Advance Math question and answers for August 29, 2023
- Q letA =[4 -52 -3]find eigenvalues of Afind eigenvector of A corresponding to eigenvlue in part1find matrix D and P such A= PDP^-1compute A^6
- Q Exercise 2.4.1: Proofs by contradiction. About Give a proof foreach statement.(c)The average of three real numbers is greater than or equal toat least one of the numbers.(e)There is no smallest...
- Q Let f(x) = ?3+(3x2 ?x+1) ln(2?x?5)(a) Find the derivative of f.(b) Using the derivative and linear approximation, estimatef(9.1).
- Q Find the charge on the capacitor in an LRC-seriescircuit att = 0.04 swhenL = 0.05 h,R = 1 ?,C = 0.04 f,E(t) = 0 V,q(0) = 5 C,andi(0) = 0...
- Q [Discrete math]Show that it is possible to arrange the numbers 1, 2, . . . ,nin a row so that the average of any two of these numbersnever appears between...
- Q Provide an example of a study when extrapolation woulddefinitely lead to incorrect results. Explain your reasoning.
- Q using MATLAB :x = [0.3036 0.6168 0.7128 0.7120 0.9377 0.7120 0.3989 0.30280.3036 0.5293];y = [0.1960 0.2977 0.4169 0.1960 0.2620 0.5680 0.6697 0.78890.5680 0.5020];reflect the model about the horizontal line y...
- Q 1. Solve the initial value problem below using the method ofLaplace transforms.56w???4w?+4w=16t+56?, w(?3)=2?, w'(-3)=22. Solve for? Y(s), the Laplace transform of the solution? y(t)to the initial value problem below.ty???6y?+9y=cos5t?sin5t?, y(0)=4?,...
- Q 1. Solve the? third-order initial value problem below using themethod of Laplace transforms.60y???+8y??+11y??20y=?60?, y(0)=11?, y?(0)=?10?, y"(0)= 502. Use the method of Laplace transforms to find a generalsolution to the differential...
- Q Feature selection is the process of reducing the dimensionalityof the feature space to increase performance and decrease runningtime (since there are fewer features). Outline a feature selectionmethod for the unigram...
- Q The eigenvalues of the coefficient matrix can be found byinspection or factoring. Apply the eigenvalue method to find ageneral solution of the system.x'1 = 6x1 + 6x2 +2x3x'2 = -8x1...
- Q Cost of Production ReportThe Cutting Department of Karachi Carpet Company provides thefollowing data for January. Assume that all materials are added atthe beginning of the process.Work in process, January 1,...
- Q DISCRETE MATH1.Prove that the set of all integers that are not multiples ofthree is countable.
- Q give a example 0f a measurment error .describe a situation inwhich it might occur and why is poses a problem for statistic ifthe sample size increases and everything els remains...
- Q What is the gradient of the least squares loss withregularization? This classifier is actually called ridgeregression. Hint: Recall the least squares loss for a given pointxi is (yi-(wTxi+w0))^2 .The regularized...
- Q Consider the movie ticket and popcorn example discussed inSection 17.7. The theater sells two products, tickets and popcorn.Suppose the weekly demand for movie tickets is Qdtix=500?25Ptix?20Ppopcorn,where Ptix andPpopcorn are the...
- Q 1. Write the negation of each statement:(a) ?? ? ?, ?? ? ? such that ? < ? 2.(b) ?? ? ?, ??, ? ? ? such that ? =...
- Q Suppose that a “word” is any string of six letters. Repeatedletters are allowed. For our purposes, vowels are the letters a, e,i, o, and u. a) How many words are...
- Q The table shows the specifications of an adjustable ratemortgage? (ARM). Assume no caps apply. Find? a) the initialmonthly? payment; b) the monthly payment for the second?adjustment; and? c) the change...
- Q In parts 1–2 below, determine whether or not ? is a subgroup of?. (Assume that the operation of ? is the same as that of ?.).(2)1. ? = ?R, +?,...
- Q Obtain the general solution of the following equations:r Utt ? c^2 r Urr ? 2 c^2 Ur = 0, c = constant,
- Q On a $375,000 home loan, you can either finance at 5.6% for 20 or30 years. Find the monthly payment and the total paid over eachloan. Which loan do you pay...
- Q A steel company is considering the relocation of one of itsmanufacturing plants. The company’s executives have selected fourareas that they believe are suitable locations. However, they wantto determine if the...
- Q Two tanks contain a mixture of water and alcohol with tank Acontain- ing 500 L and tank B 1000L. Initially, the concentrationof alcohol in Tank A is 0% and that...
- Q 5.State and proof the existence and uniqueness of the Laplacetransform.6.State and proof the linearity properties of the Laplacetransform.18.State and proof the first shifting theorem.
- Q Consider functions f : {1,2,3,4}?{1,2,3,4,5,6}.a) Give an example of one such function (use 2-line notation).Then say how many such functions there are and why your answermakes sense.(25 points)(b)Give one example...
- Q Portsmouth Company makes upholstered furniture. Its onlyvariable cost is direct materials. The demand for the company'sproducts far exceeds its manufacturing capacity. The bottleneck (orconstriant) in the production process is upholstery...
- Q 6. Consider the one dimensional wave equation with boundaryconditions and initial conditions:PDE : utt = c 2 uxx, BC : u(0, t) = u(L, t) = 0, IC : u(x,...
- Q Find Mean, median, varianca and standard deviationfor:6, 10, 18, 25, 13, 16, 11, 7, 11.
- Q What is Normal, Binomial, Poisson and Exponential Distributionswith examples.What is Continuous Distributions and Density Functions.What is Normal density and Standardizing: Z-Values
- Q The original toy of Edouard Lucas had 8 disks. Suppose you wereto carry out the moves to transfer the disks from one post (A) toanother post (B) on this toy....
- Q YearTime (sec)191282.2192472.4193266.8195266.8196061.2196860.0197655.65198455.92199254.64200053.8200853.1gives the gold medal times for every other Summer Olympics forthe women’s 100-meter freestyle (swimming). ^^^a. Decide which variable should be the independent variable andwhich should be the dependent...
- Q True or False: Profitability index is the PV of future cashflows divided by the initial investment. A result of greater than.9 is desired.
- Q Solve in Matlab please. An ltic system is specified by the eq:(D^2+4D+4) y(t) = Dx(t)a) Find the characteristic polynomial, char. equation, char.roots, and char. modes.b) find y0(t), zero-input component of...
- Q On top of the its own price effect on sales, Mr. Wok is alsointerested how the sales will change as Competitor’s pricechanges.Please use data in “Linear regressionswith competitor price.xsls”Estimate the...
- Q 1. Answer the following questions regarding permutations andcombinations.How many different 5-digit octal numbers are there which do notcontain the digit 0?How many different 5-digit octal numbers are there which do...
- Q Theorem: Let K/F be a field extension and let a ? K be algebraicover F. If deg(mF,a(x)) = n, then1. F[a] = F(a).2. [F(a) : F] = n, and3. {1,...
- Q In financial terms, what is the biggest downfall to usingpayback rather than discounted payback when analyzing a project?The first choice always seems to be best. It does not account fortime...
- Q 1. Show that the following argument is invalid by writing outits logical form and substituting new terms that demonstrate itsinvalidity.Some policemen are handsomeSome nurses are not handsomeSome policemen are nurses2.Show...
- Q Use Eulers method to find approximate values of the solution ofthe given initial value problem at T=0.5 with h=0.1.12. y'=y(3-ty) y(0)=0.5
- Q Use the method of variation of parameters to determine thegeneral solution of the given differential equation.y????2y???y?+2y=e^(8t)
- Q a) find a solution to the system, if possible. If no solutionexists, explain how you know. b) find the entire solution set ofthe system. c) What is the smallest non...
- Q Determine whether the set StartSet left bracket Start 3 By 1Matrix 1st Row 1st Column 1 2nd Row 1st Column 0 3rd Row 1st Columnnegative 3 EndMatrix right bracket comma...
- Q . Consider a Bessel ODE of the form:x^2y"+xy'+(x^2-1)y=0What is the general solution to this ODE assuming that thedomain of the problem includes x=0? Why?
- Q Classify all of the units in Z3[i] and Z5[i]. List them all in eachcase. (ring theory question)
- Q A small town gets its water supply from three nearby lakes, A,B, and C. Sometimes in the late summerthe water level in a lake falls below a certain critical level.When...
- Q A movie monopolist sells to college students and other adults,as in Worked-Out Problem 18.2 (page 635). The demand function forstudents is QdS=1,000?100P,and the demand function for other adults is QdA=4,500?100P.Marginal...
- Q Human Resource Consulting (HRC) surveyed a random sample of 53Twin Cities construction companies to find information on the costsof their health care plans. One of the items being tracked is...
- Q 1a. Eliminate the parameter t to rewrite the parametricequation as a Cartesian equation.x(t)=cos(t) + 1y(t)=7 sin2(t)1b. A dart is thrown upward with an initial velocity of 68 ft/sat an angle...
- Q 5. You are looking for a home in three neighborhoods. In oneneighborhood, the mean price is much smaller than the median price.In a second neighborhood the mean and median price...
- Q 1a. Consider the sequence {?? }n?0 which starts1,2,7,20,61,122,..., defined by the recurrence relation ?? = 2???1+ 3???2 and initial conditions ?0 = 1, ?1 = 2. Solve the recurrencerelation. That...
- Q What solutions did nineteenth-century analysts like Cauchy andWeierstrass find to the philosophical difficulties connected withinfinitesimals?
- Q Let G be a group and a be an element of G. Let ?:Z?G be a mapdefined by ?(n) =a^{n} for all n?Z. a)Show that ? is a grouphomomorphism. b)...
- Q In each of the following, show that ? is a subgroup of ?.(1)1. ? = ?F(R), +?, ? = {? ? F(R): ?(?)=0 for every ??[0,1]}.2. ? = ?F(R), +?,...
- Q Do the following problems:a. Use mathematical induction to show that 1 + 2 + 22 +···+ 2n =2n+1 ? 1 for all non-negative integers n.b. A coin is weighted so...
- Q Can you please give an original example of a applicationintegration hierarchy and explain it for me; you can give one or upto 3 design examples (i.e., data sharing, functionality sharing,...
- Q Suppose the lengths of human pregnancies are normallydistributed with mu?equals=266266 days and sigma?equals=1616 days.Complete parts ?(a) and? (b) below. ?(a) The figure to the rightrepresents the normal curve with mu...
- Q The Binary Insertion Sort Algorithm is a variation ofthe Insertion Sort Algorithm that uses a binary search techniquerather than a linear search technique to insert the ithelement in the correct...
- Q verify the assertion. (Subspace example)1) The set of continuous real-valued functions on the interval[0,1] is a subspace of R^[0,1]This is from Linear Algebra Done Right- Sheldon Axler 3rdedition.I don't understand...
- Q Let ?be the solid region bounded by the surfaces ?=10??2??2and?=1. Let ?be the boundary of ?. If ??=<?,?,?>, compute thetotal flux over ?in two ways:(a)Directly as a surfaceintegral.Include a sketch...
- Q An n-bit binary string is a sequence of lengthn over the alphabet {0,1}.How many n-bit binary strings are there?How many n-bit binary stringsb1,…,bn are there such thatb1b2?00? In other words,...
- Q Consider a single server system with a limit of 3 jobs (anM/M/1/3 system). Let ? be the mean arrival rate and ? be the meanservice rate.(a) Use the singleton subset...
- Q Let (G,·) be a finite group, and let S be a set with the samecardinality as G. Then there is a bijection ?:S?G . We can give agroup structure to...
- Q Problem 6. Let Pd (2, C) denote the vector space ofC-polynomials in two variables, of degree ? d.Define a linear map S : P2(2, C) ? P2(C) by S(p) :=...
- Q Miles driven by millennials. In 2009, the number of miles drivenper year by persons aged 16–34 was 7,900. Assume that the number ofmiles driven was decreasing by 300 miles per...
- Q choose an application of multivariable calculus to your field ofstudy (or another interest) and make an infographic about thatapplication. Can you help me find a topic about multivariablecalc?
- Q (a) Suppose K is a subgroup of H, and H is a subgroup ofG.If |K|= 20 and |G| = 600, what are the possible values for|H|?(b) Determine the number of...
- Q Cholesterol is an established risk factor for developing heartdisease. Among older age groups, men tend to have lowercholesterol than women on average but the same is not necessarilytrue for younger...
- Q Use the power series method to solve the given initial-valueproblem. (Format your final answer as an elementary function.)(x ? 1)y'' ? xy' + y = 0, y(0) = ?7, y'(0)...
- Q 1. (5) Given the IVP xdy/dx- y = 2x^2;y (1) = 5: (a) Write theDE in standard form.(b) Compute the integration factor, (x): Show your work.(x) =(c) Find the general...
- Q use laplace transform to solve the initial value problem:y''+4y=3sint y(0)=1, y'(0)=-1
- Q Paper trim problem: The Oblivion Paper Companyproduces rolls of paper for use in adding machines, deskcalculators, and cash registers. The rolls, which are 200 feetlong, are produced in widths of...
- Q Give an example of a square matrix A such that all the diagonalentries are positive but A is not positive definite
- Q Don't copy answers from other onesit's different question Look carefully thanksDescribe the strings in the set S of strings over the alphabet ?= {a, b, c} defined recursivelyby (1) c...
- Q Q33 Answer the following questions:(a) What is the primary difference between a periodic inventorysystem and a perpetual inventory system? [2 Marks](b) A company usually reports on different types of inventory.Elaborate...
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