For a given table 3. 10 S(x) 4. 7. 11 15 Using linear interpolation formula, find f (5).

Q: E+ 4) for x e [O, of f(x)?

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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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: 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: 4) Find the value of x for y-5.043 with the help of following data. 2.3 4.5 6.7 10.6 f(x,) 1.2 4.I…

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Q: Suppose f"(x) = N, (h) + a,h + a,h² + azh³ + . The value of N2(h) using Richardson's extrapolation…

A: Solution- Given, Using Richardson's Extrapolation, let us assume, , where  is an unknown constant…

Q: 4.Use Lagrang interpolation method to find f(1) based on the following data: a -3 2-1 3 ソ=fx)||1 2 4…

A: 4 Consider the given table x−32−13y=fx1248 Use the Lagrange's interpolation method we will find the…

Q: Given that   f(t)=−t+5f(t)=−t+5 ,  find the root mean square of f(t)f(t) in the interval…

A: To find the root mean square value of Function

Q: Estimate the error if P4 (x) = 1 +x+ ( x^2/2) + ( x^3/6) + ( x^4/24) is used to estimate the value…

A: We have given that ,  P4x = 1 + x + x22 + x36 + x424 We need to use P4x to estimate the value of ex…

Q: Q/ Consider the following four points to interpolate for y = f(3.2) using: %3D 1.0 0.1111 2.0 0.0625…

A: We will answer one question. Please resubmit the other question separately to be answered.

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: We will find the population of mosquitoes after 15 days as following.

Q: Q/ Consider the following four points to interpolate for y = f(3.2) using: 1.0 0.1111 2.0 0.0625 3.0…

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Q: Q. 20. Find out mode from the following : Values X: 10 12 15 20 25 30 35 Frequency : 2 7 8 10 15 11…

A: Solution-: We have following table: X 10 12 15 20 25 30 35 Frequency 2 7 8 10 15 11 7 We…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: According to question,P0 = 590,P'0 = 98 per day

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: For a given table 1 3 6. 10 f (x) 4 7 11 15 Using linear interpolation formula, find f (5).

A: The linear interpolation formula  is given by  y=y1+(x-x1)y2-y1x2-x1 where, x1,y1 and (x2,y2) be two…

Q: Find the P-value (to 4 decimals) for a x test with d. f. = 16 and STS X = 18.4 if the test is: %3D…

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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: Suppose X is time to take a portion of the SAT test and f(x) = x/8 from 0 to 4 hours. Find the mean…

A: The formula to obtain the value of mean is ,

Q: For f (x) = 2x² – x + 1, find all the values of c on the interval [0, 2] that satisfy the Mean Value…

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Q: Let x1, X . ,~ Bin( n,p) and p = . Find 1) A constant c such that E[c p ( 1 – p) ]= p(1- p). 2) Find…

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Q: Q3. Given the following table find the value of y when x = 3 by interpolation using Newton's Divided…

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Q: Q4 Suppose X ~ Exp(A), calculate E[X|X > 1].

A: * SOLUTION :-  (4) As per given data the calculation is shown below

Q: Use the appropriate three-point formula, to estimate f'(1.3) for the following table. 1.1 1.2 1.3…

A: Given,

Q: Use linear interpolation to find these values to an appropriate number of decimal places: a.…

A: Let us consider a set of discrete data points (x1,y1) and (x2,y2). Then, the data point (x,y) in…

Q: Let to be a specific value of t. Use the table of critical values of t below to find to-values such…

A: we use student's t distribution table to find the required value.

Q: Q4: Given the following data, find F(x) at x = 3 using lagrange Interpolation. 1 2 4 y 1 1 2

A: We have, x 0 1 2 4 y 1 1 2 5 Here,x0=0,   y0=1x1=1,   y1=1x2=2,   y2=2x3=4,   y3=5We have to…

Q: Determine the value of f(22) for a given set of data below using Lagrange poly interpolation F(X) 2…

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Q: Compute the sedative of the given function g'(t)= 6(2sin t -6cos t)^5 g'(t)=???

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Q: Suppose f(x) = N (h) + a,h+ azh³ + azh5 + . %3D The value of N (h) using Richardson's extrapolation…

A: The value of N2(h) using Richardson's extrapolation is

Q: Give the value of c in the interval [-1, 2] that satisfies the conclusion of the mean value theorem…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: find total population in a week

Q: X 2 4 6. -2 4 8 11 Which of the following is the y'(3.8) value calculated by the backward finite…

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Q: 3. Given the following p.d.f.: f(x) = 3e-3x, where x > 0, find the Median. Show all work and…

A: Given, p.d.f is fx=3e-3x, x>0 Note: ∫0mfxdx=12 m is the median of x.

Q: 5. Employ inverse interpolation to determine the value of x that corresponds to f(x) = 0.23, f(x) =…

A: The given problem is to find the values of x that corresponds to f(x) values , we have to use…

Q: 4) Construct a Gregory- Newton interpolation formula from the following data: the interval of x is…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given, Pt represents the population of certain mosquito colony and t is measured in days. P0 = 552…

Q: Find the P-value (to 4 decimals) for a x test with d. f. = 9 and STS x = 1.6 if the test %3D %3D a.…

A: (a) Obtain the P-value for the chi square test if it is left tailed. The P-value is obtained below…

Q: The t-value of t = fall between - to 99 and to 99 because to,99

A: Here it is given that -  Total no of sample (n) = 14 Sample mean (x¯) = 1184Standard Deviation (s) =…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: From the table (data set) given below, calculate f (8) by Newton and Lagrange interpolations. Use…

A: According to the given information, it is required to calculate the value of f(8) by newton and…

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…

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Q: Suppose E(X) = 5 and E[X(X − 1)] = 27.5. (a) What is E(X2)? [Hint: First verify that E[X(X − 1)] =…

A: a) Use the properties of Expectation: EX+Y=EX+EY  and     EaX=aEX Then it is proved that,…

Q: In the diagram below, F is the infersection of AC and BE The khgth af AC is 9. Complete the table…

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Q: Use the most accurate three-point formula to determine each missing entry in the following tables.…

A: Solution :-

Q: Suppose f"(x) = N¿(h) + a,h + azh² + azh³ + -· The value of N½(h) using Richardson's extrapolation…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: s apply and showing all the details of the test =) for E n=2 nVn2-1

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Q: Find f(5) using Newton- Gregory interpolation formula from the following table. 8 f(x) 16 Answer:…

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Q: If the pdf is 22 e&r4x² , 0<x<1 Find K.

A: The total probability is always 1. So, ∫-∞∞f(x)dx=1

Q: Given that f(x) = e*. By taking h=10*, where k = 1, 2, find approximate values of f'(2.2) using (i)…

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