Knowing that In(1)=0, the correct second order numerical approximation of In(1.5) is ? (Use as much digits as possible) Answer:

Q: Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin on all sides.…

A: According to rule of bartleby we can solve only 1st problem and if your require another one kindly…

Q: Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 -…

A: The given function is,

Q: 2. Given So S√x y² +8 dydx. Reverse the order of integration and evaluate. Draw the

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Q: 2tds + s(2 + s²t)dt = 0

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Q: Q3) Use Euler's method to estimate y(0.02) ey-x 1+ e2y y(0) = 1 ( h=0.01) .What is the error in the…

A: Given ; h = 0.01 y(0) = 1

Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: Consider the IVP: x" + (x')? + 6tx = 0, x(0) = 3, x'(0) = 4 Using the Euler method with a time step…

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Q: 1 Find the quadratic approximation of f(x) = arctan(x) at c = Round the coefficients to four . √√3…

A: The given function is           f(x)=arctan(x)=tan-1(x) To find the quadratic approximation of the…

Q: 3. (4 pts) Find the exact value of each definite integral. 4x5 dx (b) dt

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Q: Solve the following problems on bond papers (maximum 3 bond papers) with 2 inch margin on all sides.…

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Q: 5- What is the degree of the error of approximation (h), in the numerical integration method…

A: Error in simpson Method is of order 4 Equation (A) is Newton's Cote's Quadrature Formula

Q: 47) Estimate the minimum number of subintervals needed to approximate the integral 2 S (7x4 - 1x)dx…

A: Estimation of minimum number of intervals

Q: 2. Consider the problem of evaluating the value of the definite integral 2х-п dx . sin(x) i) Apply…

A: According to the Given question; I=∫022x-πsinxdx Ans 1; By Monto Carlo Method; I=∫022x-πsinxdx…

Q: 1. (a) Use differentials to find a decimal approximation of V119.

A: Given data is : 11913 Use differentials to find a decimal approximation.

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: 21) Find the number of compositions M needed so that the error of the integral 2.2 In(x + 2) dx is…

A: Simpson's rule can be used to approximate the value of the integration using numerical integration.…

Q: 4. Solve the integration below La-x. |- x – 4x³ + 2x°)dx using: a. Analytical method b. Trapezoidal…

A: We have to find the solution of the definite integral ∫-241-x-4x3+2x5dx using the trapezoidal…

Q: Consider the initial value problem: y'(t) = sin(t) – tVy(t). y(0) = 1. Use the improved Euler's…

A: Given initial value problem is  y'(t)=sin(t)-ty(t),    y(0)=1

Q: Find the general solution of the following DE by finding an integrating factor to maket eact Hint:…

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Q: Calculate the percent error of: |(1.2 - x)(1- e20(x-)( 20.1) dx a. Using rectangular method when…

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Q: [Q2] For the following function f( x) = N1- x , For x[-1,1] 1- Perform numerical integration using…

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Q: [Q2] For the following function (x) For x[-1,1] 1- Perform numerical integration using mid-point…

A: [Q2] Consider the provided question, (1)

Q: 8. Find the value of the constant C for which the integral 11x 11C dx x* + 1 4x + 1 converges. C =…

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Q: | Example 8.11. Evaluate the integral the error with the exact value. dx using Simpson's 1/3rd rule.…

A: Please find step by step solution below

Q: 2) Determine the solution to the equation y' = y + x² using the following methods b.) power series

A: We have to solve given problem:

Q: Q-the Newton raphson method is applied to find the root of f(x)= x* -1 with an initial guess Xo =0.5…

A: Given function is, fx=x2-1......(1)fxn=xn2-1....2 Differentiating the equation (1) up to first order…

Q: Consider the IVP: x" + (x')² +5tx = 0, x(0) = 2, x'(0) = 3 Using the Euler method with a time step…

A: We apply the Euler's method to find the solution we apply the transformation U'=V and V'=-V^2_5tU,…

Q: [Q2] For the following function f(x) = 1- x, For x[-1,1] 1- Perform numerical integration using…

A: [Q2] Consider the provided question, (1)

Q: A student would like to calculate an approximate value for v15 using the Newton- Raphson method with…

A: The absolute approximate error is given as | x3 - x2 | = |3.8731 - 3.8966 | = 0.0235  To find value…

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using the trapezoid rule with n=4; you…

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Q: Solve the given integration using Newton-Cotes Method of integration * (x² – 1) (x² + 1)(x² + x + 1)…

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Q: Integrate f(x) = 0.5 + 20x + 3x4 from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation

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Q: Use Taylor's formula with a = 0 and n = 3 to find the standard cubic approximation of f(x) = y at x…

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Q: The value of the definite integral fm12 √ex - 9 dx is in the form F(b) – F(a), where a In 9 and b…

A: We have to solve given Questions.

Q: The value of pi can be approximated by calculating the integral: 0 to 1 of (4/(1+x2)) dx Calculate…

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Q: integrate the following Simpson's 3/8 rule with n=4 and write down the integration result upto 4…

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Q: Using Modified Euler's Method, approximate the initial value problem for various values of x given…

A: Given y′=9x2-4x+5, y(-1)=0 , h=0.2, y(1)=?Here, x0=-1,y0=0, h=0.2,…

Q: (Use 3 decimal points in all calculations) Given an initial value problem f(x,y)=2+4y+e²* with y(0)=…

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Q: Question 3 t- State the formula for the approximate integration of f(x) with n = 6 subintervals…

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Q: 6) Use the successive approximations method to solve the following Volterra integral equation: (x 2

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Q: 5. Given the function f(x) = 1 + ex sin(4x) with integration limits from a = 0 to b = 1. Use…

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Q: Using Simpson's (1/3) rule with h = 1, evaluate the integral: 7 = f x² logx dx 3

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Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3 y = tan x

A: In this question, we find the particular solution of the differential equation. Here, we used the…

Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3y = tan x

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Q: In approximation of 4e* sin(2x) dx by Romberg Integration, R11 = O 2.6842 O 2.9736 O None of these O…

A: Use the following formulae, to estimate the integral ∫abfxdx by the Romberg integration method.…