Advance Math question and answers for July 16, 2023
- Q Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the criticalpoint of the function f(x, y) = (90)x 2 + (0)xy + (90)y 2 + (−72)x+ (96)y +...
- Q Use Newton's method to find a solution for the equation in thegiven interval. Round your answer to the nearest thousandths. ? 3 ?−? = −? + 4; [2, 3] [5...
- Q Suppose A is (10, 2, 5, 9, 1, 8, 2, 4). Consider thefunction:int BBOX(int n, int k)Â Â Â Â Â Â Â Â Â Â Â if (n <= 0) return 0;Â Â Â Â Â Â Â Â Â Â Â else if (A[n] < k) return (1+ 2*BBOX(n-1,k+1));Â Â Â Â Â Â Â Â Â Â Â else return...
- Q Determine whether the polynomials form a basis for P3:1 − 2t ^2 , t + 2t^3 , 1 − t + 2t^2
- Q you are given a cell phone bill. You are charged $52for the month. There is a $40 monthly fee and you are charged $4per megabyte of data used.Construct a linear...
- Q The following kets name vectors in the Euclidean plane:|a>, |b>, |c>.Some inner products: <a|a> = 1, <a|b> = −1,<a|c> = 0, <b|c> = 1, <c|c> = 1(a) Which of the...
- Q Suppose that the coefficient matrix of a homogeneous system ofequations has a column of zeros. Prove that the system hasinfinitely many solutions. What are the possibilities for thenumber of solutions...
- Q Q1- Out of Trapezoidal rule and Simpson’s 1/3rd rule which oneis better explain in detail. Also solve one application basedproblem using that rule. Compare the exact and approximate resultto compute...
- Q ( X, τ ) is normal if and only if for each closedsubset C of X and each openset U such that C ⊆ U, there exists an open set...
- Q Brooklyn Inc. offers boat tours down the Hudson River. Thecompany has signed a lease for a tour boat with an expectedlifespan of seven years, no estimated salvage value, and a...
- Q A circle is divided in 6 sectors by 3 diameters.Each sector contains a pawn. We are allowed to chose two pawnsandmove each of them to a sector bordering the one...
- Q Find the eigenfunctions for the following boundary valueproblem.x2y?? ? 15xy? + (64 +?)?y ?=?0,    y(e?1) ?=?0, ?y(1) ?=? 0.In the eigenfunction take the arbitrary constant (eitherc1 or c2) from the generalsolution...
- Q Historically speaking, several attempts have been made to create‘metric time’ using factors of 10, but our current system won out.If 1 day was 10 metric hours, 1 metric hour was...
- Q What is similarity and difference between first principleinduction and second principle induction ?When to use each principle? are there characteristics thatdistinguish the issue to be solved by the first or...
- Q Let A be an m x n matrix and b and x be vectors such thatAb=x.a) What vector space is x in?b) What vector space is b in?c) Show that...
- Q Customers arrive in a certain shop according to an approximatePoisson process on the average of two every 6 minutes.(a) Using the Poisson distribution calculate the probability oftwo or more customers...
- Q The deï¬nition of a (well-deï¬ned) function f : X → Y . Meaning ofdomain, range, and co-domain
- Q Prove that if G is a connected graph of order n is greater thanor equal to 3, then its square G^(2) is 2-connected
- Q 5. (a) Prove that the set of all real numbers R isuncountable.(b) What is the length of the Cantor set? Verify youranswer.
- Q 1.A solid in the first octant, bounded by the coordinateplanes, the plane (x= 40) and the curve (z=1-y² ) , Find the volumeof the solid by using : a- Double...
- Q 6.For this problem we will use the fact that:?????? = ??????? − ????? ? = ? ? − ?(?)A company produces and sells copies of an accounting program forhomecomputers. The...
- Q There was a maths tutoring organisation called Pony Lovers’Maths (PLM), which provides tuition for children in school-basedmathematics by using ponies as the basis for most of thecalculations. This business is...
- Q Question 2: AHPA tourism company want to evaluate four hotels and select the bestone using four criteria project's COST, CLEANNESS and DISTANCE andSIZE of the HOTEL. Assume that the company...
- Q Consider Sturm-Liouville problem−u`` + q(x)u = λu , x ∈ (a, b),u(a) = 0, u(b) = 0.please can you find the eigenvalues and eigenfunction?
- Q The graph of a functiony =g(x)on the domain−8 ≤ x ≤ 8consists of line segments and semicircles of radius 2 connectingthe points(−8, 0), (−4, 4), (0, 4), (4, 4), (8,...
- Q Analyticity of trigonometric functions (a) Directly from thedefinition, construct the Taylor Series centered at x = 0 for thefunction f(x) = cos(x). (b) Show that this series converges for allx...
- Q Find an optimal parenthesization of matrices whose sequence ofdimensions is: <5, 10, 12, 5, 50>. Please write out both them[·, ·] and s[·, ·] tables.
- Q 8) Solve x^2y’’ – 2y = ln(x)
- Q 2)  Solve the system of equations below         dx/dt – 3x –6y = t^2         dx/dt +dy/dt – 3y = e^t
- Q Q: Asking for assistance in understanding and solving thisexample on Modern Algebra II with the steps of the solution tobetter understand, thanks.**Please give the step by steps with details tocompletely...
- Q Solve for x,y,z using the inverse if possible.x+2y+5z=22x+3y+8z=3-x+y+2z=3
- Q Let f : Z × Z → Z be defined by f(n, m) = n − ma. Is this function one to one? Prove your result.b. Is this function onto...
- Q Please show picture over a rectangle.a) Let f(x,y) = 2sin(πx)−3cos(πy). Calculate Uf(P) and Lf(P)over the partition P = {1,1.5,2}×{2,2.5,3}.b) Explain what techniques would be necessary to calculate Uf(P)and Lf(P) for...
- Q Containers for liquids have interior volumes that are largerthan their rated capacity. This is necessary to allow for expansionof the liquid contents as the temperature changes. You have a fivegallon...
- Q solve y\" + 4y = 5 tan(2x)
- Q Define a function ?∶ â„→℠by?(?)={?+1,[?] ?? ??? ?−1,[?]?? ????where [x] is the integer part function. Is ? injective?(b) Verify if the following function isbijective. If it is bijective, determine...
- Q Solve the given Boundary Value Problem. Apply the methodundetermined coefficients when you solve for the particularsolution.y′′+2y′+y=(e^-x)(cosx−sinx)y(0)=0,y(π)=e^π
- Q Let q and p be natural numbers, and show that the metric onRq+p is equivalent to the metric it has if we identifyRq+p with Rq × Rp.
- Q Solve the following differential equation:y''+4y'+4y=u(t-1)-u(t-3), y(0)=0, y'(0)=0
- Q Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Ruleto approximate the given integral with the specified value of n.(Round your answers to six decimal places.) 2 0 e^x/ 1...
- Q Solve the wave equation∂2u/∂t2 = 4 ∂2u/∂x2 , 0 < x < 2, t > 0subject to the following boundary and initial conditions.u(0, t) = 0, u(2, t) = 0,u(x,...
- Q Define our “universe†S as the region in the xy-plane that isdescribed by S = {(x, y) : |x| + |y| ≤ 2 and y > −1} .(a) Mathematically and...
- Q Draw a quick but accurate sketch of f(x) = √x2−4 overthe interval [−4,0]. This covers the interval of integration.Partition the interval of integration into 10 intervals. Showthis on your graph...
- Q Suppose {a1,...,am} is a complete set of representatives forZ/mZ. Show:(i) If (b,m)=1, then{b*a1,...,b*am}is a complete set ofrepresentatives.(ii) If (b,m)> 1, then{b*a1,...,b*am}is not acomplete set of representatives.
- Q Let W be a subspace of Rn with an orthogonal basis {w1, w2,..., wp} and let {v1,v2,...,vq} be an orthogonal basis for W⊥.LetS = {w1, w2, ..., wp, v1, v2,...
- Q A plane delivers two types of cargo between two destinations.Each crate of cargo I is 5 cubic feet in volume and 145 pounds inweight, and earns $35 in revenue. Each...
- Q For this assignment, you will use the provided database in theUnit 5 script file. You will add statements to this file to querythe database tables. For your reference, below is...
- Q 2. (a) Prove that U45 is generated by the set {14,28}.(b) Prove that the additive group Z×Z is generated by the setS={(3,1),(−2,−1),(4,3)}.Please be thorough step by step with details, please.
- Q Widgets is considering a new investment that has a projected unitsales in year 1 of 1000 units. sales price per unit is $80,variable costs are 60% of sales, and fixed...
- Q Solve the initial value problem: 9y″+18y′+19y=0, y(π/2)=−2,y′(π/2)=−2. Give your answer as y=... . Use x as the independentvariable.
- Q Consider the given matrix.−1  2−5  1Find the eigenvalues. (Enter your answers as a comma-separatedlist.)λ = 3i,−3i(I got these right)Find the eigenvectors of the matrix. (Enter your answers in orderof the corresponding eigenvalues,...
- Q Students will be asked to formulate, define, and interpretmathematical modeling (particularly ordinary differential equation)which involves real engineering applications and related to theirmajoring (E.g. Newton’s law cooling/warming, mixture problem,radioactive decay, spring-mass...
- Q U(C1, C2, C3, C4, C5) = C1∙C2∙C3∙C4∙C5As a mathematical function, does U have a maximum or minimumvalue? What values of Ci correspond to the minimum value of U? Whatvalues of...
- Q Letf(x)∈F[x] be separable of degree n and let K be the splitting fieldof f(x). Show that the order of Gal(K/F) divides n!.
- Q Find the general solution of the given system.dxdt=6x + ydydt=−2x + 4y[x(t),y(t)]= _____________,_______________(6c1​+8c2​)10​sin(6t)+(6c2​+8c1​)10​cos(6t),c1​cos(6t)+c2​sin(6t)^above is the answer I got, which is incorrect. Â
- Q State the dual of the Theorem below.Let a non-degenerate plane conic touch the sides BC, CA, and ABof a triangle ABC in R2 at the points P, Q, and Rrespectively....
- Q 3-How can digital signal processing affect the quality ofsound?
- Q Finally, consider the following fixed point iteration xk+1 =g(xk) = arccos −1 1 + e 2x and show that finding a fixed point ofg(x) is equivalent to finding a root...
- Q True or False? Why?Σ n = 1, ∞ fn(x) converges uniformly on A <=> for all n inN (natural numbers), there exists Mn > 0 such that |fn(x)| <=Mn for...
- Q Using Runge-Kutta method of order 4 to approximate y(1) withstep size h = 0.1 and h = 0.2 respectively (keep 8 decimals):dy/dx = x + arctan y, y(0) = 0.Solutions:...
- Q Water is boiled in a cup and its placed in a room that is 25degrees Celsius. Assume that Newton's Law of Cooling is satisfied:the rate of change in water temperature...
- Q Let Kn denote the simple graph on n vertices.(a) Let v be some vertex of Kn and consider K n −v, the graph obtained by deletingv. Prove that K n...
- Q The town hall of a city wants to open some recreational centers.It has been analyzed 3 options. The opening cost and the capacityof each center are listed below.OptionCapacityCostA15015000B25050000C12036000The selected recreational...
- Q Solve using Laplace and Inverse Laplace Transforms.Y’’’-y’’-4y’+4y=0y(0)=1 y’(0)=9 y’’(0)=1
- Q thecost of common equity financing is more difficult to estimate thanthe costs of debt anf preferred equity. explain why? Also keyissues in calculation of cost of equity and cost of...
- Q Report on this topic DesignfilteringContent included...AbstractIntroductionPrinciplesCode designResult anddiscussionConclusionReference
- Q     Explain the importance of erroranalysis in numerical methods with suitable example.    Out of Bisection method and secantmethod which one is better and why? Solve one application basedproblem using that...
- Q 1).Differentiate d/dx ( |arccscx| )2. Differentiate d/dx ( arccsc|x|)2a). For arccsc|x|, proof that x=-1 is not differentiatableusing left,right hand derivative.(by first principal)
- Q 0~9is put in circle , proof that if we choose 3 number the total sumis bigger than 14use pigeonhole principleplease explain in detail thanksArrange 0-9 on the circular tableThere is...
- Q Which of the following statements is/are true?1) If a matrix has 0 as an eigenvalue, then it is notinvertible.2) A matrix with its entries as real numbers cannot have anon-real...
- Q A field is a commutative ring withunity in which every nonzero element is a unit.Question: Show that Z_5 underaddition and multiplication mod 5 is a field. (state theoperations, identities, inverses)
- Q T:R ->R3 T(x, y, z) = (2x + 5y − 3z, 4x + y − 5z, x − 2y − z)(a) Find the matrix representing this transformation with respectto the...
- Q 1. The equation of the line with an x-interceptof 33 and a y-intercept of 44 can be written in the form y=mx+bwherethe number m is:Â Â Â Â the number b is:Â Â Â Â Enter each answer...
- Q The displacement of an object in a spring-mass system in freedamped oscillation is:2y''+12y'+26y=0 and has solution: y1 =−5e^(−3t)*cos(2t−0.5π)if the motion is under-damped.If we apply an impulse of the form f(t)...
- Q In how many ways can you distribute 10different balls into 4 differentboxes, so there's no box with exactly 3 balls? Useinclusion-exclusion
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