Given the following table of data, X 6.6 6.8 7.0 7.2 7.4 f(x) 8.820 18.501 28.423 38.102 47.021 find an approximate value of f(7.1) utilizing Newton's interpolating polynomial of appropriate degree.

Q: The following data define the sea-level concentration of dissolved oxygen for fresh water as a…

A: (a) Find the Newton's forward difference table.

Q: Q3-by using newton divide deference interpolation compute f(1.28) from S(1)=3. . f(1.2)=2.98007. S(…

A: The aim is to find f(1.28). Given that, f(1)=3, f(1.2)=2.98007, f(1.4)=3.92106, f(1.6)=2.82534,…

Q: Use the Cubic interpolation and the following data to find f(1.1) XF(x) 1 0.368 1.2 0.301 1.3 0.273…

A: Solution :-

Q: Why is the formula 1 (x-x) not used as a measure of dispersion? Show mathematically (i.e., prove)…

A: Let  be the set of n observations and  is the sample mean.To determine,

Q: 1. 3 14 5 3 4 나 2 12

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Q: 2. Complete the table below generated. using Neville's Method to calculate an approximation of…

A: The given values, n xn fxn 0 2 0.693147181 1 2.3 0.832909123 2 2.6 0.955511445 We have…

Q: Question 1 and 2. Determine the value of f(16) for a given set of data below using Newton's Divided…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Compute the exact value of the function for the given x-value without using a calculator. f(X) 7.5x…

A: To Compute the exact value of the function f(X) 7.5x for x =0

Q: by using newton divide deference interpolation compute f(1.28) from S(1)=3. . f(1.2)%32.98007., f(…

A: The value of table for x and y. x 1 1.2 1.4 1.6 1.8 2 y 3 2.9801 2.9211 2.8253 2.6967…

Q: Use the data below to estimate the value of f(6) to two (2) decimal digits using Backward…

A: Given the table for x and y=f(x).     x     1     3     5     7     9    11   f(x)   0.01…

Q: Consider the table shown above. What is the value * f(x) g(z) of (f-g)(3)? 1 А. 2 В. 3 3 10 С. 6 15…

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Q: rushing strength, F 1.64 1.36 1.07 0.78 0.5 (tonnes) of water used, w 10 15 25 30 Plot a graph of F…

A: In this question we will use basic of algebra i.e concept of interpolation and extrapolation.…

Q: 0.15 0.27 0.76 0.89 1.07 2.11 f(x) 0.1680 0.2974 0.7175 0.7918 0.8698 0.9972

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Q: Weekly wages of labours are given below. Calculated Q.D and Example Coefficient of Q.D. Weekly…

A: We have given that data  Formula for quartile deviation and coefficient of quartile deviation.…

Q: Employ Lagrange's interpolation method to find the value of f(x) using the following set of values…

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Q: These data represent the age in years of deer (0 is less than one year, 7 represents 7 years or…

A: In the given data, the age in years (x) is given and the number of dears (f) is given. The average…

Q: Statisticians sometimes use values of the function F(b) = dx. (a) What is F(0)? F(0) = i (b) Does…

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Q: Using Newton's divided difference formula, determine f(2.5) for the data 14 15

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Q: Consider the following data x -2 -1 0 1 2 3 y -8 -4 2 10 20 32 Find f(-1.5) and f(2.2) using…

A: Given the difference table; x f(x) ∆f(x) △2f(x) △3f(x) △4f(x) △5f(x) -2 -8               4…

Q: Answer the following: (1) Discuss the differentiability and analyticity of the function f(2) = 3x²y²…

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Q: a. From the table below, find the interpolated value of f(2.2) to 3 decimal places using; i. ii. The…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate f(6) by using given values below. 4 7 10 16 12 16 24 40 52 y

A: We will have to interpolate this data in the form of a suitable polynomial function and then just…

Q: Complete the input-output table for f(x) 3 If needed round to two decimal places. -4 -3 -2 -1 -0.5…

A: The given function is f(x)=3x, which means the value of given function at x is 3x Keep different…

Q: Estimate f(42) from the following data using newtonbackward interpolation. X: 20 25 30 35 40 45…

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Q: 18.28 The following data defines the sea-level concentration of dissolved oxygen for fresh water as…

A: (a) Find the Newton's forward difference table from the table of values.

Q: For a given function f(x), the divided -differences table is given by: flxo) = a flx) -b Xa = 1 1 1…

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Q: Consider the four points given below, which satisfy the function f(x) = 1/x. f(x) 3.35 0.298507 3.40…

A: Given that, The four points given below satisfy the function f(x)=1/x x 3.35 3.4 3.5 3.6 y…

Q: below. Refer to the text for definition of an Using the definition of an, and given f(3) = 0.21629…

A: Given.f(3)=0.216298 &   f(4)=0.812263And also given definition of an:-an :   ~ if nth place to…

Q: find the value of f(x) at x 10:

A: Given, x 9.3 9.6 10.2 10.4 10.8 f(x) 11.40 12.80 14.70 17.00 19.80 To find the value of f(x)…