Consider k : D –→C k(2) = %3D (1 – z Show k is 1-to-1 and find k(D).

Q: Q1 Solve the second order differential equation; Y" – 5Y' + 9Y = 0

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Determine the Fourier series to represent the periodic function shown: 2л

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Q: 1.28 Show that the nonzero rows of an echelon form matrix form a linearly indepe

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Q: it has and plot the amplitude and phase spectra. 8 -4 -2 0 2 4 6 8 10 12 14 16 18 (s) Fig 2

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Q: -1 M = 1 0 -2 L0 1 -3 | Which one of the following expressions evaluates to the matrix (M – I)-1…

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Q: tind the equation of a polynomial Shose graph, passes through the points t-1,7), (0,2)(2;4)

A: As per guidelines I had solved the first question. Thank you.

Q: 4. Find the general solution of the system: 1 X = 0 3 0 -1 1

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Q: k 0 0 If A = 0 1 0 0 1 then det (A) :

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Q: At +he point C G, G6° 5) a veotor A is expressed in cylindrical cordinates as 20 ar - 30a4 + 18 az .…

A: Given the point C 6,66°,5 and a vector A→=20ar-30aϕ+18az

Q: оз Classify PDES below a³ u` ди — и + и- ду ue 5x %3D

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Q: To express 3/4 as a percent, divide ____ by ____ multiply by ____ and attach a percent sign

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Q: Question 4 If + 3x + 6a2 + 12x°+... %3D then C equals 11 8. 19 8 -2 19 11 215 2/5

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Q: H Ps is theveetor space of polynontale of degre $3, and P, io the ucetor spaceof polynomial the…

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Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: 2. A linear system is given by the following equations 1 x1 + x2 2x1 + x2 – 3 3x1 – x2 - X3 1 3. (a)…

A: The Given linear system is ,                         x1 + x2 =  1…

Q: 13 Evaluuare possible. the following ex pressions exacrly, If nor possible, srae why? arcos [cos (]…

A: Solution

Q: c. State transformations T d. Find four key points on each function e. Graph both f(x) and g(x) on…

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Q: k 0 0 If A = 0 1 0 0 0 1 then det (A) =

A: We want to find determinant of given matrix A.

Q: Use Induction to prove that 22n+1 + 32n+1 is divisible by 5 for all n > 0.

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Q: En-3 and a4 = 22, a5 = 126, and a, = 596. Find a1 , a2, and az

A: Given, an=5an-1-3an-2+4an-3 To find the value of a1,a2 and a3.

Q: x' + y = 0 y' + x = 0 x(0) = 0, y(0) = 1.

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Q: QUESTIONS 1-5. Data in the table below were collected on a new test for the diagnosis of COVID-19 In…

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Q: Find the 6th root of 12(cos120 + jsin120). O a. 0.52-jl.42 O b. 1.42+j0.52 O c. 1.42-j0.52 O d.…

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Q: Find the area of the region enclosed by y = 2.5r and r=4 . Use horizontal strips to find the area,…

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Q: (a) Compute the Fourier sine series expansion of f(x) = 3x – x² on [0, 3]. %3D (b) To what value…

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Q: Maturity 10 10 (years) Annual 4.40 3.00 5.25 5.15 6.15 4.50 Rate (%) General Electric bonds you…

A: In this question, the invested amount is calculated when the annual rate and total amount are given.

Q: -1 9. 1 8

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Q: 6. Suppose f :Z→Z is defined as f = {(x,4x +5):x € Z}. State the domain, codomain and range of f.…

A: From the definition of a function it follows that ℤ is the domain and codomain of f.

Q: Question 17 Given A = {–1, 0, 1, 2} and B = {3, 4, 5, 6}. Which of the following is a function from…

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Q: Find 1) equation of tangent plane and 2) the linear approximation of the function below at the…

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Q: The following table shows the results of a

A: Given, the following table shows the results of a survey of 400 authors by a publishing company.…

Q: what is the maximum size of independent set ? And give examples

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Q: Solve the initial-value problem using Laplace Transforms. x'' + x = e^-t sin2t;   x(0) = 2, x'(0) =…

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Q: 1. Parameterize the following surfaces: (a) The part of the parabolic cylinder z = 1 - x? bounded by…

A: (a) Here given the part of the parabolic cylinder  z=1-x2 bounded by the planes z=0, y=0 and y+z=2.

Q: L3x3 + M (subspace sum). sym 3×3 !! L3x3 O M (direct sum). sym 3×3 !! express A E M3x3 as A = L+U…

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Q: The logistic function ranges from 0 to 1 and has an 'S' like shape to it. O True O False

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Q: Sketch D and g(D) from the description of D and change of variables (x, y) = g(u, v). x = u cos v, y…

A: The given equations are x=u cos v, y = u sin v

Q: Write the standard form of the equation of the hyperbola subject to the given conditions. 15…

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Q: what is an independent dominating set ? And give examples

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Q: Find an open cover of the interval (−∞, 3]. Justify why that open cover has no finite subcover.

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Q: f(t) = eat sin Bt.

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Q: R.3. Let X = {1, 2, 3, 4} , and suppose f:X→X is a one-to-one function. Prove or disprove: f maps X…

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Q: Let V be a vector space, v, u E V, and let T1 :V → V and T2 : V → V be linear transformations such…

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: a. Use long division to divide 4x3+9x-12 by 2x-1 b. Write your answer in quotient form.

A: We have to perform the long division

Q: Question 7. Using induction prove that 13 + 23 +... + n³ = + u)u for n > 1.

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Q: Question 4 Solve the initial value problem: y' -0.03y+6 y(0) = 50 %3D y(t) = %3D

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Q: Polar curves C2: r = 4cosθ and C3 : r = 4sinθ. Solve for the slope of the tangent line at the…

A: Introduction: A polar curve is a form created with the use of the polar coordinate system. Points…

Q: Find the angle a between the vectors [] 5 and -1 a = 48.37 2.

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Q: R.6. Suppose f:X → Y, and let A, B be subsets of Y. Prove that f-1[An B] = f-1[A] n f-1[B]. (Recall…

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