Q1. Solve the recurrence relation x, = 6xn-1 – 9 xn-2 with initial condition x, = 1,x1 = 4

Q: Selve y?r-ays 7t= Puby uiry morge pleare do et fast

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Q: If P1 is (3,5,00, P2 is (-1,2,7), and P3 (6,0,2). Find the shortest distance of the line P1P2 and P1...

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Q: Evaluate: 2sin(3i)cos(3i)

A: Given  2sin(3i)cos(3i) To solve we use following properties: 2sin(θ)cos(θ) = sin(2θ) sin(iθ) = isin...

Q: 2. The set of real numbers 1 for which the d²y boundary value problem + Ay = 0, dx y(0) = 0, y(r) = ...

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Q: Let G be a group having two finite subgroups H and K such that gcd(|H.K) 1. Show that HOK={e}. Justi...

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Q: A topological space (X, t) is a T1-space if and only il for each x e X, the singleton set {x} is clo...

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Q: Consider the following Scenario: • Maximize z = 9x1 + 12x2 + 11x3 o Subject to 6x1 + 4x2 + X3 s 20 3...

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Q: Let I'(V, E) be a graph. For v E V and e E E, prove the following statements: 1-O(T – {v}) = O(r) – ...

A: Given that ΓV,E is a graph. Let v∈V and e∈E. We know that the order of a graph is equal to the numbe...

Q: 2- Pind fxx , fr and fxy for the following: f = tan'i x +y) f = e coS(X-y)

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Q: Use De Moivre’s Theorem to find the identity of the following:

A: Introduction: DeMoivre's theorem is very important in complex analysis. It makes a relationship betw...

Q: What is the least number of lateral edges of a prism? * O 2 3

A: To find the least number of lateral edges in a prism.

Q: What is L s² –7 s² -3 21

A: The given function is L-1ss2-7+6s2-36 make the partial fraction of ss2-7 ss2-7=As+7+Bs-7=As-7+Bs+7s2...

Q: Radioactive nuclei decay according to the law: dN -AN. dt N is the concentration of a given nuclide ...

A: Solution

Q: A={a,b,c,d,e,f,g,h}, B={a,c,e}, C={a,e,i}, D={g,h,i} so which of the following statements is true? O...

A: Given sets are A=a,b,c,d,e,f,g,h, B=a,c,e, C=a,e,i and D=g,h,i, We have to check which of the given ...

Q: A breeder reactor converts relatively stable Uranium 238 into the isotope Plutonium 239. After 15 ye...

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Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

A: We have to find the solution of the linear system.

Q: S+ 2v + 2a = 4 35 – 3v + 4a = 25 35 + 2v – a = -4

A: Convert the given system of equations into matrix form. 1223-3432-1Sva=425-4 The augmented matrix is...

Q: aD Cy = D2 holds, independent of the compounding method, where Cy is the convexity, D is the mod- if...

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Q: Question 5. (a) Prove that every element in Q/Z has finite order. (b) Prove that every non-identity ...

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Q: Given points P(5, 2, -1), Q(2, -3, 0), T(4, 2, 4) foms the triangle. Find the interior angle at Q

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Q: n²x, 0<x<1/n fm (x)== { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1}

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Q: 3) Compute the gcd of T³ +T2 +T+1 and T4 +T³ – T² +1 in (Z/3)[T].

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Q: Answer this question For a quadratic equation ax? + bx + c = 0, D = b² – 4ac is called the discrimin...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Constraint 4 & 5 are hard constraints and the rest are soft constraints. Objective Function Min: 2X1...

A: We will use the basic knowledge of linear programming to answer this question properly and correctly...

Q: 4. sin (4x – y)dy dx 2

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Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: A. Without using your calculator, determine the special acuté 1. a = sin- (-) 2. 0 = cos () 3. B = t...

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. - 2. Calculate the Laplace transform L{12e¬t...

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Q: Let f(T) and g(T) be polynomials in Q[T] whose gcd in Q[T] is 1. Show that 1 is also their gcd in C[...

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Q: (b) Let X = (a, b]. Construct a continuous function f : X → R (set of real numbers) which is unbound...

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Q: 6. Let c1, C2, C3, ... be the sequence defined by the following recurrence relation: C1 = C2 = C3 = ...

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Q: Q5: Find the eigenvector and eigenvalue for A = ; | [2 0 1] B = 0 1 0 lo 2 1l

A: we have given the matrices A = 4132 , B =201010021 we have to find the eigen vectors and eigen value...

Q: Prove that then the sequence {"(1+i) belongs to l1. n3"

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Q: Q/usethe Fibona ccimethod to Solve thefrablem In four stefs uPslon Min fo=X+ [ze27,6-1] and E=ort 25...

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Q: 4- find the absolute max.and min. o f the function f = x² +y? Plate boun ded by = x +y? on the close...

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Q: Re-write. the.ethar.five.iterated.nt.eg.ral.s. 2 Fang, z)dydzdx -I x2 d

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Given points P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) find the parametric equation of the line PQ ...

A: Here given point  P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) So  PQ=2-4, 5--2, 5-5=-1, 7, 0 PR=0-4, ...

Q: (D) Drawing Slope Fields - Examples Draw the slope field for =y-1 dx

A: This is a problem of the autonomous differential equations.

Q: (10х — Зу > 9 2. 1x+3у> 24

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Q: f'(2) for (x- x)(x² +2)(x² +x- 1) S(x) = %3D x + 2 O 676/5 O 379/7 O 587/3 O 384/9 O 585/4 O 699/7

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Q: Find the center of mass of a thin plate of constant density 6 covering the given region. The region ...

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Q: Make a handwritten resume regarding the Chinese Remainder Theorem by including examples (minimum 2)

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Q: Given the equation f(z) = 0.2z? + 20z +1.8 %3D , then using the standard classical discriminator equ...

A: For a quadratic equation: ax2+bx+c=0, the roots are calculated using the formula: x1, 2=-b±b2-4ac2a....

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: A dead body was found within a closed room of a house where the temperature was a constant 70° F. At...

A: Given A dead body was found with in a closed room of a house where temperature was a constant 70∘F ....

Q: Evaluate, sin(4 – 3i) O 10.04240.68° 10.04Z – 139.32° O 9.71Z – 137.52° 10.04Z139.32°

A: We evaluate sin(4-3i)

Q: a piccewise Snction. Cleasly label bounday values. Make Sue the Shape of each seqmert.is corsect. Gr...

A: Given function is fx=−x2+4,   x≤02x+4,     0&lt;x≤2x−33,   x&gt;2. We have to graph the given piecew...

Q: a) Find the Taylor series representation for f about x=1.5 that is valid for all x € (1,2) -Use the ...

A: This is a Taylor theorem approximation.

Q: C. Provide the steps and reasons to establish the following logical equivalence: 1) [Gv)→(pnar)]epng

A: As per our company guidelines, we can solve first question for you. If you want other question to be...

Q: 6. An insurance company has an obligation to pay the medical costs for a claimant. Average annual cl...

A: Solution:-