Advance Math question and answers for July 17, 2023
- Q The temperature T at a point (x,y,z) in space is inverselyproportional to the square of the distance from (x,y,z) to theorigin. It is known that T(0,0,1) = 500. a. [2]...
- Q Solve listed initial value problems by using the LaplaceTransform:6.       yll− 3yl − 4y= 4t −5,     y(0) = 2,yl(0) = 4
- Q 1a. An ATM requires a four-digit PIN, using the digits 0-9. Howmany PINs have no repeated digits?1b. How many ways can president and vice president be determinedin a club with...
- Q Find two distinct subgroups of order 2 of the group D3 ofsymmetries of an equilateral triangle. Explain why this fact aloneshows that D3 is not a cynic group.
- Q what is social contract and stakeholder theories of CorporateSocial Responsibility (CSR) andexpalin use the socialdemandingness, social activist and stakeholder theories ofcorporate social responsibility in order to discuss the case studybelow.
- Q Find at least the first six nonzero terms in the power seriesexpansion about x=0 for a general solution to the differentialequation:y'' + (sinx)y = 0
- Q Write Semi-block format3 paragraph100-120 wordsto Mrs. Lauren Peter, Headmaster of Lane Primary School,London, 1 United Kingdom. Describe in your letter one problem thatyou see at school, propose a solution, and...
- Q 1. Define a relation R on the integers by declaring xRy if 2x-3yis odd, the R is:A) transitive, but not symmetric and not reflexiveB) reflexive and symmetric, but not transitiveC)not...
- Q Kilgore's Deli is a small delicatessen located near a majoruniversity. Kilgore's does a large walk-in carry-out lunchbusiness. The deli offers two luncheon chili specials, Wimpy andDial 911. At the beginning...
- Q How can we use Hilbert's theorem 90 to find all Pythagoreantriples?
- Q Question 1: Given a graph with length l(e) on edges, find aminimum length paths from a vertex s to V −s so that among allshortest lengths paths from s to...
- Q Consider the homogeneous second order equationy′′+p(x)y′+q(x)y=0. Using the Wronskian, find functions p(x) andq(x) such that the differential equation has solutions sinx and1+cosx. Finally, find a homogeneous third order differentialequation with...
- Q ALGORITHMS AND ANALYSIS:Show with a counterexample that the greedy approach does notalways yield an optimal solution for the Change problem when thecoins are U.S. coins and we do not have...
- Q Find two power series solutions of the following differentialequations.y'' - xy' = 0
- Q introduction and background on the design of watersupply system. Present the concepts of water flow in piping systemfocusing on energy equation (Bernoulli equation), head losses, andmomentum. Support all the information...
- Q if y(t) is the solution of y′′+2y′+y=δ(t−3),y(0)=0,y′(0)=0 thefind y(4)
- Q Thelatitude of any location on Earth is the angle formed by the tworays down from the center of Earth to the location and to theequator. The ray through the location...
- Q Let B = (p0, p1, p2) be the standard basis for P2 andB = (q1, q2, q3) where:q1 = 1 + x , q2 = x + x2 and q3...
- Q Use the Fourier-Motzkin Elimination method to solve problem4.1-5 from the textbook (10th edition).Maximize Z=x1 + 2x2,subject tox1 + 3x2 <=8x1 + x2 <=4andx1 >=0, x2>=0.
- Q Determine all maximal planar graphs G of order 3 or more suchthat the number of regions in a planar embedding of G equals itsorder.
- Q Give an example of two non-isomorphic maximal planar graphs ofthe same order.
- Q True or False? For any two events A and B, P(A∩ B) ≥ 1 − P(A∪B)True or False? For any two independent events A and B, P(A| B) =P(A| Bc...
- Q Find the matrix A representing the follow transformations T. Ineach case, check that Av = T(v)Step by step please.A. T(x,y,z) = (x-3y+4z, 6x-2z, 8x-y-4z)B. T(x,y) = (x,y,y-x,x+y, 6x-9y)Thank you!
- Q 6a. Show that 2/n = 1/3n + 5/3n and use this identity to obtainthe unit fraction decompositions of 2/25 , 2/65 , and 2/85 as givenin the 2/n table in...
- Q Find the eigenvaluesλnand eigenfunctionsyn(x)for the given boundary-value problem. (Give your answers interms of n, making sure that each value of ncorresponds to a unique eigenvalue.)x2y'' + xy' + λy =...
- Q 1.Another couple is only willing to have 5 children, but they alsowant to have a boy and a girl, and they too will stop as soon asthey have one of...
- Q An investor is considering purchasing one of three stocks. StockA is regarded as conservative, stock B as speculative, and stock Cas highly risky. If the economic growth during the coming...
- Q Bylooking at two linear equations, how can you tell that thecorresponding lines are parallel, the same graph, or intersectinglines? How many solutions does each possibility have and why isthat? Show...
- Q Prove for the system of ordinary differential equations x'=-x,and y'=-5y the origin is lyapunov stable, attracting andasymptotically stable using the EPSILON DELTA definition of each.The epsilon and delta that make...
- Q p(x) = a0 +a1x +a2x2 + · · · +akxk is a polynomial of degreek. What is the Taylor series of p(x),and its radius and interval of convergence.
- Q Prove1. Let f : A→ B and g : B → C . If g 。 f is one-to-one, then fis one-to-one.2. Equivalence of sets is an equivalence relation (you...
- Q can a vector with dimensions R^N and a vector with dimensionsR^N+1 be a matrix? and if so what would it dimension size be?
- Q ï¬nd the general solution of the given differential equation.1. y''+2y'−3y=02.  6y''−y'−y=03.  y''+5y' =04.  y''−9y'+9y=0
- Q In a manufacturing company at present, the pattern shop and themaintenance department are located in the same room. One largecounter is used by both maintenance personnel to get tools andparts...
- Q 3. Solve the following differential equationx^2y’’ − 2xy’ + 5y = 0.A coil spring is suspended from the ceiling, a 16-lb weight isattached to the end of it, and the...
- Q The number of new businesses established in the US since1990 can be modeled by the functionNx=110.8x^3-5305.5x^2+76,701x+332,892 where x = 0 represents 1990and the domain is [0, 25]. Â Â According to the...
- Q 2(a) Differentiate and integrate the following equations withrespect to x: x2 + x – 12 = 0(b) cos(x) + sin(x) + 15x3 = 0 3%(c) e2x + 5x2 = 0...
- Q The questions below are about 2×2 autonomous systems of ODE.Parts (a) and (b) are unrelated. (a) Find the equilibrium solutions(critical points) of the system dx/dt = 2x−xy, dy/dt =−y+xy.(b)Consider the...
- Q Problem 1. We are going to multiply the two polynomials A(x) = 5− 3x and B(x) = 4 + 2x to produce C(x) = a + bx + cx2 in...
- Q Problem 2. Use the FFT algorithm to evaluate f(x) = 8 − 4x + 2x2 + 3x 3 − 5x 4 − 4x 5 + 2x 6 + x 7...
- Q Determine if the following is is reflexive, symmetric,antisymmetric and transitive and why?x relates y <-> x divides y 2 (on all positivenumbers)
- Q Differential Equations. A 10kg weight is attached to a wallhorizontally via a spring. The rest (equilibrium) length of thespring is 0.2m. The spring has stiffness coefficient k = 50. Theweight...
- Q According to​ Kepler's first​ law, a comet should have an​elliptic, parabolic, or hyperbolic orbit​ (with gravitationalattractions from the planets​ ignored). In suitable polar​coordinates, the position left parenthesis r comma script...
- Q Compare your sample estimate to the current mean gas in theState of Ohio. Find the mean price of gasoline in the State ofOhio. You might try this GasBuddy website. Set...
- Q Sketch the graph of a function f(x) that satisfies all the givenconditions. Clearly label any asymptotes, extreme values and pointsof inflection.f(x) is only discontinuous at x = −4.f(x) has a...
- Q 1.Find the derivative of the product between a scalar functionand a vector function using the product formula.2. Find the volume of an irregular solid using tripleintegration, the first integral should...
- Q How would I prove this ?R > A / R > ( A v W )I was thinking that this would work but I am not sure.2. R > (A...
- Q Question 2: A bipartite graph with 2n vertices (namely |V1| =|V2| = n) is d-regular if and only if the degree of every vertex inV1 ∪ V2 is exactly d....
- Q 6.Used for loop, create a table that convert angle values fromdegrees to radians, from 0 to 180 degrees, in increments of 4.7. Apply the same operation using the vectorization
- Q Prove that R(4; 4) = 18.
- Q A) Using the scenario described by “Each store employs one ormore employees; each employee is employed by one storeâ€, work thefollowing problems: 1. Identify each entity. 2. Identify eachrelationship type....
- Q You invest your $2500 COVID-19 stimulus check into 3 separateaccounts. The Certificate of Deposit (CD) pays 4% interestannually. The stock market pays 5% annually. The toilet paperhoarding business pays 10%...
- Q 11. Solve numerically the following Boundary ValueProblem.X2Y†– X(X+2)Y’ +(X+2)Y = 0Y(1) = e and Y(2) =2e2The value of e =2.71828
- Q List some examples explaining how quadratic equationsare used in business.
- Q For each of the following polynomials, determine the number ofthe roots that are in the LHP, in the RHP, and on the jw-axis.i. s3 + s + 2 = 0ii....
- Q Using the appropriate method, find the volumegenerated by revolving the planebounded by y − 3 = x^2, y= √x , and x = 0 about y = −3.
- Q What is similarity and difference between first principleinduction mathematical and second principle induction mathematical?When to use each principle? are there characteristics thatdistinguish the issue to be solved by the first...
- Q In a certain country license plates consist of zero or one digitfollowed by four or five uppercase letters from the Romanalphabet.(a)How many different license plates can the country produce?(b)How many...
- Q 1. Find a Cartesian equation for the curve.r cos(θ) = 2Identify the curve.2. Find a Cartesian equation for the curve.r = 4 sin(θ)Identify the curve.
- Q a) How many arrangements of all the letters in AABBCCD startswith A but does not end with A?b) Find the number of arrangements of all the letters in AABBCCDin which...
- Q 1) Define a sequence of polynomials H n (x ) by H 0 (x )=1, H 1(x )=2 x , and for n>1 by H n+1 (x )=2 x H...
- Q Find the closed formula solution to each of the followingrecurrence relations with the given initial conditions. Use aniterative approach and show your work! What is a_100? a)a_n=a_(n-1)+2,a_0=3 b) a_n=a_(n-1)+2n+3,a_0=4 c)a_n=2a_(n-1)-1,a_0=1...
- Q canthe concepts of calculus be explained to 5th graders?
- Q A rubber ball is dropped from a height of 30 feet, and on eachbounce it rebounds up 22% of its previous height. How far has theball traveled vertically at the...
- Q \"Brief Discuss Homogeneous Differential Equations.\" This is thepresentation topic of my Subject Differential Equation.Explain in a simple way
- Q Estimate the lowest eigenvalue pair of matrix A using theInverse Power MethodA = 2  8 108 4 510 5 7starting with initial guess x0 = [1 1 1]T and εaλ ≤...
- Q I need the answers simple and in order please!!! go with theletter a,b,c etc.Ahmadi, Inc. manufactures laptop and desktop computers. In theupcoming production period, Ahmadi needs to decide how many...
- Q Creatine and protein are common supplements in most bodybuildingproducts.  Bodyworks, a nutrition health store, makes apowder supplement that combines creatine and protein from twoingredients (X1 and X2). Ingredient X1 provides 20...
- Q Manny was arrested as the main suspect in a murderinvestigation. Manny was brought into an interrogation room, butwas not read his Miranda rights. A police officer asked Manny,“Where were you...
- Q 6) Consider the differential equation yJJ +byJ + 16y = 0 For which value(s) of b does thesolutionI. decay rapidly to 0 as t → ∞II. oscillate regardless of t...
- Q Given the differential equationy''+y'+2y=0,  y(0)=−1,  y'(0)=2y′′+y′+2y=0,  y(0)=-1,  y′(0)=2Apply the Laplace Transform and solve for Y(s)=L{y}Y(s)=L{y}. Youdo not need to actually find the solution to the differentialequation.
- Q If f(x)=sign(x−2)+|x+2| for (-4,4] and you extend f(x) to aperiodic function on the real line, and F(x) is the Fourier seriesof f(x). Which of the following options are correct? (Select...
- Q ICE13B - “How long will the money last?†You begin on 1 January2015 by making an initial deposit of $5,000 to open a savingsaccount at Bank of Mason. This account...
- Q Pirates are attacking the coastal town of Townberg. The pirateshavea cannon on their ship which can fire a cannonball at 440 meterspersecond.(a) Suppose the pirates fix the cannon at an...
- Q (Advanced Calculus and Real Analysis) - Lebesgue outermeasure* Please prove that the Cantor set C has Lebesgue outermeasure zero.
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