Using 3-point and 4-point Gaussian Quadrature, determine approximations for 1 1.5a3 6.12+1.7 dx 1

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 3 cost-2 sint,…

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Q: follerving initial value problems by separating the Vasiables Solve the ye)=2 %3D %3D dx

A: Solution:Givendydx=y2-1x2-1; y(2)=2Formula:log ab =log a +log blog ab =b log aa2-b2=(a+b)(a-b)∫1x…

Q: Subject Ex: Find the general sol ution of X dy -ydx = x² y³ dx

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Q: |(9x - 5) dx, given the following. Calculate 2 X-dx 3 19 dx = 3 %3D xdx =

A: Property of Definite integration: If the upper and lower limits are the same then the integral is…

Q: Using the linearization of f(x)=sin(πx), approximate the value of sin(0.6π). A. The answer cannot…

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Q: (x – y – 2)dx + (3x + y – 10)dx = 0 -

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Q: The value of e dx x ex dx is ans. 1C 4V2 none of these

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Q: Using the method of variation of parameters solve the following. d2y/dx2+ y = tan x.

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Q: Using Picard’s process of successive approximations, obtain a solution up to the fifth approximation…

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Q: Find the approximate value for 1+9x* dx , with h=0.1 using (a) trapezoidal rule, (b) Simpson's 1/3…

A: To find the approximated value of the integral  ∫011+9x4dx; with h=0.1 using trapezoidal rule.

Q: Determine equuation is escact.if it is then Solve it whether the given 3) dx=(223y+4)dy जिचट)

A: Consider the given equation. 2xy2-3dx=2x2y+4dy Further, simplify. 2xy2-3dx-2x2y+4dy=0 The general…

Q: A 9. The exact value of [2 e2* dx is

A: Find your answer below

Q: A particle travels along a straight line with velocity function v(t) = e'sin(2t) + cos(t) – 1 cm per…

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Q: A particle moves in a straight line with the given velocity v(t) = 2 cos (t) (in m/s). Find the…

A: Given that velocity v(t)=2 cos(t) Find displacement and distance traveled over the time interval…

Q: a/4 32. The value of xcos(x') dx correct to three decimal places ( assuming that p = 3.14 ) is

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Q: 3.2 The value of e-0.5*dx by using three-segment trapezoidal rule is most nearly 1.1

A: The complete solution is in given below

Q: lve the following equations: a) y√(1-x²)dy + x√(1- y²)dx=0 (In 6 12

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Q: Using Gauss Mean Value Theorem, find 1 sin (7/6 + 2e") d0. (Ans. 1/4)

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Q: (a) /(- cscr cot z – sin z) dæ: (b) | (x5 – 4x + 7)°(5xæª – 4) dx =

A: Solve it.

Q: 0.8 Evaluate e* dx using-trapezoidal rule by breaking it into 5 intervals. 0.3

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Q: The period of a pendulum with length L that makes a maximum angle  θ_0 with the vertical is T  =…

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Q: Determine how large the number a has to be so that 1 dx Submit Answer

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Q: Question The approximation of ſªxln (x + ¹) dx using two points Gaussian quadrature formula is:…

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Q: 9. dy dx (xy + 1)2

A: We have to evaluate the iterated integral given below: ∫01∫01 xxy+12dydx. First we will evaluate the…

Q: Soluie the giren îuitial-value problem dx =5 smwt; x6) =0; dx tox に dt

A: Here is the solution of the given problem.

Q: QUESTION 12 Use local linear approximation to estimate the following. V611.

A: Linear approximation

Q: A particle is moving with the given data. Find theposition of the particle.   v(t)  =Sint -Cost…

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Q: Bifferentiate the following function. 3x +7-5e* y= dy dx

A: given :

Q: The linear approximation at a = 0 to sin(6x) is A + Bx where A is: and where B is: Question Help:…

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Q: II ACTIVITY # 8: esinx dx use N=5 SOLVE USING TRAPEZOIDAL AND SIMPSON'S RULE

A: For trapezoidal rule  h = b-anh = π-05h = π5 x 0 π5 2π5 3π5 4π5 π esin x esin 0 = 1 esinπ5 ≅…

Q: a) Use Newton's method to estimate V5 with xo = 1. ( Find x1, x2 and x3 )

A: To find 54 xo = 1

Q: Q: Use Lagrange's Formula to Prove that :

A: Solution: We know that Lagrange's interpolation formula for unequal intervals is, f x =  x-x1  x-x2…

Q: Given that ƒ(1) = 5, ƒ′(1) = 4, g(1)= 2, and g′(1) = 3, find

A: Given- ƒ(1) = 5, ƒ′(1) = 4, g(1)= 2, and g′(1) = 3. To find- ddxfx·gxx=1 and ddxfxgxx=1  Identity…

Q: cos(x) dx 1+ x2 a) Calculate using Simpson's 1/3 rule. b) Take n = 5 and calculate using the…

A: Solution:- The given integral  is  I=∫0π2cos(x)1+x2dx

Q: 20. Given: S 10 -dx Find: formula

A: Here we have to integrate the given function.

Q: dx 4 -sin e+C Using Trigonometric Substitution - = , express the answer in terms of x. (x² + x + 1)…

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Q: If a particle moves on a straight line so that s = et (cost – sint) . Which expression can be used…

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Q: How do you find the local max and local min of this problem?

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Q: How do you solve this?

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Q: dx using gauss legendre 3 dots

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Q: a. Use the definition to calculate 2x – 3 dx using right endpoints x = a +kAr . b. Verify your…

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Q: constant, z : Y(x) sin (aitime) O what is dY こ G is d time e what is 2 d time

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Q: Approximate sin by using a linear approximation with f(x) = sin x. %3D 13 sin = f(a) + f' (a)·h = c,…

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Q: Finding the sinx =0 by the secant method, the following choice of initial guesses would not be…

A: According to the Secant method the  (k+1) th approximation   xk+1 = (xk-1fk - xkfk-1)/(fk - fk-1)…

Q: 9) xdy- ydx = (x² + y ² ) ex dx a) artan. * =* b) arctan X = ţ c) auctan $ d) none of the above etc…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: a) cost sint sin t cost 2 3 4 b) 1 0 1 7 6 5 0509 0 1 1 0 (c) 3 3 30 0 4 4 1

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Q: 1. Using Linear Approximation, determine the approximate value of the following: Final answers must…

A: Consider the given expression, 80.54; where 814=3 Now, Let us consider the function fx=x14 and find…

Q: +1 x² Find I = dx use two and three points of Gaussian-Quadrature

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