## Question

###### Point) In the real vector space c"(R) with inner product(f,9} L; f)gtz) dx.consider the orthogonal set of polynomials {u1, U2, Uz} , whereU1 = 1, U2 = %, and Uz = 223Let v = f(z) be the function defined by S 0 f(z) ifz < 0, 31 if > 0.Compute the following inner products_(u1, U1) (u2, U2) (u3, Uz) (v,u1) (v, U2) (v, U3)21/38/453/21/4(b) Find the second degree generalized Fourier approximation fz(z) of f(z).f(x)

point) In the real vector space c"(R) with inner product (f,9} L; f)gtz) dx. consider the orthogonal set of polynomials {u1, U2, Uz} , where U1 = 1, U2 = %, and Uz = 22 3 Let v = f(z) be the function defined by S 0 f(z) ifz < 0, 31 if > 0. Compute the following inner products_ (u1, U1) (u2, U2) (u3, Uz) (v,u1) (v, U2) (v, U3) 21/3 8/45 3/2 1/4 (b) Find the second degree generalized Fourier approximation fz(z) of f(z). f(x)

## Answers

#### Similar Solved Questions

5 answers

##### 43_SPRECALC7 1.10.044_Find an equation of the line that satisfies the given conditions_ Y-intercept 7; parallel to the line 3x + 4y + 1 = 0

43_ SPRECALC7 1.10.044_ Find an equation of the line that satisfies the given conditions_ Y-intercept 7; parallel to the line 3x + 4y + 1 = 0...

5 answers

##### Alcolssth Kr= the 3 ? 1 and concentration 4CN: (be) ionof fcN 1 NoOfptor ion; [Cu ]aqueous solution prepared

alcolssth Kr= the 3 ? 1 and concentration 4CN: (be) ionof fcN 1 NoOfptor ion; [Cu ] aqueous solution prepared...

1 answers

##### Ik Pyec < fr Vnten 3 KCIOs 6) = As PCi; () 1 2 C12 KCTDs ( Nz 11 36 2686 Jnls FCG; U) (n) 245 0) 0 ( )

Ik Pyec < fr Vnten 3 KCIOs 6) = As PCi; () 1 2 C12 KCTDs ( Nz 11 36 2686 Jnls FCG; U) (n) 245 0) 0 ( )...

1 answers

##### 3. Find the adjoint for each of the following operators. That i8, for two inner product spaces, X, Y (which may o may not be the same space) , find the operator Lt guch that,L : X _ Y Lt : Y _ X with (u, Lv)y (Ltu,v) x Note: L?(D) represents the space of square integrable function over domain D(13)a: X = R4,Y = R? with(T,2)x = 2Ti Zi and (y,w)y i=1Vi Wi and L i_1(14)b: X =R?, Y= R? withL1,l L1,2 L1,3 (1,2)x = Ecizili and (y,w)x Yi Wi Vi and L L2,1 L2,2 L2,3 i=1 {=1 L3,l L3,2 L3,3 In this case, p

3. Find the adjoint for each of the following operators. That i8, for two inner product spaces, X, Y (which may o may not be the same space) , find the operator Lt guch that, L : X _ Y Lt : Y _ X with (u, Lv)y (Ltu,v) x Note: L?(D) represents the space of square integrable function over domain D (13...

5 answers

##### Assume the population is at Hardy-Weinberg You can no longer equilibrium_ solid orange coloring is dominant while orange with black Question 18: For goldfish; 2500 goldfish were stocked in an outdoor pond; 2275 spots is recessive total of with black spots_ Since the fish came from a protected, solid orange and 225 orange You may assume the stocked population was indoor; stable envlronment_ equilibrium. What are the allele frequencies in the original stocked population?List the Information given:

assume the population is at Hardy-Weinberg You can no longer equilibrium_ solid orange coloring is dominant while orange with black Question 18: For goldfish; 2500 goldfish were stocked in an outdoor pond; 2275 spots is recessive total of with black spots_ Since the fish came from a protected, solid...

5 answers

##### Lab 12 Genetics and Evolution: Part 3 section of tke TASZRJ8 DNA fromn tha students digested wuth the restriction Ahnse (Tabk 123,p.207) Wus umplified bx PCR, cnzyne ApcKI,und visnalized in an #Arosc banding pattemns (Sce Figure 123 The rcsults based upon 0-206 Ihalhurans dinloids presenied below (Tahle 411 comnicic n-Wut) RememhennzTable 12.2 _ Genotyping PTC Tasting by TASZR3S PCRIApeKI Digestion Genotype 4of Students AlcIcs Phenotype FrcqucnciTastersut- MuaicrFutulWhat the purpose of the dig

Lab 12 Genetics and Evolution: Part 3 section of tke TASZRJ8 DNA fromn tha students digested wuth the restriction Ahnse (Tabk 123,p.207) Wus umplified bx PCR, cnzyne ApcKI,und visnalized in an #Arosc banding pattemns (Sce Figure 123 The rcsults based upon 0-206 Ihalhurans dinloids presenied below (T...

5 answers

##### Playground merry-go-round. The merry-go Fround and children Three children sit on motionless moment of inertia of 127 kg-m?. An adult comes along and applies a steady force together have distance of 1.1 m from the axis of rotation; moving with the merry-go-round until it has of 19 N at rotated through a full 360-degree (2n radian) full circle: What is the resulting total rotational kinetic and children? Calculate both KErot = and energy KErot and angular momentum L of the merry-go-round and choo

playground merry-go-round. The merry-go Fround and children Three children sit on motionless moment of inertia of 127 kg-m?. An adult comes along and applies a steady force together have distance of 1.1 m from the axis of rotation; moving with the merry-go-round until it has of 19 N at rotated throu...

5 answers

##### 3.2.44Question Heip -According random sample taken at 12 AM, bady tumperalures ol healthy adults have bell-shaped dislributlon with a mean 98 06"F und & standard deviatlon of 0 57"F Using Chobyshev's Iheorem; what do Kncn Uldut Inu purconia 70 healihy adulls wilh body lemperatures that are wthin standard devialione ofthe mean? What ar0 tho Inimium unc Maximum possit0 body temperalures Inat ate tulntn standard deviations Ihe Mcan?Al least of healthy adulls have body temperalure

3.2.44 Question Heip - According random sample taken at 12 AM, bady tumperalures ol healthy adults have bell-shaped dislributlon with a mean 98 06"F und & standard deviatlon of 0 57"F Using Chobyshev's Iheorem; what do Kncn Uldut Inu purconia 70 healihy adulls wilh body lemperatur...

5 answers

##### Virl DNAVlral RNA Fannm More ViralVinl ProtoinsRimantadineantiviral drug once used to fight influenza_ "the flu. Most common strains of influenza are Nd resistant to rimantadine_ so it is no longer used, Rimantadine works by interfering with the virus $ ability bind with an animal cell and insert its genetic material: the diagram, the numbers represent the different stages of viral replication; At which stage does rmantadine work?StageStageStageStage

Virl DNA Vlral RNA Fannm More Viral Vinl Protoins Rimantadine antiviral drug once used to fight influenza_ "the flu. Most common strains of influenza are Nd resistant to rimantadine_ so it is no longer used, Rimantadine works by interfering with the virus $ ability bind with an animal cell and ...

5 answers

##### DETAILSZILLDIFFEQMODAPI1 24.038 0/1 Submissions UsedSolve the glven Inltial-value problem by fnding Example of Sectlon (2 +Y - 3) dx - (y + x) dy, Y(o)odna factor_

DETAILS ZILLDIFFEQMODAPI1 24.038 0/1 Submissions Used Solve the glven Inltial-value problem by fnding Example of Sectlon (2 +Y - 3) dx - (y + x) dy, Y(o) odna factor_...

5 answers

##### Chaptor 16 Practlco ProblemgehoolProblem 16-02 (alaorthmic Problem 16-01The Purchase patterns for two brandstoothoiste can ce expressedMarkot Process witn tne following transitinn propobiliaies;Problem 16-03 (Algorithmtc)Problem 16-05 (Algcrithmic)From Special ADASpecialHdaProblem 16-07 (Algcrithmic)0.250.75Fieblom 10-09 (Ngerithmtc)Which Crand appeanshave the most lova customems?Problem 16-11SpccijiExplain,The inpu:Doy belo Wimacpnded BL mayreviededano consideredVolr Instr LcIor_Knat are the p

Chaptor 16 Practlco Problemg ehool Problem 16-02 (alaorthmic Problem 16-01 The Purchase patterns for two brands toothoiste can ce expressed Markot Process witn tne following transitinn propobiliaies; Problem 16-03 (Algorithmtc) Problem 16-05 (Algcrithmic) From Special ADA Special Hda Problem 16-07...

5 answers

##### Reviowradlo can be luned Inlo parlicular slalion frequency by adjusting Ihe capacitance an L-C circuit Suppose that the minimum capaciiance of variable capacitor in radio 4.19 pFPart AWnzt - the inductanco L of = coil connected to tis capacitor the oscillation gquencv Ot the L C circuit is 53 MHz corrosponding ono ond of tho AM radio broadcast band, whon tho capacitor sot to its minimum capacitanco?Express your answer in henrys to three significant figures.View Available Hint(s)AEtL =SubmitPart

Reviow radlo can be luned Inlo parlicular slalion frequency by adjusting Ihe capacitance an L-C circuit Suppose that the minimum capaciiance of variable capacitor in radio 4.19 pF Part A Wnzt - the inductanco L of = coil connected to tis capacitor the oscillation gquencv Ot the L C circuit is 53 MHz...

5 answers

##### Maggie Perlin; aged 58 years old, is a retired high-tech optical inventor with a retirement portfolio amounting to USSI0 million. Maggie receives monthly royalty income as a result of past successful inventions and she will continue to receive the income until her death: The royalty income is adjusted annually for inflation, and currently is set at USS20,000 per month: Maggie believes her royalty income will be sufficient to cover her cost of living: Her husband died five years ag0 and she has

Maggie Perlin; aged 58 years old, is a retired high-tech optical inventor with a retirement portfolio amounting to USSI0 million. Maggie receives monthly royalty income as a result of past successful inventions and she will continue to receive the income until her death: The royalty income is adju...

5 answers

##### In a random sample of 24 people, it was found that 10 of themlike Product A. Find a 85% confidence interval for thepopulation proportion of people, p , that like ProductA by answering the following questions.a) Check conditions. What is the value of np with hat ontop? What is the value of nqwith hat on top? Your answer should be a whole number.b) What is the value of the point estimate, p with hat ontop? Report your answer to three decimal

In a random sample of 24 people, it was found that 10 of them like Product A. Find a 85% confidence interval for the population proportion of people, p , that like Product A by answering the following questions. a) Check conditions. What is the value of np with hat on top? ...

5 answers

##### Yrnd dire ettow l_ dex) Yahve f_&t Pm the diyecttom$ 0 Joij) 24u1; pl,)) , R =46-3)5

Yrnd dire ettow l_ dex) Yahve f_&t Pm the diyecttom$ 0 Joij) 24u1; pl,)) , R =46-3) 5...

4 answers

##### The function h is defined by h(r) _ 3rt7 r+5Find h (3x) .h (3.)2

The function h is defined by h(r) _ 3rt7 r+5 Find h (3x) . h (3.) 2...

5 answers

##### 1. Use row reduction to solve the following systems of linear equations Indicate the row operations you are performing at each step.a11 + 212 + 284 381 + 582 83 + 634 211 + 4x2 + x3 + 284 281 783 + 11x4617 12(b)81 + 2x2 83 + 384 281 + 4x2 x3 + 6x4 82 + 284 211 312 83 + 4x4253

1. Use row reduction to solve the following systems of linear equations Indicate the row operations you are performing at each step. a 11 + 212 + 284 381 + 582 83 + 634 211 + 4x2 + x3 + 284 281 783 + 11x4 6 17 12 (b) 81 + 2x2 83 + 384 281 + 4x2 x3 + 6x4 82 + 284 211 312 83 + 4x4 2 5 3...

5 answers

##### Raise the number to the given power and write standard notation for the answer: (3-3i)2(3-3i)2 = (Simplify your answer; including any radicals Use integers or fractions for any numbersEnter your answer in the answer box and then click Check Answer: All parts ghowing

Raise the number to the given power and write standard notation for the answer: (3-3i)2 (3-3i)2 = (Simplify your answer; including any radicals Use integers or fractions for any numbers Enter your answer in the answer box and then click Check Answer: All parts ghowing...

5 answers

##### Flx.y) -arctan(2xin (6v)} Select _ that applyHour answer:(uj3 8)) o-(,(9.6))'0 =slope of the tangent Iine the curve obtained intersecting tne surfuce -f(x)planeat the palnt (2,6) is 6(16in* (36) + 1) flx) and pljne y at the polnt (2,6) is zIn(36) 16ln*(36) + 1The slope of the tangent lineCUTve obtained by intersecting the surfaceJ6-"Int6w)+2) Kex?In(6w) + 1y7 The skpe of the tangent Dluled: Kuw*1the curve obtainedsurtactf(r) end plancthe point (2,6) i5 2in(36). I6in*37

flx.y) -arctan(2xin (6v)} Select _ that apply Hour answer: (uj3 8)) o-(,(9.6))'0 = slope of the tangent Iine the curve obtained intersecting tne surfuce -f(x) plane at the palnt (2,6) is 6(16in* (36) + 1) flx) and pljne y at the polnt (2,6) is zIn(36) 16ln*(36) + 1 The slope of the tangent line...