51. 2(cos 120° + i sin 120°)

Q: (a) (b) (c) (d) (1+2i) ² 2 1/(1+i) √3-4i ein/4

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Q: 9x 4. y" -9y=3x 5. 4y" — y=xe*¹/2, y(0) = 1,y'(0) = 0 2y"+y'-y=x+1, y(0) = 1,y′(0) = 0 6.

A: y''-9y=9xe3x Finding the C.F D2-9=0⇒D=3,-3 Therefore C.F=c1e3x+c2e-3x P.I=u1xv1x+u2xv2x…

Q: Solve the following differential equation + x + 2 + (x + 2)y4 = 0, y = y(x).

A: Given : y=yx. To find : solution of differential equation y'+yx+2+x+2y4=0.

Q: In part a I dont know what rank A is? can you elabrolate?

A: Given matrix A=5021007030 R1→R1510251007030R2⇒R2-10R11025003030R2→R33 , R3→R331025001010

Q: Determine all solutions of the following Diophantine equations: 1335x - 801y = 534. Further, find…

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Q: Question 2: Use the Maclaurin polynomials in example 6.12 part (c) to solve the following. (You can…

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Q: 2. Use the Newton-Raphson method to solve, with initial guess x₁ = x2 = 1 f₁(x)=x²-x₂-1=0…

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Q: Give an example of a linear transformation whose image is spanned by 6 in R³. Be 8 sure to give some…

A: Recall definition of Linear Transformation

Q: The radius of the top of a hemispherical soup bowl is 5cm. Use the integration to determine the…

A: Given radius a=5 cm Height h=4 cm Use integration to determine the volume.

Q: Problem Solving Q17 A new (unsharpened) pencil is in the shape of a hexagonal prism. If the area of…

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Q: 2 4x-5 x FOR EVALUATE TO a=1, b=16 THE BISECTION THE 4 DECIMAL f(a) f(xr) MUST PLACES AFTER POINT

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: Compute the pro II 1 - k = 5 1 k

A: Here we have to compute the given product.

Q: Does the matrix 1 −1 -2 1 0 -1 have an LU factorization? If so, compute it. If not, explain why not.…

A: We have given a matrix, B=21-1-4-2130-1. A square matrix is said to have an LU factorization if it…

Q: Given f(x, y) = cos(x²). a) Draw the region that is the base (or footprint) the surface, b) Setup…

A: Given function fx , y=cosx2. To Find : a) Plot the region that is the base of the surface. b) Setup…

Q: Solve the equation. 2x + 5 x+13_ x+8 + 9 9 6 = What is the solution set? Select the correct choice…

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Q: 9. Construct the truth table for the following propositions: ni sad? a. p P A are vor li vino albu…

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Q: (i) State the cancellative law in a group G. (ii) Give the definition of the group GL2(R). iii) Give…

A: A group G, * is a set G together with binary operation * satisfies the following properties. Closure…

Q: Given the function f(x) -10 ≤ x ≤ 5, answer the following questions. = a) Find f'(x) and ƒ"(x).…

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Q: 1- (a) (b) dx In the following problems write the given linear system in matrix form. = 3x - 5y dy =…

A: A system of linear differential equations is a set of differential equations in which there is a…

Q: Let the vectors (i, j, k) constitute an orthonormal basis. In terms of this basis, a general basis…

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Q: 9. Let A, B be the same matrices from problem 8. If AB - BA = -BA-athen c O c = 8,d=-4 Oc=9, d= -2…

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Q: Drives Co. sells portable hard drives. They can sell 600 drives when the price is $65/drive, and…

A: We will find demand function from given data from which  revenue function can be found .

Q: } 10- If {$; } is a conta family of sets and some

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Q: Define T: P3 R¹ by T(p)= p(-3)] P(-1) p(1) p(3) where P3 = {a+at+a₂t²+₂t³ | α α₁₁ a₂. a are reals }…

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Q: Given that f is a polynomial of degree n in Pn, show that { f, f ',f ", . . . , f (n)} is a basis…

A: Given that f is a polynomial of degree n in Pn. We have to show that f, f', f'',....,fn is a basis…

Q: Use Newton's method to find the slope of the tangent to the curve defined as y = 7x² + 4x - 10.

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Q: 4 Part 3 of 4 Required information NOTE: This is a multi-part question. Once an answer is submitted,…

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Q: = 50° √x+1 dx : 5.² √2-1 dx x2

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Q: The growth of a bacterial infection is represented by the function p(t)=e4, where t is the time…

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Q: Two numbers are in the ratio 5:8. If their difference is 30, what is the smaller number? (Answer…

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Q: Jim Ryan, an owner of a Burger King restaurant, assumes that his restaurant will need a new roof in…

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Q: 1. Evaluate the following integral: [ 8(x+b)dx where a, b are constants. a 2h

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Q: Exercise 2 By using the method of separable variables prove that the general solution of the…

A: The standard form of the differential equation is dydx+P(x)y=Q(x). The Bernuallis'  form of the…

Q: i. For a convergent real sequence sn and a real number a, show that if sn ≥ a for all but finitely…

A: i) It is given that, sn be a convergent sequence and a∈ℝ such that  sn ≥ a for all but finitely many…

Q: Let R be a commutative ring with unity of characteristic 4. Compute and simplify (a+b)^4 for a and b…

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Q: Suppose Ax = b and Ay = b* are both solvable. Then Az = b + b* is solvable. What is z? This…

A: It is given that Ax=b and Ay=b* are both solvable. This implies that b and b* are in the column…

Q: Use perturbation method to linearize the following nonlinear differential equation: Ý = Xsinê —…

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Q: 5 Part 4 of 4 Required information NOTE: This is a multi-part question. Once an answer is submitted,…

A: The given poset is 2,4,6,9,12,18,27,36,60,72,l. To Find: Greatest lower bound for the set {60,72}.

Q: Find all natural numbers b with 100 < b < 200 such that 5211b (mod 35)

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Q: (b) Evaluate the line integral dz along the simple closed contour C shown in the diagram. 1

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Q: Y D Prox

A: Product of two sets

Q: If n EN, then 2¹ +2² +2³++2=2+1 – 2.

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Q: A free particle of mass m lives on a circle of length L. The circle can alternately be thought of as…

A: Given a free particle having mass m on a circle of length L. (a) Schrodinger equation.…

Q: Write the point-slope form of the line satisfying the given conditions. Then use the point-slope…

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Q: Save Aris Write each sentence in symbolic form. Represent each statement with the variable indicated…

A: The given statement is " I always bring alcohol and wear a face mask". We have to write the given…

Q: 2. Let A be a matrix whose singular value decomposition is given by [100 0 0 0 0 10 0 0 0 0 10 0 0 0…

A: please find the attached answer.

Q: Basis Find a basis for the space of 2 x 2 lower triangular matrices.

A: In this question, we have to find the basis for the space of 2×2 lower triangular matrices. We know…

Q: During the human female menstrual cycle, the gonadotropin, FSH or follicle stimulating hormone, is…

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Q: n (7) Vn € N, Σi!i = (n + 1)! — 1. i=1

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Q: fish hatchery employed a mathematician to design a model to predict the -opulation size of fish that…

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