n-1 Σ 5. Determine if the series (n– 3) converge, diverge absolutely n=2 or converge conditionally.

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A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Time (t) in seconds Distance (y) in cm 2 3 4 7 8 15 20 15 0 -25 -60 -105 -160

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Q: Prove the statements: The difference of the squares of any two consecutive integers is odd.

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Q: 3A 4-ft resource is 8ft long of ter hanging a mass weighing &1bS. The the system moves offers a…

A: The Newton's second law for the system is, md2xdt2=-kx-βdxdtmd2xdt2+βdxdt+kx=0d2xdt2+βmdxdt+kmx=0…

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A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

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Q: eg Show thaf Full likely hod ven by W - M

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Q: 4) Order of approximation for numerical integration methods Let f(x) = x?e-. Using u-substitution,…

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Q: y(x2 + y? – 1)dx + x(x² + y² + 1)dy = 0 У (2x2 — ху + 1)dx + (х — у)dy %3D 0 x2 + y2 dy 1 dx…

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Q: Problem 23. Answer using Cauchy's Theorem. Given that C is a simple closed path, evaluate each of…

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Q: 1 2 Q4) Find the maximum eigen value for the system A = 5 4 with initial vector x' (0) = (1 1)

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Q: •x² if 5 solve the 1UP: y% 4y(2)+ 3y'= Y0)=e+ % ,uG) = et %

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Q: Q4) Find the maximum eigen value for the system A with initial vector 5 4 x' (0) = (1 1)

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: The given vector is r→t=5t sint + 5costi^+5t cost + 5sintj^. To find: (a) unit tangent curve of the…

Q: QUESTION 1 Find an integer x between 220 and 260 that satisfies x = 39^123 (mod 41). Your answer…

A: We need to find integer x between 220 and 260 that satisfies x = 39123 mod 41 Clearly , 39 and 41…

Q: 1. The figure below represents a graph. Define each graph formally by specifying its vertex set, its…

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Q: (b) Calculate sin(arccos()) exactly, i.e. without using a calculator.

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Q: Ē=-V A electric field can calculated from a potential by using The potential at (x y z) due to a…

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Q: For any two vectors ū and i, ||ū + u|| = ||ū|| +||7||-

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Q: Since question b has 5 parts to it its still 1 question

A: Given that,y=48×0.99twherey is temperature of liquid in degrees celsiust is time in minutes. The…

Q: Create an augmented matrix for the system. Then, solve the system using the Gauss Jordan elimination…

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Q: 2 0 Q4)(a) Find the maximum eigen value for the system A = with initial vector x' (0) = (0.0299 1

A: Solution

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer: (b)…

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Q: = f(x) dr where f(x) = 7x+2– /7x +2. Use Simpson's rule with four strips to estimate I, given 1.00…

A: It is known that: ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: G be the external direct product of groups G, G2.. H, = {4,e2.e*, e..e,x, e G,}

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Q: If D = 4x'a - 3za, + 2ya_C/m², find the following: V•D a Answer. the total charge lying within the…

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Q: Complete the proof using only set identities and definitions. Suppose A, B, and C are any sets. Then…

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Q: Evaluate the definite integral using all three composite rectangular rule strategies with the…

A: We will find value of integral by using left Riemann sum , right Riemann sum and Mid point rule

Q: 06. lim, xcsc X 3csc 6x 07. lim,→x/2 csc2x e* +3x 08. lim, e* + 0.5x?

A: According to guidelines here solution of only firt 3 questions

Q: In a particular very small region, the consumer price index, C, depends on the current valuc of…

A: here we will be using derivative to find rate of change

Q: Prove that the sum of the angles of an elliptical triangle is more than two right angles.

A: Solution:-

Q: Let P be the vector space of all polynomials. Then the set H = {p(t) : p(t) at2 1h %3D and h are…

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Q: Two infinitely long parallel lines are a distance a apart, and a ncedle of length ! (! < a) is…

A: Solution :-

Q: Q3: Solve the following equation using Runge Kutta Method to for the range 1.0(0.1) 1.5 , given that…

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Q: Find a harmonic conjugate of the function u(x, y) = arctan(x/y)− 6

A: Solution :-

Q: 5.19 Consider the mapping T: L'(0,2) L'(0, 2), (Tf)(x):= f(t)dt. (i) Show that T indeed maps L'(0,…

A: We will use the basic knowledge of functional analysis to answer both the parts of this question…

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A: The general solution of a differential equation always contains a constant of integration. The…

Q: Q4) Solve the boundary value problem y 3y' + 2y 0 with y'(1) = 1 , y(3) = 2e - e? h = 0.5

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Q: A statistics practitioner took a random sample of 52 observations from a population whose standard…

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Q: Given are the following nonlinear equation ex + 4x - 36 = 0

A: Solution :  Newton Raphson method , f(x)=4x2+e-2x-36f'(x)=-2e-2x+8xx0=11st iteration :…

Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

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Q: 7. Five equal point charges, Q = 20nC, are located at x = 2,3, 4, 5, 6 m. Find the potential at the…

A: Solution

Q: A motor and geartrain used in a servo system are operated with a steady voltage and the output of…

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Q: I. Show that the function f defined by 1, (x, y) = (1, –1) %3D f(r, y) = { r2 + y (x, y) + (1, –1)…

A: Given function is  fx,y=1,             x,y=1,-1x2+yx+y,    x,y≠1,-1

Q: 8. (a) Let I = :| f(x) dr where f(x) = 7.x +2 – V7x + 2. Use Simpson's rule with four strips to…

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Q: 5. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

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Q: Solve for the laplace transform using the formula. 9. F(t) = e-2t-

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Q: Solve the given IVP: y" + 7y" + 33y' – 41y = 0; y(0) = 1, y'(0) = 2, y"(0) = 4.

A: The given initial value problem is                                      y'''+7y''+33y'-41y=0 ;…

Q: 2. Using Gaussian Elimination a.3x + y - z = 1 b.x - у+z%3D-3 c.2x + y +z= 0

A: Solution :-

Q: a. All protons are subatomic particles. All neutrons are subatomic particles. Hence, all protons are…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…