Advance Math question and answers for July 28, 2023
- Q Assume B is a Boolean Algebra. Prove the following statementusing only the axioms for a Boolean Algebra properties of a BooleanAlgebra.Uniqueness of 0: There is only one element of B...
- Q 3. A 6 inch personal pizza has 610 calories, with 240 of thosefrom fat. A 16 inch pizza is cut into 8 slices. Estimate the numberof calories in one slice...
- Q Below given is the linear programming model at a manufacturingfirm which produces and sellsfor different bags: small bags, medium bags, standard bags,and deluxe bags.DECISION VARIABLES:xi- Number of bags for group...
- Q One of the statements below is true, and the other is false.Identify which is which, give a direct proof of the true one, andgive a counterexample to the false one.(a)...
- Q Problem 4. Consider ? : (Z100, +100) ? (Z100, +100) defined by?([x]100) = [41x + 19]100. a.) Show that ? is well-defined. b.) Usethe fact that 61 · 41 =...
- Q A firefighter for the National Park Service has a 5-year carloan for which the monthly payment is $610.46 with an annualinterest rate of 4.75% compounded monthly. After making 36payments, the...
- Q Assume you have a balance of ?$1400 on a credit card with an APRof 18?%, or 1.5?% per month. You start making monthly payments of?$200, but at the same time...
- Q Let X = ( X1, X2, X3, ,,,, Xn ) is iid,f(x, a, b) = 1/ab * (x/a)^{(1-b)/b} 0 <= x <= a ,,,,, b< 1then, find a two dimensional...
- Q Problem 3Consider the following definitions for sets ofcharacters:•Digits ={0,1,2,3,4,5,6,7,8,9}•Letters ={a, b, c, d, e,f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v,...
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q Find the general solution of the differential equation (x + 2y)(dx-dy) = dx + dy.
- Q Determine whether the following two planes x + 4y ? z = 7 and 5x? 3y ?7z = 11 are parallel, orthogonal, coincident (that is, thesame) or none of these.please...
- Q Use the technique developed in this section to solve theminimization problem.Minimize C = ?3x ? 2y ? zsubject to ?x+2y?z?12x?2y+2z?152x+4y?3z?18x ? 0, y ? 0, z ? 0 ?The minimum is C...
- Q ?nd the general solution of the given differential equation1. 2y''+3y'+y=t^2 +3sint?nd the solution of the given initial value problem1. y''?2y'?3y=3te^2t, y(0) =1, y'(0) =02. y''?2y'+y=te^t +4, y(0) =1, y'(0) =1
- Q Let S1 be the level surface given by the equation f(x,y,z)=k1and letS2be the level surface given by the equation g(x,y,z)=k2. Suppose that C is the curve of intersection of thesurfacesS1andS2andassume...
- Q Solve each of the following linear systems by the method of theexample on page 283.(a) 3x ? y = 4 x + 5y= 9(b) x ? 2y + z =...
- Q A) Use Jacobi or Gauss-Seidel iteration and perform threeiterations by hand.B) Use Jacobi or Gauss-Siedel iteration for ten iterations witha MAT-LAB function.* A= [5, -1,0;-1,5,-1;0,-1,5] , B=[9;4;-6]
- Q Use ten iterations of the appropriate MATLAB function, withx^(0)=[0,...,0]', to solve Ax=b (approximately).B) use Gauss-siedel iteration.C)use SOR with w=1.25, w=1.5, w=1.75,w=1.9, and optimal value ifgiven.* A=[4,8,0,0;8,18,2,0;0,2,5,1.5;0,0,1.5,1.75] ,B=[8;18;0.5;-1.75]. , (optimal w...
- Q You need a loan of $160,000 to buy a home. Calculate yourmonthly payments and total closing costs for each choice below.Choice 1: 30 year fixed rate at 5% with closing...
- Q In a simple undirected graph H the sum of vertex degrees is 60.What is the smallest possible number of vertices in this graph?What is the largest possible number of vertices...
- Q Use the classification of groups with six elements to show thatA(4) has no subgroup with 6 elements. [ Hint: check that theproduct of any two elements of A(4) of order...
- Q Explain Egyptian arithmetic.
- Q Please help me to conceive and designing an engineering mathmaticalwhich can use laplace transform, the problem closed to our dailylive is best.
- Q Let A?Rn× n be a non-symmetric matrix.Prove that |?1| is real, provided that|?1|>|?2|?|?3|?...?|?n|where ?i , i= 1,...,n are the eigenvalues of A, whileothers can be real or not real.
- Q 6.A 600-MW steam power plant, which is cooled by a nearby river, hasa thermal efficiency of 35 percent. Determine the rate of heattransfer to the river water.
- Q MATLAB question!4. (a) Modify the code, to compute and plot the quantity E =1/2mv^2 + 1/2ky^2 as a function of time. What do you observe? Isthe energy conserved in this...
- Q lambda calculus: what does the following expression evaluateto?fst (snd (fst (pair (pair (pair 2 3) (pair 4 5)) (pair (pair 67) (pair 8 9))) ))
- Q Differential EquationsUse a series solution to solve the IVP .y???4y= 0y(0) = 3y?(0) = 5.(Your answer will use one or more series.)
- Q Solve the following differential equations.i) y'''-6y''+10y'=0ii) dy/dx= x2/(1+y2) with y(1)=3iii) (x2-2y)y'+2x+2xy=0iv) Use substitution to solve t2y'+2ty=y5for t>0
- Q Consider the following linear programming problemMaximize$1 X1 + $2 X2Subject To2 X1 + X2 ? 8Constraint AX1 + X2 ? 5Constraint BX1, X2 ? 0Constraint CNote: Report two digits after...
- Q An undamped spring - mass system with mass m = 2 and a spring constant k = 8 is suddenly set in motion at time t = 0 by an...
- Q As a student of corporate governance what does it mean when wesay that corporate governance is about ‘Individuals, companies,society, governments, controls, investments, efficiency andtransparency?
- Q A bond will pay a coupon of $100 at the end of each of the next3 years and will pay the $1,000 face value at the end of the 3-yearperiod.What...
- Q A product with an annual demand of 900 units has Co = $18.50 andCh = $7. The demand exhibits some variability such that thelead-time demand follows a normal probability distribution...
- Q It is standard in some programming languages for the number zeroto represent one of the truth values (either true or false) and forpositive numbers to represent the other truth value....
- Q Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.y''+2y'+y=2e^t
- Q A random number generator produces a sequence of 18 digits (0,1, ..., 9). What is the probability that the sequence contains atleast one 3? (Hint: Consider the probability that it...
- Q With a certain medical insurance? policy, the customer mustfirst pay an annual ?$100 ?deductible, and then the policy covers80?% of the cost of? x-rays. The first insurance claims for aspecific...
- Q A man who weighs 80kg is to receive an infusion of drug Y at arate of 2.4 micrograms/kg/minute. If one 20ml vial of drug Y, whichcontains 10mg/mL, is diluted to...
- Q What time of hypothesis testing can you do for this researchquestion?The main question is: What is the relationship between "USpolitics influence” and the “use of health care”?Which variables can you...
- Q Discuss how the affordable care Art, individual sharedresponsibility and form 8965 as they apply to the tax return. Doyou agree that there should be a penalty tax for those who...
- Q 1. A large insurance company wants to determine whether theproportion of male policyholders who would not submit autoinsurance claims of under $500 is the same as the proportion offemale policyholders...
- Q Assume the a star orbits the center of the Galaxy in 340 millionyears at a distance of 40,000 light-years. Given thatD3=(M1+M2)×P2D3=(M1+M2)×P2, where DD is the orbital distance (inAUs) and PP...
- Q Suppose you obtain a 20-year mortgage loan of $197,000 at anannual interest rate of 8.2%. The annual property tax bill is $978and the annual fire insurance premium is $491. Find...
- Q The Blue Sky Flight Insurance Company insures passengers againstair disasters, charging a prospective passenger $20 for coverage ona single plane ride. In the event of a fatal air disaster, it...
- Q A 55-year old buys a continuous increasing whole life insurance.The benefit payable at the moment of death (time t) is equal tobt=1000t.Mortality is DeMoivre, with ?=100;?=0.06Find the Net Single Premium...
- Q The Clyde Tunnel, which passes beneath the River Clyde inGlasgow, is 762 m long. 93 fire engines can fit end to end alongits length.Q. Find the length of one fire...
- Q An aircraft factory manufactures airplane engines. The unit costC (the cost in dollars to make each airplane engine) depends on thenumber of engines made. If x engines are made, then...
- Q On September 1, 2019, Jay Walker Company purchased a one-yearinsurance policy for $420. The correct adjusting entry on December31, 2019, is:Multiple Choicedebit Insurance Expense $140; credit Prepaid Insurance $140debit Insurance...
- Q People think that insurance premiums are often too high and notworth the money, however, when an accident occurs, even somethingas serious as death, a car accident, a house fire, etc....
- Q Consider the following differential equation to be solved by themethod of undetermined coefficients.y'' + 6y =?294x2e6xFind the complementary function for the differentialequation.yc(x)=Find the particular solution for the differential equation.yp(x)=Find the...
- Q A mass weighing 8 pounds stretches a spring 1 foot. The mass isinitially released from rest from a point 2 feet below theequilibrium position, and the subsequent motion takes place...
- Q Show that the relation 'a R b if and only if a?b is an even integer defined on the Z of integers is an equivalence relation.
- Q Find all eigenvalues and their corresponding eigenspaces of the following matrix. A.( egin{pmatrix}3&0\ 1&2end{pmatrix} )
- Q The following are the Jordan Canonical Form of linear transformations. Find the characteristic polynomial, minimal polynomials, the algebraic multiplicity, geometric multiplicity and the index of each of the eigenvalues of...
- Q Determine all possible Jordan canonical forms for a linear operator L whose characteristic polynomial is ( P(lambda)=igg(lambda-3igg)^3igg(lambda-4igg)^2 )
- Q Let ( Ain M_n(mathbb{R})hspace{2mm} ) and ( hspace{2mm}lambda_1, lambda_2,...,lambda_n hspace{2mm} )(no need distinct) be eigenvalues of A. Show that a). ( sum _{i=1}^nlambda _i=trleft(Aight) ) b). ( :prod _{i=1}^nlambda _i=left|Aight|: )
- Q Let A be a square matrix defined by ( A=egin{pmatrix}4&-2&1\ 2&0&1\ 2&-2&3end{pmatrix}hspace{2mm} )Find the minimal polynomial of A. Then express ( A^4 ) and ( A^{-1} ) in terms of...
- Q Determine the value of a so that ( lambda = 2 ) is an eigenvalue of ( A=egin{pmatrix}1&-1&0\ a&1&1\ 0&1+a&3end{pmatrix} )Then show that A is diagonallizable and diagonalize it.
- Q Let A be a square matrix defined by ( A = egin{pmatrix}3&2\ 3&-2end{pmatrix} )(a) Find the characteristic polynomial of A.(b) Show that A is diagonalizable then diagonalize it.(c) Write (...
- Q Let A be a square matrix defined by ( A =egin{pmatrix}-1&3&-1\ -3&5&-1\ -3&3&1end{pmatrix} )(a) Find the characteristic polynomial of A.(b) Show that A is diagonalizable then diagonalize it.(c) Write (...
- Q Let A be a square matrix defined by ( A = egin{pmatrix}-2&-1&-5\ 2&2&3\ 4&2&2end{pmatrix} )(a) Find the characteristic polynomial of A.(b) Find the eigenvalues and eigenspaces of A.(c) Show that...
- Q Let ( B_1 = left{(2,1,1,1),(1,1,1,1),(1,1,2,1)ight} hspace{2mm} )and ( hspace{2mm}B_2 =left{(2,1,2,2)ight}hspace{2mm} )be two subsets of( hspace{2mm} mathbb{R}^4, E_1 ) be a subspace spanned by( B_1, E_2 )be a subspace spanned by...
- Q Poducts z1 and z2 as a z1=5+3i and z2=4-2i, write the following in the form a+bi
- Q Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, determine the sides of the two squares.
- Q solev tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pi
- Q The big jar of nickels and dimes contained $45. If 700 coins were in the jar, how many of each kind were there?
- Q Identify the average rate of change over the interval [-2,-1]
- Q what are methods used to measure ingredients and their units of measure?
- Q What are the coordinates of the image of the point (–3,6) after a dilation with a center of (0,0) and scale factor of 1/3 ?
- Q What is the integral e^z/Z-1 dz where C is the circle|z| = 2?
- Q A complex valued function f(z) =z3?1?I, what is the solution of f (z) =0? Note: exp(z) = e^z
- Q Where is the function f(z) =|z|^2+I (x-iy) +1 differentiable at?
- Q How do you show that the function "f(x) = {[x-1;x<2], [2x-3;x>=2]}" is not differentiable at "x=2”?
- Q Prove that ? : Z ? Z ? Z by ?(a, b) = a ? b is a homomorphism. Determine the kernel.
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