Evaluate the integral Sdx using the two-point Gaussian quadrature rule 1+z² -2 2444 O O OOO N|WO CA|Co

Q: 1) Evaluate the integral 2) Evaluate the integral S 5 sec² t de (tant — - 1 dx 8 x√√x² 2

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Q: b) Find each integral 1) ((²-2)i-(t-2)²³ j+e¹k)dt 2) t (cosi+sin²j+3 2 2 i+3tk)dt

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Q: 3t – 9 Integrate using the trigonometric substitution method dt J? - 6t +13

A: Given: ∫3t-9t2-6t+13dt We have to integrate using the trigonometric substitution method.

Q: 3 Evaluate the integral de using the two-point Gaussian quadrature rule O -|4 1035 N/N N/W 끔

A: We have to evaluate the integral ∫−3311+x4dx by using two-point Gaussian quadrature rule. Here,…

Q: Let foo = x-x -1,06 <2 Use the Fixed-Point iteration method to approx imate the roo- of FOu accurate…

A: We have to use fixed point method to solve given equation.

Q: Evaluate the impropec integral oc sho that it diverges, dx

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Q: Use the Wronskian and any needed theorems to show that f1 = sin x + 2x2 and f2 = e3x are linearly…

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Q: Flw) = Sinlw) e?Jw o.5W

A: Given function is: Fω=sinω0.5ωe-2jω or Fω=2sinωωe-2jω The standard inverse Fourier transform…

Q: Find the Cauchy principal value Lant dx (x+1)(x²+2) -R of the following integral R

A: We have to find the Cauchy principal value of given integral.

Q: 요2s A) for F- 2K1-3y3+ K %3D prove That divc curl È)=0

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Q: Use Green's Theorem to evaluate the following integral Let² dx + (5x + 9) dy Where C is the triangle…

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Q: Discuss the cosets of { (x, y) | x, y E R, x = y } in (R × R, +).

A: {(x,y) / x,y∈ℝ , x=y} in (ℝ×ℝ,+)

Q: Find the Integration of 1 dx. (6x+7)6

A: To find: The integral of ∫dx6x+76. Formula used: Integration formula: Power rule of integration:…

Q: baphress -4i in esponenial form reio the Qunge OLOC2TI in

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Q: Compute the line integral: y² dx + x² dy two ways. C

A: We have an line integralTo evaluate the line integral by two methods (a) By  Green theorem(b) By,…

Q: xe x145)dx (√3x + 1 + xe d) Į sec² x tan² x dx

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Q: Find the orthogonal trajectories For ;) 16x2+y2= c

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Q: Evaluate the line integral ex dx - xy dy +y dz, where c(t) = (1, t, t ), 0 sts 1. %3D

A: As per our guideline we are supposed to answer only first asked question.Kindly repost other…

Q: I Consiter Hhe follwing pdf: PxY (xy). -2 di) Find Px and Px e) Find Pxir (xly) for every y. fo)…

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Q: c) Show that the image of the annulus {z: 1 -1 | W - 1²/31 | > /// } W = Z-1

A: To Show: The image of the annulus z : 1&lt;z&lt;2 under w=2z-1 is the domain w : Re w&gt;-1,…

Q: Let xbe inner Product and ||x1|=|ly|| = 1 x+y Lix.y ? why?

A: Given that X is an real inner product space. x ,y be two unit vector from X then need to show that…

Q: Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 -…

A: Solve the following

Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e*…

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Q: Yk+2 + 2yk+1 + Yk = k, k≥ 0, yo = y₁ = 0

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Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: s (2i + 2a - 2) dz 4. 1 x3 + 2x3

A: topic - integration

Q: Use two -point gaussian square to approximate the following double integral:

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Q: Jo F dr, where F = (3-2y, x-1, -2z) and C is the boundary of a triangle with vertices (0, 0, -3),…

A: Given F=3-2y, x-1, -2z C is the boundary of a triangle with vertices (0, 0, -3), (0, 4, 5), (2, 0,…

Q: . Let X and Y be continuous random variables. The joint PDF of X and Y is 12r*y 0<y<r < 1, f(r, y) :…

A: The joint distribution of (X,Y) is given by, f(x,y) = 12x3y0&lt;y&lt;x&lt;10otherwise So,…

Q: Calculate the line integral f (2x²y + 10x + 6y − 6) dx + (−6xy + 7) dy, - where C' is the rectangle…

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Q: || ஜு{20} + விண்{} - தரவி

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