region 1 R =…

A: Volume is the amount of space occupied by the closed surface. In this problem, region E is bounded…

Q: For two n × n matrices A and B, is it true that the eigenvalues of A + B are the sum of the…

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Q: b) Babylonian to base 9 <TTTT/<<T/<TYY

A: To convert the following numbers from Babylonian to base 9.

Q: 1D.  State the slope of the tangent line by substituting x = 2 into the derivative f'(x).  State the…

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Q: Let A CR be the set of integers, viewed as a subspace of the reals, and let X be the quotient space…

A: please find the attached image

Q: Л The path r(t) = (6 sin t) i + (6 cos t) j describes motion on the circle x² + y² = 36. Find the…

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Q: Let A and B be n X n matrices. Prove that the sum of all the eigenvalues of A + B is the sum of all…

A: To Prove: (i) sum of all eigenvalues of A + B is equal to sum of all eigenvalues of A and B…

Q: Draw the result of translating the shaded shapes in the coordinate plane below ac- cording to the…

A: a.The required result is as follows:

Q: 4. (3x - y + 6) dx +(6x - 2y - 6) dy = 0 [l Answer: 7x + 14y + 18 ln (21x - 7y - 12) = C.

A: Solution of the differential equation by substitution method

Q: Draw the graph of the given rational function. 1(x) = x-1 x² - 8x + 7

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Q: Compute (a) the characteristic polynomial of A, (b) theigenvalues of A, ( c) a basis for each…

A: It is given that,  A = 120-1-11011 a) Find the characteristic polynomial of A. b) Find the eigen…

Q: Given P₂ = { a+at+at² | ª, ª, a are reals } B= {1-1², t+t², 2-t-t²} and E= {1, t, 1²} [1] Show that…

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Q: Calculate the integral of f(x, y) = x − y over the region x² + y² ≤ 81, x + y ≥ 9 by changing to…

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Q: 14. The graph is a model for the amount of gasoline in the tank of a large cargo truck during a day…

A: Gasoline is fuel used in internal combustion .

Q: can you solve it using simplex method?

A: The solution of the linear programming problem using simplex method is determined as shown below.

Q: Find bases for the four fundamental subspaces of the matrix A as follows. N(AT) = nullspace of AT…

A: We have to find the  four fundamental subspaces of the matrix A

Q: Compare and contrast the geometric proofs of the quadratic formulas of al-Khwarizmi and Thabit ibn…

A: Thābit ibn Qurrah made important discoveries in algebra, geometry, and astronomy. In astronomy,

Q: 12. f = 4y²- Z

A: This is the question from multivariable calculus.

Q: due/35893. J Student Central World-SY22

A: Here, in the question, it is been discussed about the puzzles and riddles. We have to find 5 puzzles…

Q: For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. A = 3 2 - 12…

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Q: Find the vectors whose lengths and directions are given. Try to do the calculations without writing.…

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Q: 3827 A = 2 -1 5 6 15 17 8 1 5 1 3 7 41005 5 2 7 18 9 5 6 B= 5 10 9 8 7 25282 SOLVE the following…

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Q: ASTU has vertices S(-6-3). T(5.4), and U(7.-4). Write the equation of the perpendicular bisector of…

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