Advance Math question and answers for July 29, 2023
- Q 100 kg of R-134a at 320 kPa are contained in a piston-cylinderdevice whose volume is 7.530 m3. The piston is now moveduntil the volume is one-half its original size. This...
- Q question 1:The total revenue received from thesale of x units of a product is given byTRx=-3x^5 + 3/2x^4+ x/4+12square x+ 6y Find theAverage revenue AR.Marginal revenue MR.MR at x = 4....
- Q Letf(x, y) = x2y(2 ? x + y2)5 ?4x2(1 + x + y)7 +x3y2(1 ? 3x ? y)8.Find the coefficient of x5y3 in theexpansion of f(x, y)
- Q Prove that rect(x)*rect(x) = tri(x)
- Q find all primes p such that 6 is a square mod p?please with clear hand writing
- Q 1.) Prove that Z+, the set of positive integers, can beexpressed as a countably infinite union of disjoint countablyinfinite sets.2.) Let A and B be two sets. Suppose that A...
- Q Develop a well-structured MATLAB function to compute theMaclaurin series expansionfor the cosine function and name the function cosMac. Thefunction should have the following features:Iterate until the relative error (variable name...
- Q What is the relation between “Green’s Theorem” and “Stokes’sTheorem”?Explain about the transformations defined in these theorems.What is the most important application and consequence of“Stokes’s Theorem”? Explain Independence of path?
- Q 1. Calculate the weighted averages for two additional used carsusing the weights given in the table below.New weightsCar 4 RatingsCar 5 RatingsReliability576Gas Mileage657Interior Features/Comfort1087Cargo Space468Make sure that you fill in...
- Q A number of guests gather around a round table for a dinner.Between every adjacent pair of guests, there is a plate for tips.When everyone has finished eating, each person places...
- Q Problem 8. A bipartite graphG = (V,E) is a graph whose vertices canbe partitioned into two (disjoint) sets V1 andV2, such that every edge joins a vertex inV1 with a...
- Q Problem 4: Consider the tabulated standard-formLP starting with X1 and X2 basic. Pleaseapply the revised simplex method and solve the LP.Note: in each iteration determine MatrixA, B, E, V, C,...
- Q Given following ODE's1) x' = x / 1+t, with x(0) = 1 find x(2)2) x' = t+x with x(0) = 1, find x(2)3) x' = t-x, with x(1) =2 find...
- Q A set X is said to be closed under multiplication if for everyx1,x2 ? X we have x1x2 ? X. Let A be the union of all boundedsubsets X ?...
- Q Using Google sheets: On a spreadsheet show how to use thebisection method to solve the equation cos?(x)=x numerically to atleast four decimal place accuracy
- Q 1. Suppose ?:? ? ? and {??}??? is an indexed collection ofsubsets of set ?. Prove ?(? ?? ??? ) ? ? ?(??) ??? with equality if? is one-to-one.2. Compute:a....
- Q Find the roots of the following equation in [??, ?] 2x 2 ? 4cos(5x) ? 4x sin x + 1 = 0 by using the Newton’s method withaccuracy 10^(?5) .how...
- Q 1. As dry air moves upward, it expands and, in so doing, coolsat a rate of about 1oC for each 100-meter rise, up to about 12 km.If the ground temperature...
- Q Show that every order topology is Hausdorff.
- Q Show that if Y is a subspace of X, and A is a subset of Y, thenthe subspace topology on A as a subspace of Y is the same as...
- Q The usual ? ? ? definition of limits, Definition. limx?a f(x) =L exactly when for every ? > 0 there is a ? > 0 such that forany x with...
- Q How do the three types of integer programming problemsdiffer? Which do you think is most common, and why? Bedetailed.
- Q Consider the system modeled by the differential equation dy/dt - y = t with initial condition y(0) = 1the exact solution is given by y(t) = 2et ? t ?...
- Q 3-24 Today’s Electronics specializes in manufacturing modernelectronic components. It also builds the equipment that producesthe components. Phyllis Weinberger, who is responsible for advisingthe president of Today’s Electronics on electronic manufacturingequipment,...
- Q Solve the differential equation y'' ? y' ? 2y = 9e^2t , withinitial conditions y(0) = 3, y' (0) = ?2, using two differentmethods. Indicate clearly which methods you are...
- Q By computing both sides, show that for an m × n matrix A,vectors u and v ? Rn , and a scalar s ? R, we have (a) A(sv) =s(Av);...
- Q y'' + 16y = (8)(cos(4t)) y0)= 0 y'(0)= 8Use Laplace Transforms to solve. Sketch the solution or usematlab to show the graph.
- 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 Solve the system using either Gaussian elimination withback-substitution or Gauss-Jordan elimination. (If there is nosolution, enter NO SOLUTION. If the system has an infinite numberof solutions, express x, y, z,...
- Q 1) a) From the set {-8, -2/3, 5i, ?(-9), ?2, 0, 3+3i,-2.35, 7}i) List the set of NaturalNumbersii) List the set of Integersiii) List of the set of RationalNumbersvi) List...
- Q Given the parametrized curve r(u) = a cos u(1 ? cos u)ˆi + a sinu(1 ? cos u)ˆj, u ? [0, 2? [ , (with a being a constant)i) Sketch...
- Q Suppose that Y is the Poisson distribution of the number ofstudents a school has. Find the mode by studying the monotonicityand explaining if the mean is a)5.3 and other case...
- Q The linear transformation is such that for any v inR2, T(v) = Av.a) Use this relation to find the image of the vectorsv1 = [-3,2]T and v2 =[2,3]T. For the...
- Q In a (2, 5) Shamir secret sharing scheme with modulus 19, two ofthe shares are (0,11) and (1,9). Another share is (3,k), but thevalue of k is unreadable. Find the...
- Q “A real number is rational if and only if it has a periodicdecimal expansion”Define the present usage of the word periodic and prove thestatement
- Q (Investment): An investor has $150,000 to invest in oil stock,steel stock, and government bonds. The bonds are guaranteed toyield 5%, but the yield for each stock can vary. To protect...
- Q Draw a circle and construct "a pie chart" that describes youridentity as you see it in terms of groups with which you areassociated and that you consider to be important....
- Q Customers arrive at a local grocery store at an average rate of2 per minute.(a) What is the chance that no customer will arrive at the storeduring a given two minute...
- Q Ti Fan and his wife have retired. They are touring the USA in a big recreational vehicle (RV). They are towing a Prius car, which they use for running errands...
- Q (2) Let ?n := e2?i/n for n = 2,3,....(a) Show that the n’th roots of unity (i.e. the solutions to zn= 1) are?nk fork=0,1,...,n?1.(b) Show that these sum to zero,...
- Q Determine whether the set with the definition of addition ofvectors and scalar multiplication is a vector space. If it is,demonstrate algebraically that it satisfies the 8 vector axioms. Ifit's not,...
- Q Determine whether the set with the definition of addition ofvectors and scalar multiplication is a vector space. If it is,demonstrate algebraically that it satisfies the 8 vector axioms. Ifit's not,...
- Q 3.2.1. Find the Fourier series of the following functions:(g) | sin x |(h) x cos x.
- Q Recall P2(t) is the set of polynomials of order less than orequal to 2. Consider the the set of vectors in P2(t).B={t^2,(t?1)^2,(t+1)^2}(a) Show B is a basis for P2(t).(b) If...
- Q 3. The California Emmisons cap was set at 322 millon metric tonsof carbon dioxide equivilent in 2016 and was expected to drop to303 million metric tons of arbon dioxide equivilent...
- Q The given table shows the preference schedule for an electionwith 5 candidates. Find the complete ranking using the method ofpairwise comparisons.? (Assuming that ties are broken using theresults of the...
- Q 4) Write a brief reflection of Task 2 and 3 which mayinclude description on data type used to solve the given task,variable used, and objects created. Reflection should also includejustification...
- Q a. Seek power series solutions of the given differentialequation about the given point x0; find the recurrence relationthat the coefficients must satisfy.b. Find the first four nonzero terms in each...
- Q y'+xy=x3+y2 Solvethe differential equation.
- Q QUESTION ONE1.1 Use any appropriate method to integrate?2x^4(x^2-5)^50 dx [8]1.2. Differentiate f(x) = loga x from the first principle.[9]1.3 Find the binomial expansion for sqrt(x^2 - 2x) up to 3 termsfor...
- Q The following observations were obtained when conducting atwo-way ANOVA experiment with no interaction.Factor AFactor B1234 X¯¯¯jX¯j for FactorB114111.7502991078.75031311121412.500X?iX?i for Factor A7.6678.0007.6677.333X¯¯¯¯¯¯¯?=?7.6667X¯¯??=?7.6667a. Calculate SST, SSA, SSB, andSSE. (Round intermediate calculations to at...
- Q Prove the following by induction: 2 + 4 + 6 + …+ 2n = n(n+1) forall integers nShow all work
- Q Find to 4 decimal places the following binomial probabilitiesusing the normal approximation.a. n = 140, p = 0.42, P(x = 64)P(x = 64) =b. n = 100, p = 0.58,...
- Q 1)What is the advantage of solving differential equations usingLaplace Transforms over prior time-domain techniques cover thus farthis semester (Chps 1-5)?2) When using Laplace Transforms, what is the difference in thenotation...
- Q Sketch a graph of the polar equation and find the length and area of the curve in one loop.
- Q Case 19-7Accounting for Contingent Payments to Employees or SellingShareholders in a Business CombinationCompany G (G), an SEC registrant, is a global financial advisoryand asset management firm. Company P (P), a...
- Q A company produces wooden chairs and tables. Each chair uses 10lbs. of wood and takes 10 hours to construct. Each table uses 15lbs. of wood and takes 5 hours to...
- Q Use the simplex method to determine whether the following LOP isoptimal, unbounded, or infeasible.Maximize z = x1 ? x2Subject to 2x1 ? x2 = ?5x1 ? 2x2 ? 3?x1 +...
- Q Given the sub-ring A = Z × Z ? R 2 ,Where, in R2 we have the sum operation and the complex product.a) Prove that indeed A it is a...
- Q Let C be the closed path that travels from (0, 0) to (1, 1)along y = x^2 , then from (1, 1) to (0, 2) along y = 2 ?...
- Q Question 4:Oranges are grown, picked, and then processed and packaged atproduction centers in Sargodha,Risalpur, and Sahiwal. These centers supply oranges to thecompany’s distributors each month inPeshawar, Lahore, Multan, Faisalabbad, Karachi...
- Q What are some valuable life skills that learning math sharpens or improves?
- Q For example, a definite integral of a velocity function givesthe accumulated distance over the period. You should also begrowing more comfortable with how the units work – for example,integrating meters...
- Q What are neural networks, what is their purpose, and whatpractical applications for these networks in medicine can you thinkof? Be brief in terms of the applications and examples, but youmust...
- Q please Explain how an interaction model automates estimation of aD-in-D estimate.
- Q Let p be an element in N, and define d _p to be the set of allpairs (l,m) in N×N such that p divides m?l. Show that d_p is anequivalence...
- Q 4.Maximize: Z = 2X1+ X2-3X3Subject to: 2X1+ X2= 14X1+ X2+ X3?6X1, X2, X3?0Solve the problem by using the M-technique.
- Q a) Define which differential equations are called linear and which are called nonlinear? [10 marks]b) Define which systems of differential equations are called homogeneous and which are called non-homogeneous? [10...
- Q QUESTION 1: Solve the linear programming model given below usingthe simplex method. Write the primal and dual results from theoptimal table you obtained.MAX Z = 10?1 + 20?2 + 5?36?1...
- Q We define the Liouville function ?(n) by setting ?(1)=1. Ifn>1, we consider the prime power factorization n=p_1^(a_1 )p_2^(a_2 )…p_m^(a_m ) and define ?(n)=(-1)^(a_1+a_2+?+a_m ) Provethat the summatory function of ?,?(n)=?_d|n????(d)?...
- Q Use the graph of the given function f to determine thelimit at the indicated value of a, if it exists. (If ananswer does not exist, enter DNE.)The x y-coordinate plane...
- Q 4 a) Find the Fourier Integral representation of ?(?) = 1 ?? |?|< 10 ?? |?| > 1b) Find the Fourier Sine Transform of ?(?) = ? ?|?| . Henceevaluate...
- Q Read Proposition 1.23, the paragraph between the proposition andits proof, and the proof.a. In your own words, explain the meaning of the two differentmathematical ideas of "existence" and "uniqueness".b. How...
- Q An individual retirement account, or IRA, earns tax-deferredinterest and allows the owner to invest up to $5000 each year. Joeand Jill both will make IRA deposits for 30 years (from...
- Q The phone company calculates a customer’s monthly cell phonebill as follows: monthly service charge: $35 voice charges:First 100 minutes: $0.018 per minuteSecond 100 minutes: $0.034 per minuteAdditional minutes: $0.055 per...
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