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: 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: Using the function f (x) = x3 + 0,4x2 + x, the following data set was created.Using this data set,…

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Q: Using the function f (x) = x3 + 0,4x2 + x, the following data set was created.Using this data set,…

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Q: 4175 2 4 35 3 ちち 2012ヶ ち 23,45 36

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Q: The following table gives the diameter d and height h, both in feet, of some "champion" trees…

A: a) Find a formula that models h as a power function of d. Approach:

Q: by using newton divide deference interpolation compute f(1.28) from S( 1)=3. . f( 1.2)3D2.98007. , f…

A: The value of table for x and y x 1 1.2 1.4 1.6 1.8 2 y 3 2.98007 2.92106 2.82534 2.6967 2.54030…

Q: The population of a country was 5.372 million in 1990. The approximate growth rate of the country's…

A: Here, ft=0.09486952e0.01766t and F0=5.372 million. To Find: (a) Function of Ft. (b) To estimate the…

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: Using the function f (x) = x3+ 0,4x2 + x, the following data set was created. Using this data set,…

A: x y=f(x) 0.2 0.224 0.3 0.363 0.4 0.528 0.5 0.725 0.6 0.960

Q: f() f[, ] f[, ,] f[, , ,] X 4 0.6020600 ? ? 4.5 0.6532125 ? ? 5.5 0.7403627 ? 0.7781513 Fill out the…

A: Given: x fx 4 0.6020600 4.5 0.6532125 5.5 0.7403627 6 0.7781513 To find: The blank…

Q: The following data set of values of a function f is given X 3 4 f(x) 27 64 a. What is the forward…

A: We will use values given in table to find all approximation

Q: Given the following table, approximate f (0.6) using 3-point formula f(x) 0.5 0.4794 0.6 0.5646 0.7…

A: Given that, x f(x) 0.5 0.4794 0.6 0.5646 0.7 0.6442 From the above table it is observed…

Q: Find the interpolation polynomial by creating the Newton Divided Differences table using the values…

A: x 1.0 1.3 1.6 1.9 y=f(x) 0.765 0.620 0.455 0.282 To Do:Using the Newton Divided Difference we…

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

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Q: Use the graph of the polynomial f(x) to answer the questions below a. Is f(x) even, or odd, or…

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Q: Calculate the value of f (8) using Newton's divided difference formula from the following table: 4 7…

A: solution:  Find the value of f(8) Divided difference table Here…

Q: 26 Use the following table to estimate /f(x) dx 10 10 14 18 22 26 x100 88 72 50 28

A: The value of f(x) are space 4 units apart,So that, ∆x = 4  and n=(b-a)/∆x =(26-10)/4=4.

Q: Let F(t) be the number of miles on the odometer of a car at time t. What is the meaning of F(2.5) –…

A: Explanation of the answer is as follows

Q: Find a formula for the described function. An open rectangular box with volume 6 m3 has a square…

A: Given: An open rectangular box with a volume of 6 m3 has a square base. The length of a side of the…

Q: Determine the value of f(22) for a given set of data below using Newton's Divided Difference

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Q: Let f(z) be the height of a maple tree in inches and z the number of years since 2000. A Hnear model…

A: f(x)=9.44x+84.182 A) The estimate height of the tree at 2016 will be…

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)…