10) Given y' = -y and y(0) = 1, determine the values of y at x = 0.01, 0.03, 0.04 by Euler's method,

Q: The polynomial that passes through the following x-y data (18, y,), (22,25), (24,123) is given by…

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Q: Consider fex) = x' for Xo=0, X, = 0:2 Xy=0-8. %3D X2=0.4 %3D Calculate fo fírf using three point…

A: NUMERICAL ANALYSIS:  DIFFERENTIATION:  To Solve this problem we use here the numerical…

Q: Q2. The equation of a circle is (x – a)? + (y – b)² = R² where R is the radius (a, b) are the…

A: Given the given table is Apply formula for the given two points x1,y1 and x2,y2. Slope =y2-y1x2-x1…

Q: Q1. Use bisection method to solve 4D E=-0.4 + 1.74 In(ReC) Where Re=10^5 Take initials C -0.0005 and…

A: Bisection method: 1. Choose two real numbers a and b such that f(a)f(b)<0. 2. Set xr=(a+b)/2 3.…

Q: Consider f(r) V16 - a (a) Dilferentiate using five point formula and find actual and approximation…

A: The five-point formula for the differentiation using the central difference method is…

Q: Find the first and second derivative of the function tabulated below at x = 3. 4 14 x y(x) 3 - 14 -…

A: The functionx33.23.43.63.84-14-10.032-5.296-0.2566.67214We have to find the first and second…

Q: Compute y at x = = 0.25 by Modified Euler's method given y' = 2xy, y(0) = 1.

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Q: Q3: Using finite differences methods to find f(1.3) andƒ(4.5) for the function f(x) given by the…

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Q: Given the following data, find y'(6) 0 2 + 26 y 4 3 58 4 112 t 7 466 9 922

A: Interpolate the data using Lagrange's interpolation polynomial. After that differentiate the…

Q: Q4. The radius of a circle can be measured with a maximum error of 1%. Accordingly, what can be the…

A: This question is based on Application of derivative.

Q: Let f (x) = e* – 1. The best suitable method to solve f(x) = 0 is modified Newton's method. Select…

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Q: he table below gives values of f(x) = e f(x) fx) 0.94 0.95 0.96 0.97 0.98 2.55998142 0.99 2.69123447…

A: Given: Here the given is f(x)=ex. We have to compute f'(1.0) and f''(1.0) with the following data…

Q: From the following table: construct the difference table then find the value of x when y is maximum;…

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Q: 1. Use the Linear Shooting method to approximate the solution to the following boundary-value…

A: Note : The step length h=0.1 gives more accurate solution ,which is very close to the exact solution…

Q: Q5. Use Newton's interpolatory divided- difference formula to construct interpolatin polynomial of…

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Q: Identify an analytic anomaly why numerical integration formulas will fail for J_11-x² sin(ax) dx.…

A: Given integral is∫-11sinπx1-x2dx

Q: 2/2 212x+2=0 sin 2 When a root of the equation is found by taking Po = 2 and applying the Newton…

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Q: Applying the method of group of averages, find a curve of the form y = ax +b _to the following data:…

A: We are given the curve : y=ax2+b According the question, when x=1 , then y=0.43…

Q: The fixed point of the function f(x) = 9* – (2) 3× + x - 3 is: Select one: а. 1 b. 2 C. 4 d. 3

A: We will find out fixed point for given function.

Q: Q1: Consider the IVP: y' =1+ y, y(0)=0. 1. Show that the IVP has a unique solution in…

A: Given differential equation is y'=1+y2, y0=0

Q: 1) Using the bisection method and the interval [-0.3,1.7] ,to get an absolute error less than ɛ=0.04…

A: The root of the function can  be calculated using the bisection method. The method approximate the…

Q: Find the solution following system of equations by using Crout's reduction method: 5x– 2y+z = 4 7x +…

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Q: 4- If the equation y= ae" can be written in linear form Y=A + BX, what are Y, X, A, B? a) Y = logy,…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Which of the following expressions should be used when looking for a special solution with respect…

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Q: What result is obtained when we find the approximate value of sec 29 ° number by error analysis?…

A: Consider the given information: To find  approximate value sec29∘ by error analysis. Here option (C)…

Q: QI: Use a Lagrange method to find f(1.3 table: and f' (4) for the function f(x) given by the…

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Q: 2) The table given below reveals the velocity v of a body during the time "t" specified. Find its…

A: Use the interpolation polynomial and then derivative, we get the formula for derivative as:

Q: The partial differential equation for distribution of temperature in an aliminium rod is given by…

A: Given :

Q: Using Modified Euler's method solve the equation=1-y given y(0) = 0 for x = 0.1, 0.2, 0.3.

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Q: To find an nth Lagrange interpolation polynomial p(x) we need n distinct numbers and their values in…

A: To find an nth Lagrange interpolation polynomial p(x) we need n distinct nbers and their values in…

Q: Question 2: By Newton forward method find the value of (e¹.85) given e¹7 = 5.4739, 1.9 - e²¹= 8.1662…

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Q: Given the function f(x) = cos(x) - sin(x) defined on the interval [0.0, n/2]. The angle is in…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…