Advance Math question and answers for July 26, 2023
- Q Molson currently sells 41 different brands of beer in Canada.Labatt currently sells 17 different brands. The manager at Mike'sPlace needs to choose 5 Molson brands and 5 Labatt brands to...
- Q Obi-wanandAnakinarechasingZamWessel.Obi-wanandAnakinareatthepoint(325,675,561)while Zam is at the point (765, 675, 599).(a) Find parametric equations for the line of sight between theJedi and the bounty hunter.(b) If we divide the line of sight...
- Q whydo we use complete induction and why do we use structual induction?When should we use complete or structual?
- Q 3) Solve the initial value problemsc) R? + (R/t) = (2/(1+t2 )) , R(1) = ln 8.e) ) cos ?v? + v = 3 , v(?/2) = 1.5) Express the...
- Q You owe $1500 on a credit card that charges 2% interesteach month. You can pay $50 each month with no new charges. What isthe equilibrium value? When will the account...
- Q Show that the set of all real numbers of the form a+b sqrt(2)+csqrt(3)+d sqrt(6),where a,b,c,d ?Q, forms a subfield of R
- Q For the following functions f and g: f(x, y) = e ax ? (1 ? a)lny a > 0 g(x, y, z) = ?3x 2 ? 3y 2? 3z 2...
- Q Acup of boiling water is placed outside at 1:00pm. One minute laterthe temperature of the water is 152 F. After another minute itstemperature is 112 F. What is the outside...
- Q Let f1 = 1 and f2=1 and for all n>2 Letfn = fn-1+fn-2. Prove that for alln, there is no prime p that divides noth fn andfn+1
- Q 1. 110 ice creams of different flavors are purchased weekly in astudent residence: vanilla, passion fruit, and coconut. The budgetfor this purchase is 540 euros and the price of each...
- Q A tree is a circuit-free connected graph. A leaf is a vertex ofdegree 1 in a tree. Show that every tree T = (V, E) has thefollowing properties: (a) There...
- Q Please find the question at the following link:bit.ly/2s4jgE5Thanks.
- Q 2. In each of the following problem sketch the graph of f(y)versus y, determine the equilibrium solutions, and classify eachone as asymptotically stable, asymptotically unstable, orsemi-stable. Draw the phase line,...
- Q Let G be a connected graph which contains two spanning trees T1and T2 that do not share any edges (note that G may contain edgesthat are in neither trees). Prove...
- Q I live in Rapid City and commute to Spearfish. I leave RapidCity by 6 minutes after 8 and get onto I-90 at Exit 52. I must exitI-90 at Exit 12...
- Q The figure shows a circuit containing an electromotive force, acapacitor with a capacitance of C farads (F), and aresistor with a resistance of R ohms (?). The voltage dropacross the...
- Q if {v1,v2,v3} is a linearly independent set of vectors, then{v1,v2,v3,v4} is too.
- Q Let S: R2---> R2 be a reflection in theline x2= Ax1. Find the standard matrix for Sin terms of A.
- Q A researcher wishes to examine the relationship between wageearned and educational level of workers. For a sample of 4000workers she has data on hourly earnings (measured in Dollar), ageof the...
- Q find a power series solution(x-1)y''+y'=0
- Q 1. Find the Legendre polynomial PL(x) for L = 3,4,5,6where the polynomian is the series solution for Legendreequation2. Find the other solution QL(x) for the Legendreequation for L = 0,1,2Please...
- Q Suppose you have a set of real-valued waveforms{s1(t), s2(t),..., sN(t)}, and youwant to find a basis for the span of their complex envelopes. Theobvious approach would be to first downconvert...
- Q A mass of 50 g stretches a spring 3.828125 cm. If the mass isset in motion from its equilibrium position with a downwardvelocity of 50 cms, and if there is...
- Q Where y=y(x) solves...(5.9y-(23.6)x)dx+(5.9x-1)dy=0 y(0.27)=2.15(5xy-(-1.1)ye^x-1)dx+(2.5x^2-(-1.1)e^x)dy=0 y(1.2)=2.3
- Q Find the inverse Laplace transform for1 / ((s^2+1)(s+1))
- Q 4. The check digit for ISBNs is one of the numbers 0, 1, 2, . .. , 9, or the letter X. One of the your fellow students comments”Gee, it...
- Q Consider the following relationAIRLINE TABLEFlightDateFlightIDOriginDestinationCaptainIDCaptainNameNumber of Passengers on the FlightApril 10111ChicagoL.A.111Tracy110April 10222L.A.Phoenix222Matt105April 12111ChicagoL.A.444Tim98April 12333L.A.N.Y.111Tracy75April 12444L.A.N.Y.333Pat110April 12555L.A.Dallas444Tim111April 12222L.A.Phoenix555Pat107Some of the requirements that this table is based on are asfollows:The AIRLINE is...
- Q Let L be the line parametrically by~r(t) = [1 + 2t,4 +t,2 + 3t]and M be the line through the points P= (?5,2,?3) andQ=(1,2,?6).a) The lines L and M intersect;...
- Q Consider the solution of the differential equation y?=?3yy?=?3y passing through y(0)=0.5y(0)=0.5.A. Sketch the slope field for this differential equation, and sketch the solution passing through the point (0,0.5).B. Use Euler's...
- Q Prove Mn(reals) is a group under matrix addition. Note,Mn(reals={A|A is a real nxn matrix}) Please show all steps and donot write in script!
- Q In the proof of Theorem 4.7 (Euclid’s proof that there areinfinitely many primes), the argument uses calculation of a numberN. In each case below, suppose for the sake of demonstrating...
- Q Alaboratory technician in a medical research center is asked toformulate a diet from two commercially packaged foods, food A andfood B, for a group of animals. Each ounce of food...
- Q Prove or disprove each of thefollowings.If f(n) = ?(g(n)), thenlog2(f(n)) =?(log2g(n)), wheref(n) and g(n) are positivefunctions.?(n) + ?(n2) =theta(n).f(n)g(n) =?(f(n)), where f(n) andg(n) are positive functions.If f(n) = theta(g(n)), thenf(n)...
- Q Calculate the first three terms in the power series solutions ofthe following differential equations taken about x=0.x^2y''+xy'+(x^2-1/9)y=0
- Q 1. Show that if ?1 and ?2 are different eigenvalues of A and u1and u2 are associated eigenvectors, then u1 and u2 are independent.More generally, show that if ?1, ...,...
- Q A.The surfaces intersect in a space curve C. Determinethe projection of C onto the xy-plane.x+4y+5z=5x+y?4z=5B.The surfaces intersect in a space curve C. Determinethe projection of C onto the xy-plane.2x^2+6y^2+(z?2)^2=22x^2+6y^2=z^2C.The surfaces...
- Q LetA = ?*, and let R be the relation "shorter than." Determine whetheror not the given relation R, on the set A, is reflexive, symmetric,antisymmetric, or transitive.
- Q Part A. If a function f has a derivative at x not. then f iscontinuous at x not. (How do you get the converse?)Part B. 1) There exist an arbitrary...
- Q Let W be a subspace of R^n, and P the orthogonal projection ontoW. Then Ker P is W^perp.
- Q Let G be a group,a;b are elements of G and m;n are elements ofZ. Prove(a). (a^m)(a^n)=a^(m+n)(b). (a^m)^n=a^(mn)
- Q y"-3y'+2y=4t-8 , y(0)=2 , y'(0)=7y(t)=?
- Q 5. Determine if the following sets along with the givenoperations form groups. If so, determine the identity element andwhether or not they are Abelian. If not, explain why.(a) GL(n, Z)...
- Q "Find the retail cost of gasoline (per unit volume) in your areaand find the cost of electricity for residential users in yourarea. (a) Compare the cost of energy (per MJ)...
- Q outline the key financial statistics for the company ‘PitneyBowes’. include data such as market capitalization, net sales, netincome, debt ratios along with number of employees and thecompany’s geographical footprint. Give...
- Q 1(a) If ut ? kuxx = f, vt ? kvxx = g, f ? g, and u ? v at x = 0,x = l and t = 0, prove...
- Q Consider an algebra where the vector space is ?3 andthe multiplication of vectors is the conventional cross product youlearned as a beginning physics student. Find the structureconstants of this algebra.
- Q Want a SEIRS model with stochastic transmissionproject proposal under the following headings for a MSc student inApplied Mathematical Modelling :1)Topic2) introduction3) Background to the study4)problem statement5)aims6)objectives7)methodology
- Q a. Give an example of a finitely generated module overan integral domain which is not isomorphic to a direct sum ofcyclic modules.b. Let R be an integral domain and letM=<m_1,...,m_r>...
- Q How can you determine the standard matrix of a lineartransformation?What is the differencebetween a one-to-one linear transformation and an onto lineartransformation?
- Q Develop a three-period moving average forecast for April 2019through January 2020. Calculate the MFE, MAD, and MAPE values forApril through December 2019. LOADING... Click the icon to view thetime series...
- Q Confidence Interval Worksheet with Sample Data MTH 160:StatisticsRead the following scenario and complete each of the problemsbelow:A flashlight company claims that the new bulb in its heavy-dutyflashlight will average 246...
- Q Prove that if {xn} converges to x does not equal to 0 and xnis non-zero for all n, then there exists m > 0 so that |xn| ? mfor all...
- Q Using a system of equations, prove that a 2x2 matrix A has aright inverse if and only if it has a left inverse.
- Q find the general solution ofy'''-4y''+5y'=e^x
- Q Use R to solve:Find the approximate solution x' to :0.89x1 + 0.53x2 = 0.360.47x1 + 0.28x2 = 0.19Find the error x'-x* between the computed solution and the truesolution.Compare the size...
- Q How would you do the work to find which PDEs below can beseparated into ODEs by assuming a product of unknown functions x,yand z?1) Uxx+Uyy+Uzz=02) Uxx+Uyy+Ux+Uy=03) Uxx+3Uxy+Uyy=04) Uxx+3Uxy+7Uy=05) x^2Uxx+yUyy=06) aUxy+bu=0
- Q Let a and b be integers. Recall that a pair of Bezoutcoefficients for a and b is a pair of integers m, n ? Z such thatma + nb =...
- Q 1.) Use the product rule to find the derivativeof(?10x6?7x9)(3ex+3)2.) Iff(t)=(t2+5t+8)(3t2+2) find f'(t) Find f'(4)3.) Find the derivative of the functiong(x)=(4x2+x?5)exg'(x)=4.) If f(x)=(5?x2) /(8+x2) find:f'(x)=5.) If f(x)=(6x2+3x+4) / (?x) ,. then:f'(x) = f'(1) =6.)...
- Q Let G, H, K be groups. Prove that if G ? H and H ? K then G ?K.
- Q Part a (worth 60 pts): Formulate a linear programming model(identify and define decision variables, objective function andconstraints) that can be used to determine the amount (in pounds)of Brazilian Natural and...
- Q Find the series solution to the differential equation: y'-xy=x^2.List the first 5 termsRHSshould be -x^2
- Q Prove by contraposition and again by contradiction:For all integers a,b, and c, if a divides b and a does notdivide c then a does not divide b + cElaboration with...
- Q (i) Find the rate of change of the function f(x) = (x + 2)/( 1 ?8x) with respect to x when x = 1. (ii) The number of units Q...
- Q The number of commercial airline boardings on domestic flightsincreased steadily during the 1990s as shown in the table below.Let? f(t) be the number of commercial airline boardings on domesticflights? (in...
- Q Now assume that the harvesting is not done at a constant rate,but rather at rates that vary at different times of the year. Thiscan be modeled by ??/?? = .25?...
- Q Let (X,d) be the Cartesian product of the two metric spaces(X1,d1) and(X2,d2).a) show that a sequence{(xn1,xn2)} in X isCauchy sequence in X if and only if {xn1} isa Cauchy sequence...
- Q Abstract AlgebraLet G be a group of order 351. Prove that G is notsimple.
- Q 1. (a) Let p be a prime. Prove that in (Z/pZ)[x],xp?x= x(x?1)(x?2)···(x?(p?1)).(b) Use your answer to part (a) to prove that for any prime p,(p?1)!??1 (modp).
- Q 2. Recall that the set Q of rational numbers consists ofequivalence classes of elements of Z × Z{0} under the equivalencerelation R defined by: (a, b)R(c, d) ?? ad =...
- Q 6) a) Find the general solution to the 2nd orderdifferential equationy''+6y'+8y=0 [8 pts]b) Find the general solution toy''+6y'+8y=2e-x.Use the method of undetermined coefficients. [8pts]c) Solve the IVPy''+6y'+8y=2e-x,y0=0,y'0=0 [5 pts]
- Q consider the vectors:v1=(1,1,1)v2=(2,-1,1)v3=(3,0,2)v4=(6,0,4)a)find the dimension and a basisW=Span(v1,v2,v3,v4)b) Does the vector v=(3,3,1) belong to W. Justify your answerc) Is it true that W=Span(v3,v4)? Justify your answer
- Q This is a combinatorics problemSuppose we wish to find the number of integer solutions to theequation below, where 3 ? x1 ? 9, 0 ? x2 ? 8, and7 ?...
- Q Provide two (2) examples of problems where the outputresponse(s) is in the form of a vector as opposed to a scalar.Describe each one briefly.
- Q Define ?? [?] = {?(?) ? ?[?]|deg ?(?) ? ?}. One can show ?? [?]is a vector space. Let ? = {?(?) ? ?4 [?]|?(6) = 0}.a) Find a basis...
- Q 1. Consider the implication: If it is snowing, then I will gocross country skiing. (a) Write the converse of the implication.(b) Write the contrapositive of the implication. (c) Write theinverse...
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