Use the given data, for some function y, to construct the Lagrange interpolating polynomial of the data 2 3 1. 3. Yi 1 2 7 20 Accurate to two decimal places (using a decimal point and not a comma), estimate

Q: By using Lagrange interpolation, evaluate (3) if f(0) = 2, ƒ(1) =1 and f(4) = 4. 5.

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Q: Complete the following worksheet and then use it to calculate the coefficient of determination. (ŷ;…

A: The formula to compute the coefficient of determination is, r2=∑(y⏞i-y)2∑(yi-y¯)2

Q: -бх +3х?-2х +1 y =

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Q: how did you determine your t values for the piecewise function?

A: Given that yc=0t≤0ce-1tt>0 Here "y" is a Piecewise function.

Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

Q: Q3/ Fit the following vapor pressure ys temperature data in fourth order polynomial. Then calculate…

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Q: What is Taylor’s polynomial?

A: We know that an nth degree polynomial has the form Px=a0+a1x+a2x2+a3x3+……+anxn where ai's are…

Q: Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

A: Given,          The function is fx=x4+3x3-4x2-12x .

Q: Let H be a function (in cm) which models the average height of a month old pea plant if given w L of…

A: Let H be a function in cm which models the arerage height of a month old pea plant if given w L of…

Q: Use appropriate Lagrange interpolating polynomial to approximate f(8.2) , if f(8.3) = 17.56,f(8.1) =…

A: The value of the table for x and y: x 8.3 8.1 8.6 y 17.56 16.94 18.51 We will approximate…

Q: The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then…

A: Given

Q: Compare the graphs of the functions. Y, = In and Y, = In x – In 2

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Q: A farmer has 477 meters of fencing for a rectangular garden, where fencing is not needed for one of…

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Q: Given these data X 1 2 3 f(x) 3 6 19 99 Estimate f(2.5) and f(4), (a) using an interpolating…

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Q: Two similar, but different ones. Consider the function f(x)=exp(x). Let p in P, be the interpolation…

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Q: Given the data points (5, 523), (9, 4625), (11, 9853) , and (15, 32003), find the value of f(x) if x…

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Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: If the function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and…

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Q: Find the natural spline for the data: x0 = 0, x1 = 1, x2 = 2, and f(x0) = 1.2, f(x1) = 1.3, f(x2) =…

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Q: ABCD is a square of side a. A line parallel to the diagonal BD at a distance x from the vertex A…

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Q: 1#Use appropriate Lagrange interpolating polynomial to approximate f(7.2) , if f(7.1)=6.94,…

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