lege Algebra by Exc

Q: Find the volume of the colid obtained by rotating about th bounded by y=2x² axu the region and yo

A: First we plot the curves and identify the region which is to be revolved about y-axis. at…

Q: The exponential model A-320 700241 describes the population, A. of a country in millions, t years…

A: We have given  Exponential model A = 320.7 e0.024t Where t is time in years  We have to find the…

Q: Find the solution to the following linear programming problem using the simplex method Max…

A: MAX (Z) = 4x1 + 3x2 + 2x3 subject to :     3x1 + 2x2 + 5x3 ≤ 23         2x1 + x2 + x3 ≤ 8…

Q: Use technology (Excel or another spreadsheet program, a graphing calculator, etc.) to evaluate…

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Q: Find e for A = 1 -1 1 2 34 002

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Q: 3. Verify that u = e cos x is a solution of + 8² = 0

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Q: QUESTION 2 Determine whether W = {(a,2,b)la, b = R} is a subspace of R³.

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Q: Determine whether the set [p., pa, p3] is linearly Independent in Pa, where pi= 3+x+3x²+4x3 Pa = 4+…

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Q: 1. Let V be the set of all 2 x 2 matrices 4- such that the product abcd =0 with standard operations…

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Q: Find the radius of convergence for the given power series: Σ(43) ta tanhn n=o

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Q: In a vector space V, prove that Ov=0 for all ve V.

A: This quedtion from topic vector space of linear algebra.

Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: (B) Solve the following differential equation: 3y cos 3x dx - sin3x dy = 0

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Q: Find the moments My and My about the x-axis and y-axis, respectively. 306. R = {(x, y)|9x² + y² ≤ 1,…

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Q: Prove using Mathematical Induction that: The sum of the squares of the first n positive integers is…

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Q: Let A be a 2 x 2 diagonalizable matrix. 3et+ ecit If is the solution to the system ở' (t) = Ax(t),…

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Q: (d) 7 3 6 دیا -2 -4 0-2 -2 -3

A: To obtain the eigenvalues and eigenvectors of the matrices.

Q: Solve the given initial value problem. y" + 4y' +29y=0; y(0) = 4, y'(0) = -6 y(t) =

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Q: Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(1,5,0), C(0, –…

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Q: In Exercises 41 to 62, perform the modular arithmetic. 1. (9+15) mod 7 3. (5 +22) mod 8 2. (12+8)…

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Q: 3. Consider the probability density function of a continuous random variable X f(x) = { − ³x + 1≤x≤4…

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Q: Determine whether the given linear operator/matrix is diagonalizable. (a) T: R³ → R³ with T(1, 1, 1)…

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Q: , just a correction that it's ψ121 not ψ112.

A: Solution

Q: Press on this Desmos link, https://www.desmos.com/calculator/euqdx7iaxr and follow the directions to…

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Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z)=-3ry-ly:j-Szak…

A: To find- Use the divergence theorem to calculate the flux of the vector field F→x, y, z = -3xyi^ -…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: The sphere shown below has radius 12 meters. }x X We are trying to find the volume by making…

A: The radius of the sphere is given as 12 meters. The horizontal slices are made in the sphere x…

Q: matrix but not necessarily in natural order is called *       Unit Matrix       Scalar Matrix

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Q: Let B Let v = x1 || 2 {]-G]} 3 13 15 then 8 0 be a basis for the subspace H. X1 where " x2 X2

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Q: The wave equation W 0 = 10%

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Q: the answer that was given was y(t)=Ce^-t + Dte^-t +3t^2e^-t but its wrong I'm looking for the error…

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Q: (a) If the eigenvalues of the n x n matrix A are λ > λ > 13 ...λ = 0 show that the eigenvalue λ,,…

A: Here, we need to prove that Eigenvalue can be found.

Q: 1. There are 74 men, 64 women and 36 children at a party. Find the ratio  (simplest form) of the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: The given problem is to find the maximum and minimum of temperature equation on the given sphere of…

Q: I. Solve for z. All final answers must be in Zn where n is the modulus. (a) x = 3(15) +45 mod 18 (b)…

A: The given problem is to solve the given following modular equations and express in the general form.

Q: Tom Leonard, of Leonard, Spitz, and Wareham takes an average of 1 hour and 45 minutes to write an…

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Q: elatively prime integers that are NO

A: 11. Since a, b are not relatively prime, which means they have common factor let b=ka for some…

Q: Consider a fair coin tossed three times and three events are defined as follows: . E1: a head comes…

A: Solution : If two events are independent than, Probability of their intersection is equals to…

Q: Solve the approximate root of f(x) = x^5 - 3 using Newton's Method with initial value of x=10.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let A be an n x n diagonalizable matrix. Suppose T : R" → R" is transformation with the standard…

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Q: dx 2 det = 0 given th-

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Q: 1.What is the GCF of 16,  -24,  and – 40 2.The product of two numbers is 2700. If their GCF is 15,…

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Q: a. Express the following numbers in Cartesian form using either exact expressions or rounding to 2…

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Q: 2. Use the algorithm for Euler's method to determine approximations to the solution to the initial…

A: Solution : Given, y'=3x2y+2 y0=1 0≤x≤1 h=0.2 Euler method: 1st Iteration:…

Q: Solve by simple substitution. 1. xy²(xdy + ydx) = (xy-2)dy

A: We have to solve given differential Equation.

Q: Set up the double integral that will find the volume of a solid bounded by z = 1- y²x² and the xy-…

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Q: دیا (a) | 4 25 53

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Q: 3. Consider the iterated integral 1 = ƒƒ³*³*³ 3r dz dr de 0 Denote by G the solid of integration of…

A: Remember : z=ρcosφ ,    r=ρsinφ ,  ρ=r2+z2 .

Q: x3 - 3x²y = c =

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Q: 70. Verify that T(x, y) = (2x +iy, ix + 2y) is a normal operator on C². Find an orthonormal basis B…

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