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Problem 6_ The polynomials Ho (x) =1 Hi(x) = 2x Hz (x) = 4x2 _ 2 Hz(x) = 8x3 12x are called the Hermite polynomials. Show H {Ho (x), Hi (x), Hz(x), Hz(x)} is a basi...

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Problem 6_ The polynomials Ho (x) =1 Hi(x) = 2x Hz (x) = 4x2 _ 2 Hz(x) = 8x3 12x are called the Hermite polynomials. Show H {Ho (x), Hi (x), Hz(x), Hz(x)} is a basis for Qs'Problem 7. Using Problem 6, find each of the following: #, [x]#, [x2]u, and [x?]x.Problem 8. Using your answer in Problem 7, create a 4 X 4 matrix A where each column is one of the vectors from your solution. Find A-1 (use a computer!) Compare this to the matrix you used in Problem 6. Briefly explain what you see, and

Problem 6_ The polynomials Ho (x) =1 Hi(x) = 2x Hz (x) = 4x2 _ 2 Hz(x) = 8x3 12x are called the Hermite polynomials. Show H {Ho (x), Hi (x), Hz(x), Hz(x)} is a basis for Qs' Problem 7. Using Problem 6, find each of the following: #, [x]#, [x2]u, and [x?]x. Problem 8. Using your answer in Problem 7, create a 4 X 4 matrix A where each column is one of the vectors from your solution. Find A-1 (use a computer!) Compare this to the matrix you used in Problem 6. Briefly explain what you see, and why you think it happened:  Similar Solved Questions

NSupposc A and B arc independent_ Shov thcn that A" and B arc in- dependent. Show also that A' and OI independent.3Prove that if P(AB) = P(AJP(B), then P(AIB) = P(A) Continued: .. Prove that if P(AIB) = P(A) then P(BLA) = P(B)_ Continued; Prove that if P(BIA) = P(B). then P(AB) = P(AJP(B). Whal <lidl YOu prove these Iast three parts?fl38Show the prohability that exactly one of A B occurs is given by P(A) + P(B) - #P(AB) Prove that P(AU BUC) = 1 - P(AelBen Ce)P(Be Ce)P(Ce). If A ix a
n Supposc A and B arc independent_ Shov thcn that A" and B arc in- dependent. Show also that A' and OI independent. 3 Prove that if P(AB) = P(AJP(B), then P(AIB) = P(A) Continued: .. Prove that if P(AIB) = P(A) then P(BLA) = P(B)_ Continued; Prove that if P(BIA) = P(B). then P(AB) = P(AJP(...
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Ilan Mrecon sotmqzip RucI105 buII_Tr 9, 50 Homework: HW 5 (3.1 & 3,2) Mlcalecan Score: 0 04 1 Ketnatu d 3.1.83 19 0f J1 /?1 complale) Fidtha â‚¬ Rennce &Oentol! Fhut h Inc Wanl- hao,bt bbanauacton Lu #uino Hmow ulenti chanIna P Fe" Wt-uh Laenen He Entor Yoy Arueu ett herra Hanu Ej K...
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Nada dbdelmalaakContemporary_Math_114_Fallt8Homework: Homework HW Score: 1596, 15 of 100 pts 0f ?20 comp cte) Score: [ of 5 pts Queston Help 01.1.9 liberel Dadorm) conscrvebve clatform) and maderite p adlor) Firtoon porcent ol Eia Celegalos Derublcen Paty hocino annual convention The 1800 ~ouno delecaies choosirg inong three possibk: platlorms FrusMAs Wntc out tne prelereice achadule fcr lug aluchon ar Cllotend Terty-Tand pancent ofta cequles IkE ra Mostani Ihc least The rest ofthe ~clegales [
nada dbdelmalaak Contemporary_Math_114_Fallt8 Homework: Homework HW Score: 1596, 15 of 100 pts 0f ?20 comp cte) Score: [ of 5 pts Queston Help 01.1.9 liberel Dadorm) conscrvebve clatform) and maderite p adlor) Firtoon porcent ol Eia Celegalos Derublcen Paty hocino annual convention The 1800 ~ouno ...
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In AVWX, w 520 cm, ZW=93" and ZX-68o. Find the length ofx, to the nearest centimeter.
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11.4.7 Question Help A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.12 years and the standard deviation 8.74 years What is the standard error of the mean? b) How would the standard error change if the sample size had been 225 instead of 25? (Assume that t...
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The company has two machines which are used to fill bottles with the carbonated beverage For Machine 1, the standard deviation is known to be 01 0.008 and for Machine 2 it is known to be 02 0.01_ The quality control department wants to check if the two machines fill the same net volume on average. They randomly collect 10 bottles which were filled by Machine and ten which were filled by Machine 2, and measure the actual volume_ The measurements are given here: Machine 1 16.03 16.04 16.05 16.05
The company has two machines which are used to fill bottles with the carbonated beverage For Machine 1, the standard deviation is known to be 01 0.008 and for Machine 2 it is known to be 02 0.01_ The quality control department wants to check if the two machines fill the same net volume on average. ...
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Describe how cells know whether sister kinetochores are properly attached to the mitotic spindle....