Advance Math question and answers for August 22, 2023
- Q Solve the linear second-order ODE for each case of b. Findconstants using the given initial conditions.y(0)=1, y'(0)=0y''+by'+16y=0b=0b=2b=8b=10say b represents damping constant. What is the effect of dampingon the motion of...
- Q A poker company assembles three different poker sets. Each RoyalFlush poker set contains 1000 poker? chips, 4 decks of? cards, 10?dice, and 2 dealer buttons. Each Deluxe Diamond poker set...
- Q How many zeros are there at the end of 2019! in octal notation?
- Q Consider the matrix of Hibert H100 and thesystem HX = b, where b is a columnvector from 1 to 100. Solve the system in the following three ways-->1) X =...
- Q Discrete mathematics function relation question. I justcan not understand how partial functio works. for example, I thinka) is nottotal function, because y+5=3x is not always true forevery domain. However, I...
- Q Find the exact solution : y''+9y'=cos?t, y(0)=0,y'(0?=1
- Q Suppose (A,?) be an associative, unital, binary operation withinverses. Show that if|A|?3,then in fact, (A,?) isalsocommutative,even though we didn’t assume it at the beginning.
- Q Which one of the improper integrals below converges ordiverges?[int _a ^b] means integral from a to b, we useinf to indicate infinity.a) [int _0 ^1] 1/x dxb) [int _0 ^1]...
- Q Prove: There are in?nitely many primes congruent to 3 modulo 8.Hint: Consider N =(p1p2···pr)2 + 2.
- Q Before we begin graphing systems of equations, a good startingpoint is to review our knowledge of 2-D graphs. These graphs areknown as 2-D because they have two axes. Find an...
- Q prove or disprove using logical equivalences(a) p ? (q ? r) ?? (p ? q) ? r(b) x ? (¬y ? z) ?? ((x ? y) ? ¬z) ? (x...
- Q Consider a Math class with 15 female students and 14 malestudents.a) How many different 5 people committees with exactly 3 femalesand 2 males are possible? Justify your answerb) How many...
- Q incorrect,7.3.13 Twelve different video games showing substanceuse were observed and the duration of times of game play? (inseconds) are listed below. The design of the study justifies theassumption that the...
- Q Find a characterization of primes p such that 3 is a square modp and then prove it.
- Q What is the benefit of using Fourier transforms in complexformulation.
- Q 1. Implement the Explicit Euler Scheme for Initial Value Problems of the form: y'(t) = F(t, y(t)) , t0 ? t ? tend y(t0)...
- Q What does it mean when a question states explicit conjugancybetween to systems how is this different than just finidng theconjugancy?
- Q Solve the following equations in non-negative integers.1. x2 -y2 = 2212. a + b = ab3. gcd(a,b)lcm(a,b) = b +94. x4 +2x3 - y2(1+2x) +x2(1-y2) = 2299
- Q Consider the following second-order ODE: (d^2 y)/(dx^2 )+2dy/dx+2y=0 from x = 0 to x = 1.6 with y(0) = -1 and dy/dx(0) = 0.2.Solve with Euler’s explicit method using h...
- Q Find the exact solution : y''+9y'=cos?t, y(0)=0,y'(0?=1
- Q What is the process of obtaining a Fourier series solution forthe heat equation with Dirichlet boundary conditions and anarbitrary initial condition.
- Q We define a relation ? on R^2 by (x1,y1)?(x2,y2) if and only if(y2?y1) ? 2Z. Show that the relation?is an equivalence relation anddescribe the equivalence class of the point (0,1).
- Q Sunshine Juices sold $16.6 million in the U.S. pomegranate juicedrink market last year, but the 11.4 million customers who boughtfrom Sunshine Juices spent a total of $39.2 million in this...
- Q Graph a sample space for the experiments:In drawing 2 screws from a lot of right handed and left handedscrews. let A,B,C,D mean at a least 1 righthanded, at least 1...
- Q Compare and contrast the approaches taken by Newton andLeibniz to find a derivative of a function.
- Q You are the treasurer of the new island kingdom PolarKoordinatea where no calculators are allowed. The Queen summons youand gives you 24h to design a coin for the kingdom. After...
- Q Find the steady-state current ip(t) in an LRC-series circuitwhen L = 1 2 h, R = 20 ?, C = 0.001 f, and E(t) = 100 sin(60t) +200 cos(40t) V.ip(t)
- Q A) Define the words submartix and minor, and use theses todefine the determinant? with exampleB) example how to convert a linear system of equation and itsmatrix representation?
- Q PART A)Biologists stocked a lake with 400 fish and estimated thecarrying capacity (the maximal population for the fish of thatspecies in that lake) to be 5300. The number of fish...
- Q Use Newton's method to find all solutions of the equationcorrect to six decimal places. (Enter your answers as acomma-separated list.)sqrt(x + 1) = x^2 ? xWhat does x equal?
- Q In biotechnology, where do you use differential equations? Whatkind of problems can we solve with them?
- Q Use OctaveGiven a matrix M ? M mn , each function should first ensure thatthe matrix has the proper size (e.g., besquare if the definition involves a square matrix). Until...
- Q Prove that the set R ={ a+ b?2+c?3+d?6 , a,b,c,d belongs to Q }is a field
- Q The Johnsons have accumulated a nest egg of $40,000 that theyintend to use as a down payment toward the purchase of a new house.Because their present gross income has placed...
- Q Solve the following initial-value differentialequations using Laplace and inverse transformation.y''-y=3e^(2t), y(0)=6, y'(0)=3
- Q 1.a) A monic polynomial is a polynomial which has leadingcoefficient 1. Find the real, monic polynomial of the lowestpossible degree which has zeros ?1?i,?2i and 3i, and z is thevariable.b)...
- Q Let L1 be the line passingthrough thepoint P1=(?3, ?1, 1) with directionvector ?d1=[1, ?2, ?1]T, andlet L2 be the line passing through thepoint P2=(8, ?3, 1) with directionvector ?d2=[?1, 0, 2]T.Find the shortest distance d between these two lines, andfind a point Q1 on L1 anda point Q2 on L2 sothat d(Q1,Q2) = d. Use thesquare root symbol '?' where needed...
- Q Let A be a set with m elements and B a set of n elements, wherem; n are positive integers. Find the number of one-to-one functionsfrom A to B.
- Q certain birth defects and syndromes are polygenetic in nature.typically , fhe chance that an offspring will be born withpolygenetic affilction is small. however once the offspring is bornwith fhe afflixtion...
- Q Find general solutions of the following systems usingundetermined coefficients.X? =(2x2 matrix) ( 2 2; 3 1 ) X + (column matrix) ( e^?4t; 0)
- Q Let A be such that its only right ideals are {¯0} (neutralelement) and A. Show that A or is a ring with division orA is a ring with a prime...
- Q Approximately howmany flops are needed to find the LU factorization of an nx n matrix using Doolittle’s method? If a computer requires 1second to find an LU factorization of a...
- Q Humid air at 155 kPa,40°C, and 70 percent relative humidity is cooled at constantpressure in a pipe to its dew-point temperature. Calculate the heattransfer, in kJ/kg dry air, required for...
- Q 2. Let f(x) ? 0 on [1, 2] and suppose that f is integrable on[1, 2] with R 2 1 f(x)dx = 2 3 . Prove that f(x 2 )...
- Q After studying the material in this module, please solve andsubmit the following problems from the module reading assignment onSets from Math in Society, by D. Lippman (v. 2.4): #6, 14,...
- Q q) a)Parametrize the following paths from (?2, 0) to (2, 0) inthe xy-plane:• A straight line path.• A path consisting of three lines: (?2, 0) to (?2, 2), from (?2,2)...
- Q Prove that the number of partitions of n into parts of size 1and 2 is equal to the number of partitions of n + 3 into exactlytwo distinct parts
- Q x^2 y ?? + xy? + ?y = 0 with y(1) = y(2) and y ? (1) = y ?(2)Please find the eigenvalues and eigenfunctions and eigenfunctionexpansion of f(x) =...
- Q 4. Let a < b and f be monotone on [a, b]. Prove that f isRiemann integrable on [a, b].
- Q Problem formulation:The company wants to increase the availabel sortiment from 2types of glasses to 3 types. A productionline already produces 2 different types of glasses: 6oz juiceglasses and 10oz cocktail...
- Q Show that a graph T is a tree if and only if for every twovertices x, y ? V (T), there exists exactly one path from x toy.
- Q discrete mathematics1. Show that if a | b and b | a, where a and b areintegers, then a = b or a = -b. //Ex. 5, Page 208.2.Show that if a,...
- Q Draw a sketch of z ? C | Im((3 ? 2i)z) > 6 .2. Express z = ?i ? ? 3 in the form r cis ? where ? =...
- Q Perpetuity A pays $100 at the end of each year. Perpetuity B pays $25 at the end of each quarter. The present value of perpetuity A at the effective rate...
- Q Residents were surveyed in order to determine whichflowers to plant in the new public garden. A total of N peopleparticipated in the survey. Exactly 9/14 of those surveyed saidthat the...
- Q Definition 2.3.2 in our book defines the power set of a set S,denoted by P(S), as the set of all subsets of S, that is P(S) = {A: A ?...
- Q partial deffrential equation formula for social networks
- Q Let ? be the relation on P(Z) defined by A ? B if and only ifthere is a bijection f : A ? B. (a) Prove or disprove: ? isreflexive....
- Q You take out a $480,000 mortgage for 30 years at 5.5% interestcompounded monthly. Create an amortization schedule below for thefirst 3 periods of payment.PeriodPaymentInterestBalanceUnpaid Balance$480,000123How much do you pay in...
- Q The metric space M is separable if it contains a countable densesubset. [Notethe confusion of language: “Separable” has nothing to do with“separation.”](a) Prove that R^m is separable.(b) Prove that every...
- Q Show that for all ? ? Sn we have sgn(?) = sgn(??1). Does ? =(1,2,3,5,4)?1 ? S13 belong to the alternating group A13? Justifyyour answer
- Q How do you imagine the graph of a three variablesystem of three equations would look? How about the graph of asystem of four equations in four variables?First, think about a...
- Q Solve a system of equations:1-2x = 5 mod 15 3x = 1 mod 42-x = 5 mod 15x = 2 mod 12(Hint: Note that 15 and 12 are not relatively prime....
- Q Problem 7.1. Let f (x, y) = x4 ? 3xy + 2y2.(a) Compute the partial derivatives of f as well as itsdiscriminant. Then usesolve to find the critical points and...
- Q a company sells eyeglasses. The company incurs a one-timefixed cost for $250,000. Each eyeglasses costs $140 to produce, andsells for $160.a. Find the cost function, C, to produce x eyeglasses,...
- Q A ball is thrown vertically upward from the top of a building112 feet tall with an initial velocity of 96 feet per second. Thedistance s ?(in feet) of the ball...
- Q Describe three different families of soultion curves. You shoulddescribe how they are different and why this makes sense based ontheir initial condition.
- Q The question is to use Matlab to find the clamped cubic splinev(x) that interpolates a function f(x) that satisfies: f(0)=0,f(1)=0.5, f(2)=2, f(3)=1.5, f'(0)=0.2, f'(3)=-1 and then plotv(x).This is my code...
- Q Abstract algebra:Deduce the main theorem of Galois theory from Artin's lemma.
- Q There exists a group G of order 8 having the followingpresentation: G=?i,j,k | ij=k, jk=I, ki=j, i^2 =j^2 =k^2?. Denotei2bym. Showthat every element of G can be written in the...
- Q Find the volume of the solid using triple integrals. The solidbounded below by the conez= sqrx2+y2 and bounded above by the spherex2+y2+z2=8.(Figure)Find and sketch the region of integration R.Setup the...
- Q Let Z denote the set of all integers. Give an explicit bijectionf : Z ? N
- Q Can someone please explain to me the relationship betweenStoke's theorem, Green's theorem, and the Gradient theorem. andgive one example each for 0,1 and 2 forms. As a Calc 3 student,...
- Q Exercises 2.4.4 and 2.5.4 establish the equivalence of the Axiomof Completeness and the Monotone Convergence Theorem. They alsoshow the Nested Interval Property is equivalent to these other twoin the presence...
- Q Can you provide me the definition of "Mixing Problem" inDifferential Equation? Also, an example question and its solutionfor "Mixing Problem". Thanks a lot.
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