Advance Math question and answers for July 19, 2023
- Q Using the formulas for geometric progression to provethe formulas of growing annuity and growing perpetuity
- Q Determine a lower bound for the radius of convergence of seriessolutions about each given point x0 for the given differentialequation.(1 + x^3)y'' + 4xy' + 6xy = 0 Â Â x0 =...
- Q Prove that if the primal minimisation problem is unbounded thenthe dual maximisationproblem is infeasible.
- Q Find a particular solution for?^2?′′ + ??′ − 4? = ?^3Given the fact that the general homogeneous solution is ??(?) =?1(?^2) + ?2t(?^−2)
- Q Study the roots of the nonlinear equation f(x) = cos(x) + (1 /(1+ e^2x)) both theoretically and numerically. (a) Plot f(x) on theinterval x ∈ [−15, 15] and describe the...
- Q 6. Passwords are composed from lower- and uppercase letters ofthe English alphabet,digits and 34 special characters. What is theexponential generating function of the sequence an=number ofpasswords with at least one...
- Q Use the Table button in the Rich-Text Editor to provide anadjacency matrix for a simple graph that meets the followingrequirements:1) has 5 vertices2) is maximal planar
- Q The price of a European call that expires in six monthsand has a strike price of $30 is $2. The underlying stock price is$29, and a dividend of $0.50 is...
- Q Suppose we modified the Pollard rho method, so the iterationwould be f(x) = x^2 mod n instead of f(x) = x^2 + 2 mod n. How wellwould it perform, and...
- Q 1. Let G be the symmetry group of a square and let H be thesubgroup generated by a rotation by 180 degrees. Find all leftH-cosets.
- Q Let D be a division ring, and let M be a right D-module. Recallthat a subset S ⊂ M is linearly independent (with respect to D) iffor any finite subset...
- Q Q.1 Marks 2 (CLO 3)From the following data, you are required to: -(a) Fit the regression line Y on X and predict Y if x = 20(b) Fit the regression...
- Q A detailed answer will be appreciate.6. To prove that for all x1, x2, ..., x9 ∈ {0, 1, 2, 3, 4, 5, 6,7, 8, 9, 10}, there exists avalue of...
- Q Prove the Weierstrass M-test for uniform convergence of Seriesof Functions.
- Q Write the following regarding solutions of a system→ x′= A → x: 1. The deï¬nition of a Fundamental Matrix Φ(t), andapply it in one example of your choosing (for a...
- Q Consider the cities B,C,D,E,F,GThe costs of the possible roads between cities are given below:c(B,F) = 11c(B,G) = 10c(C,G) = 8c(D,E) = 12c(D,F) = 13c(E,F) = 9c(E,G ) = 7What is...
- Q prove 2 is a factor of (n+1)(n+2) for all positive integers
- Q Please formulate and solve each of the followingproblems. For each problem, you should include the finalSOLVER printout (either your final spreadsheet oran answer report), as well as (1) clear and...
- Q Consider a formula of propositional logic consisting of aconjunction of clauses of the form (±p⊕±q), where p and q arepropositional variables (not necessarily distinct) and ±p standsfor either p or...
- Q What is the probability getting a license plate that has a repeatedletter or digit if you live in a state in which license plate havetwo letters followed by four numerals?...
- Q (a). Prove the law of quadratic reciprocity for odd primes.Include all definitions and results used throughout the proof.(b). Explain why it is enough to prove the reciprocity law for 2and...
- Q let p = 1031, Find the number of solutions to the equation x^2-2 y^2=1 (mod p), i.e., the number of elements (x,y),x,y=0,1,...,p-1, which satisfy x^2 - 2 y^2=1 (mod p)
- Q The Goodsmell perfume company has a new line of perfume and isdesigning a new bottle for it. Because of the expense of the glassrequired to make the bottle, the surface...
- Q a) y''(x)-3y'(x)=8e3x+4sinxb) y''(x)+y'(x)+y(x)=0c) y(iv)(x)+2y''(x)+y(x)=0
- Q If an undamped spring-mass system with a mass that weighs 24 lband a spring constant 16 lbin is suddenly set in motion at t=0 byan external force of 432cos(8t) lb,...
- Q Find the approximations Ln,Rn, Tn, andMn for n = 5, 10, and 20. Then computethe corresponding errors EL,ER, ET, andEM. (Round your answers to six decimal places.You may wish to...
- Q Solve each item supporting your answer with clearexplanation.1.Consider the following augmented matrix of a system of linearequations.( 7 −3 4 6−3 2 6 22 5 3 −5 )a. Solve the...
- Q what is the  historic development of countingtechniques in math with examples.
- Q The following data set provides information on the lotterysales, proceeds, and prizes by year in Iowa.FYSalesProceedsPrizes1992$166,311,122$45,678,558$92,939,0351993$207,192,724$56,092,638$116,820,2741994$206,941,796$56,654,308$116,502,4501995$207,648,303$58,159,175$112,563,3751996$190,004,182$51,337,907$102,820,2781997$173,655,030$43,282,909$96,897,1201998$173,876,206$42,947,928$96,374,4451999$184,065,581$45,782,809$101,981,0942000$178,205,366$44,769,519$98,392,2532001$174,943,317$44,250,798$96,712,1052002$181,305,805$48,165,186$99,996,233HelpCopy to ClipboardDownload CSVCreate a graph using the sales and year. What approximate rangeof sales...
- Q Find the best quadratic approximation to f(x,y) =e4ycos(-3x) about the origin(0,0) and estimate the value when this approximation is used tocalculate f(0.1,0.1).Do not do the errorapproximation. Also, find the extreme...
- Q The following data set provides information on the lotterysales, proceeds, and prizes by year in Iowa.FYSalesProceedsPrizes1992$166,311,122$45,678,558$92,939,0351993$207,192,724$56,092,638$116,820,2741994$206,941,796$56,654,308$116,502,4501995$207,648,303$58,159,175$112,563,3751996$190,004,182$51,337,907$102,820,2781997$173,655,030$43,282,909$96,897,1201998$173,876,206$42,947,928$96,374,4451999$184,065,581$45,782,809$101,981,0942000$178,205,366$44,769,519$98,392,2532001$174,943,317$44,250,798$96,712,1052002$181,305,805$48,165,186$99,996,233HelpCopy to ClipboardDownload CSVCreate a graph using the sales and year. What approximate rangeof sales...
- Q Consider thefunction ?(?) = ??2and x =0, 0.25, 0.5, 1. Then use the suitable Newton interpolatingpolynomial to approximate f(0.75). Also, compute an error bound foryour approximation.
- Q An Agriculture Department study of more than 94,000 samples frommore than 20 crops showed that 73% of conventionally grown foodshad residues from at least one pesticide. Moreover, conventionallygrown foods were...
- Q 1. A tank initially contains 200 liters of saltwater, with aconcentration of 2g/L salt. Saltwater with a concentration of 5g/Lflows into the tank at 2L/min and the well-mixed solution flows...
- Q solve using laPlace dy/dt+4y=40sin3t; y(0)=6 Please show allsteps and write neat, thanks!
- Q You are responsible for developing a supervisory trainingprogramme for a company. The following table shows therelationships between the activities that must be completed, alongwith estimates of the durations in days.Table...
- Q y''-2ay'+a^2y=60xe^{ax}+60x^2e^{ax}Use the method of undetermined coefficients to find a particularsolution for each equation. Then solve each equation for realgeneral solution.this is a non homogeneous differntial equation
- Q Using Matlab1. Solve the following equations setf1 (x1,x2) = sin (sin (x1)) +x2f2 (x1,x2) = x1+ e^(x2)a) Can this equation set be solved by the fixed - pointmethod with the...
- Q Project flow and Report FormatThe following information must be included in your report:AbstractTable of ContentList of FiguresList of TablesLIST OF ABBREVIATIONSPart 1: IntroductionPart 2: Literature ReviewPart 3: MethodologyPart 4: Result...
- Q 2. (a) Solve the complex equation(1+?)?3−[1+??(?3)]=0 and list all possiblesolutions in Euler’s form with principal arguments.(b) Express the complex number ?=(1−sin?+?cos?)20 inEuler’s form.
- Q You are the finance manager of your company. Yourcompany is planning for capacity expansion and need to borrowRM850,000 from a local bank. The offered term loan will beamortised in 9...
- Q Let u = f(x,y), where x = rcosθ and y = rsinθ. Using the chainrules, carefully calculate the partial derivatives ∂u/ ∂r and ∂u/∂θ , and the second partial derivatives...
- Q How many bit strings of length fifteena) Contain at least four 0s?b) Contain at most four 0s?c) Contain exactly four 0s?d) Begin with four 0s?
- Q Using Runge-Kutta method, compute y(0.3), from the equation dydx = xy 1+x2 with y(0) = 1, take h = 0.1
- Q Take the smallest cellular structure forthe circle X =S1 consistingof a single 0-cell and a single 1-cell. Let Y be the same circlewith two 0-cells and two1-cells with the ends...
- Q Let G be a group acting on a set S, and let H be a group actingon a set T. The product group G × H acts on the disjoint...
- Q prove that the product of 2 dilation is either a translation ora dilation
- Q Please solve questions 1 and 2. Please show all work and allsteps.1.) Find the solution xa of the Bessel equationt2x'' + tx' + t2x = 0 such thatxa(0) = a2.)...
- Q Let R be a ring (not necessarily commutative), and let X denotethe set of two-sided idealsof R.(i) Show that X is a poset with respect to to set-theoreticinclusion, ⊂.(ii) Show...
- Q This is a Matlab QuestionCreate MATLAB PROGRAM that can solve First Order LinearDifferential Equation ( 1 example contains condition and the otherdoes not have condition).1. ty′ + 2y = t^2...
- Q The dataset in the file Lab11data.xlsx contains data on Criminimushrooms. The factor variable is the weight of the mushroom ingrams and the response variable is the total copper content in...
- Q Let R be a commutative domain, and let I be a prime ideal ofR.(i) Show that S defined as R \ I (the complement of I in R) ismultiplicatively closed.(ii)...
- Q Which of the following three inferences are valid? (There is noneed to explain your answers.)(a) Â Â Â Â Â Â Premise:Â Â Â Â Â Â Â Â Liu Yang spendstwo hours every day playing the violin.Conclusion: Â Â Â Â Liu Yang wants...
- Q 8. Determine the centroid, ?(?̅,?̅,?̅), of the solidformed in the first octant bounded by ?+?−16=0and 2?^2−32+2?=0.
- Q Find the optimal solution for the following problem.(Round your answers to 3 decimal places.)Maximize C =16x + 21ysubject to9x + 15y ≤ 2210x + 3y ≤ 29andx ≥ 0, y...
- Q Given the differential equationy′′-3y′-4y=-2sin(2t),  y(0)=-1,  y′(0)=1Apply the Laplace Transform and solve for YY(s)=L{y}Y(s)=   L(y′)=sY(s)-y(0)and L(y′′)=s2Y(s)-y′(0)-sy(0)
- Q a. For each of the following, answer correct to two decimalplacesFind the area under the curve y=3x^3+2Find the area between the curve y=2/x and the x-axis for xbetween -5 and...
- Q Give some examples of applications of integrals from realworld1- area between curves2- distance, velocity, acceleration3- probability
- Q 8. Determine the centroid, ?(?̅,?̅,?̅), of the solidformed in the first octant bounded by ?+?−16=0and 2?^2−2(16−?)=0.
- Q John’s Construction has three projects under way. Each projectrequires a regular supply of gravel, which can be obtained fromthree quarries. Shipping costs differ from location to location,and are summarized in...
- Q Consider the following model: maximize 40x1 +50x2 subject to: x1+2x2 ≤ 40 4x1 +3x2 ≤ 120 x1, x2 ≥ 0 The optimal solution,determined by the two binding constraints, is x1...
- Q Give an example of a continuous function that is not uniformlycontinuous. Be specific about the domain of the function.
- Q Consider rolling two 6-sided dice.What is the probability thatat least two of the rolls have a sum that exceeds 6?at least 7 of the rolls have a sum that is...
- Q Give examples of practical and theoretical math from1700s,1800s,1900s. What was the interaction between the theoreticaland the applied. What extent practical considerations at times getahead of theoretical.           Â
- Q 1.Determine which amounts of postage can be formed using just3-cent and 10-cent stamps.2.Prove your answer to (a) using the principleof mathematical induction. Be sure to state explicitly yourinductive hypothesis in...
- Q prove that if f is a univalent function in D then w=f(z) isconformal mapping in every point in D
- Q Let E be a projective conic through the quadrilateral ABCD, andlet the tangents to E at A and C meet at P on the Line BD. Showthat the tangents to...
- Q Use the graph to find the limit L (if it exists). Ifthe limit does not exist, explain why. (If an answer does notexist, enter DNE.)h(x) = -x/2 + x2(a)lim x→2...
- Q a) Using the method of undetermined coefficients, find thegeneral solution of yʺ + 4yʹ −5y = e^−4xb) Solve xy'=(x+1)y^2c) Solve the initial value problem :(x−1)yʹ+3y= 1/ (x-1)^2 + sinx/(x-1)^2 ,y(0)=3
- Q Consider the nonhomogenous heat equation with time dependentsources ut = uxx + xt, an initial conditionu(x, 0) = x2 and inhomogenous boundary conditionsux(0, t) = 2t and ux(1, t) =...
- Q What is the dominant color with these x and y values? x=7/15, y=7/15 (z= 1/15 of course)Select one:a. Reddish greenb. Greenish bluec. Violetd. Yellow
- Q Yassine took a loan of $6,744.29. The rate of interest is 5%compounded annually. The loan is to be repaid by annual payments of$500 at the end of each year for...
- Q Select a 12 ft cantilever beam with p = 0.012, tosupport a dead load of 2k/f (including self weight) and Live loadof 3 k/ft. fy= 60000 psi, fc'= 3500 psi...
- Q Give 2 examples for each using postulates. (Group theory)1)Semi_Group, 2)Monoid, 3)Group with your own explanation andown answers are appreciated. Do not copy and paste.
- Q Diseases tend to spread according to the exponential growthmodel. In the early days of AIDS, the growth factor (i.e. commonratio; growth multiplier) was around 2.1. In 1983, about 1800people in...
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