1. 2 Given the series -+ - Which ONE of the following statements is TRUE? OA. The series converges to 1 by comparison test OB. The series diverges OC The series converges to 0 by n" root test OD. The series converges to 0 by ratio test OE.

Q: Indicate the next two steps of the fractal with the following initiator and generator. Attach your…

A: The initiator square is split as four smaller squares the top left square and bottom right square is…

Q: 그 n=1

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Q: Determine the inverse Laplace transform for the following. s – 1 2s2 + s + 6

A: HERE WE USE SOME FRACTIONS AND BASIC OF LAPLACE TRANSFORMATION

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Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - 0. 1x2 0.…

A: We are only allowed to solve one question at a time so we will answer only the first one. Please…

Q: 3. Use the Remainder Theorem to find P(c). a. P(x) = x³ + 3x² – 5x + 1; c = 3 b. P(x)= 5x - 12x² +…

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A: The Regula Falsi (also known as the false position) method uses the formula:…

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A: Given- Huey sets up an IRA (a type of retirement account in which the money you invest is exempt…

Q: prove the parallelogramequlity:

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Q: 2a + 2b- c+d = 4 4a +3b - c+ 2d 6 8a + 5b – 3c +4d = 12 3a +3b – 2c +2d = 6

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Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cost î + sint j+k.

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Q: 6. Consider the power series -1)" n=1 n3" 6.1. What is its center? 6.2. Find its interval of…

A: We know that a power series has the form ∑ anx-cn, where an are the coefficients of the power series…

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A: Given, The arithmetic sequence are: a)  15, 21, 27,.....         11th term b)  a1=5, d=-3…

Q: Prove that ℝ with lower limit topology is Hausdorff

A: Solution :-

Q: Q4/ Solve the differential equation dy b) = v1+ sinx(1+ y?) when y(0)=1

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Q: we consider the system 2r + 2y z+ 3y. dt For the given function Y(t) = (r(t), y(t)), determine if…

A: Since you asked for part 1, so I solved only part 1.

Q: s a Roots of Complex num

A: Let       z=717.925+j126.589

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A: To calculate the difference in the flight times of the initial and return flights.

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Q: Solve the following Initial Value Problem using Laplace transform: y′′−9y′+8y=e−8t ;y(0)=1,y′(0)=1

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A: A graphing utility can be used to graph any function. The scale and the graphing window of the…

Q: Find the eigenvalues and eigenvectors of the matrix B - ( ) 8. В %3D

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A: Using given information, ∆F=F' ∆R

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Q: 7 A 9. The graph below shows a quadratic step function, f() = - 2x What domain restriction defines…

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Q: The zeros of the polynomial function f(x) x+ 4x3-84x2- 176x + 640 form an arithmetic seguen Find the…

A: Here, f(x) = x4+4x3-84x2-176x+640 Since the roots of f(x)= 0 are in arithmetic progression, we can…

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Q: Q4/ Solve the differential equation a) xy. = 1+x + y+ xy dx

A: Solve the differential equation, by Variables separable method

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Q: 11. Find all zeros of the polynomial P(x) = 2x + 7x* + 5x³ + 7x2 + 3x. %3D

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A: A four of a kind hand is a selection of five card from a standard 52 card deck consisting of four…

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A: The solution is given as

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A: See answer below.

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Q: dz is equal to .. dt Let z= In (x2+y²) where x=ue"sin t and y = ue"cos t. If u= -2 and t=0 then -

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