Q5: Find the least square polynomial approximation of the following data: 3. 9. 12 -4 -2 12 21 Hint: y = a+ bx + cx?

Q: The table shows the revenues y (in millions of dollars) for Google, Incorporated during the years…

A: Polynomial least square regression: Suppose (x1, y1), (x2, y2)---(xn, yn) are n pairs of…

Q: Q2: Obtain the interpolation quadratic polynomial for the given data by using Newton forward…

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Q: The table gives the readings from a laboratory experiment X 3 4 Y 120 90 60 70 b+x A curve of the…

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Q: Consider the data given in the table: |-1 1 1 3 Find the least square approximation function in the…

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Q: Find two nonnegative numbers x and y such that xy=72 and 9x+2y is minimized.

A: Let the two non negative numbers be x and y Given xy=72 Therefore, y=72x Sum of two positive numbers…

Q: X 1 2 3 4 f(x) 2,6 3,5 3,2 2,4

A: From the given table, The general formula is,

Q: Q1) Determine the parameters a and b so that f (x) = aebx fits the following data in the…

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

Q: Suppose the following S shape of the total cost curve can be captured by the following cubic or…

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Q: Find the least square polynomial approximation of degree two to the data. 0 -4 Let y = a + bx + cx².…

A: Let us solve the given statistical problem where we have to determine the least square approximation…

Q: Q2' Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: Q3: Test the following function for minimum, maximum and saddle point. f(x, y) = 4x2 -6xy+5y2- 20 x…

A: Please refer the attached image for complete solution.

Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤x≤…

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Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤x≤…

A: Sol  Take Three point between -1 to 1 Straight line equation is y=a+bx. Equation of straight line is…

Q: (a) find the least squares approximation g(x) = a0 + a1x of the function f, and (b) use a graphing…

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Q: Find the least square polynomial approximation of degree two to the data. 1 -1 a= Let y = a + bx +…

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Q: Q2. Use the values in the table and calculate the values of coefficients of following mathematical…

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Q: 2. Use the least squares approximation to obtain a formula of the type P(x) = Aek* from the…

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Q: þse Excelto solve this problem. Use the least squares approximation to obtain a formula of the type…

A: To fit an exponential curve y=aebx by the method of least squares, take logarithm on both sides of…

Q: Find the orthogonal trajectories of a - =1; where 2 is an arbitrary parameter. a + 2

A: This is a question of the Differential equation.

Q: Find the least square polynomial approximation of degree two to the data: x 0 1 2 3 4 y -4 -1 4 11…

A: Given that: x 0 1 2 3 4 y -4 -1 4 11 20

Q: Given the tabulated function 2 3. -4.34 -27.74 y=f(x) Use least squares to fit the data to a…

A: The function solved by putting the value of x and y in function and calculate the value of a and b.…

Q: Q1) Determine the parameters a and b so bx that f(x) in the least-squares sense. ае fits the…

A: The exponential equation is of the form . This can be rewritten as where and and . The normal…

Q: 2- Find the least square polynomial approximation of degree two to the data. X 1 3 4 y -4 -1 4 11 20

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Q: Q#7) compare the maximum error, average error, and RMS error for the approximation f(x) = x³ – 3x to…

A: Average error- The average error or the mean error for n observations is given as, Root mean square…

Q: 6. Suppose that we don't have a formula for g(x), but we know that g(2) = 4 and g'(x) = Vx2 + 5 for…

A: given   g'x=x2+5

Q: Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x.…

A:

Q: 5) Find the velocity of rocket by using Gregory-Newton interpolation polynomial at t=260 sec. time…

A: Consider the given table. We have to find the velocityt=260 sec Since, t=260 sec is near to the…

Q: (a) find the least squares approximation g(x) = a0 + a1x of the function f, and (b) use a graphing…

A:

Q: Q5) Consider the Table below. y, = f(x,) 0.5 25.5 1 1.2 8.75 2.5 12.5 3 3.2 5.25 Find cubic Newton…

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Q: S iS weignt of Potassium bromide which will dissolve 100 gm of water at T°C. Fit an equation of the…

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Q: The orthogonal trajectories of y 4az is , where a is arbitrary constant O + = 2c %3D = 4c 2 O y+a -…

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Q: Consider the data given in the table: -1 1. Find the least square approximation function in the form…

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Q: 2. Use the least squares approximation to obtain a formula of the type P (x) = Ae* from the…

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Q: Use the Karush-Kuhn-Tucker method for the below optimisation problem and discuss any conclusions…

A: Given problem of minimization is Min. fx1,x2=x1x2+4x1+x22s.t.    x1+2x2≥20                x1,x2≥0

Q: 2. Use a linear approximation to estimate V1.03. 3 If f and a are the functions whose gronhs

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Q: The orthogonal trajectories of a + 9 is where a being r = parameter.

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Q: Consider the data given in the table: -1 1 1 Find the least square approximation function in the…

A: Given the table is -1 0 1 1 0 3

Q: The orthogonal trajectories of y = ce5" where c is arbitrary constant. is - 2x + 2C = 5y? 2x + 2C =…

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Q: Consider the data given in the table: |-1 0.5 |-5 6 15 Find the least square approximation function…

A: Let's find.

Q: (a) find the least squares approximation g(x) = a0 + a1x of the function f, and (b) use a graphing…

A: Given: Function f(x) = x3 on [0, 2] The least-square approximation of the function f is given by:…

Q: Consider the data given in the table: -1 0.5 -5 16 15 Find the least square approximation function…

A: Given - the table given is -1 0.5 1 -5 6 5 We have to find the least square approximation…

Q: The following equation was obtained by Ordinary Least Squares (OLS): rdintens = 2.31 + 0. 0045sales…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: H.W.3: Find a 4th order equation to fit the following set of data using: a) Direct fit polynomial.…

A: given data  x -π -π2 0 π2 π y 0 -1 0 1 0 (a) find a 4th order equation by using direct fit…

Q: Suppose that T = f(t) gives the temperature T (in degrees Fahrenheit) of a pot of coffee t minutes…

A: Let  T=f(t) be the temperature(in degrees Fahrenheit) Given  f'(20)=-3 and f(20)=125 we have to find…

Q: Use the Least - Square method to find a quadratic function of the f(t) =xo + xt +xzt? that best fits…

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Q: Q2 : Use Bisection method to solve F(x) = 668.06 -0.146843% (1- e )- 40 %3D with Xu= 16 and x2 = 12…

A: We have to use Bisection Method to find approximate root of given equation

Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. kx2…

A: The given family of curves is kx2+y2=1. Differentiate both sides of the above equation with respect…

Q: (a) find the least squares approximation g(x) = a0 + a1x + a2x2 of the function f, and (b) use a…

A: Given:                    g(x)=a0+a1x+a2x2 of the function f:   To determine:…