Advance Math question and answers for August 12, 2023
- Q y'' - y = e^(-t) - (2)(t)(e^(-t)) y(0)= 1 y'(0)= 2Use Laplace Transforms to solve. Sketch the solution or usematlab to show the graph.
- Q 1) Show the absolute value function f(x) = |x| is continuous atevery point.2) Suppose A and B are sets then define the cartesian product A* BPlease answer both the questions.
- Q 1.) (10pts) Consider the following differential equation:(x^2)(dy/dx)=2x(sqrt(y))+(x^3)(sqrt(y))a)Determine whether the equation is separable (S), linear (L),autonomous (A), or non-linear (N). (An equation could be more thanone of these types.)b)Identify the region...
- Q The table below shows a dataset representing the ages ofemployees working for three different districts. Assuming a minimumworking age of 18 and a mandatory retirement age of 65:Ages for Employees...
- Q Find the distinct sixth roots of -64
- Q Please calculate the questions below:10 portions or 1.45 ltr of finished pumpkin soup320 g pumpkin, peeled110 g onions cleaned and washed1100 ml chicken stock300 ml heavy creamPlease calculate the followingHow...
- Q Problem 8-25 (Algorithmic)Georgia Cabinets manufactures kitchen cabinets that are sold tolocal dealers throughout the Southeast. Because of a large backlogof orders for oak and cherry cabinets, the company decided tocontract...
- Q generate the following matrices with given rank and verify withthe rank command. Include the Matlab sessions in your report asindicated.A) is 8x8 with rank 3.B) is 6x9 with rank 4.C)...
- Q 8. The cardinality of S is less than or equal to the cardinalityof T, i.e. |S| ? |T| iff there is a one to one function from S toT. In...
- Q Use direct substitution to verify that y(t) is a solution of thegiven differential equation in Exercise Group 1.1.9.15–20. Then usethe initial conditions to determine the constants C or c1 andc2.17....
- Q (Differential Equations) Consider the differential equationxy’-x4y3+y=0Verify that the function y =(Cx2-x4)-1/2 is a solution of thedifferential equation where C is an arbitrary constant.Find the value of C such that y(-1)...
- Q Ross White (see Problem 9) wants to reconsider his decision ofbuying the brackets and is considering making the bracketsin-house. He has determined that setup costs would be $25 inmachinist time...
- Q Three frogs are placed on three vertices of a square. Everyminute, one frog leaps over another frog, in such a way that the"leapee" is at the midpoint of the line...
- Q Find the vector and parametric equations for the plane. Theplane that contains the lines r1(t) = <6, 8, 8,> + t<-2,9, 6> and r2 = <6, 8, 8> + t<5,...
- Q A person borrows money at i^(12) = .12 from Bank A, requiringlevel payments starting one month later and continuing for a totalof 15 years (180 payments). She is allowed to...
- Q Let V be a vector space and let U and W be subspaces of V . Showthat the sum U + W = {u + w : u ? U...
- Q Use Newton-Raphson to find the real root to five significantfigures 64x^3+6x^2+12-1=0. First graph this equation to estimate.Use the estimate for Newton-Raphson
- Q 1) Determine whether these statements are true or false. Pleaseexplain why so I can understand where the answers came froma) ? ? {?}b) ? ? {?, {?}}c) {?} ? {?}d)...
- Q | | a1 | a2 ||----|------|------|| b1 | 0.37 | 0.16 || b2 | 0.23 | ? |5. Calculate the conditional probability distribution,?(?|?)P(A|B).6. Calculate the conditional...
- Q Determine whether the statements in (a) and (b) are logicallyequivalent.Bob is both a math and computer science major and Ann is a mathmajor, but Ann is not both a math...
- Q Discribe in 300. words systems like RSA; authentication in public-key systems uses digital signature it was invented in 1977 by Ron Rivest, Adi Shamir, and Leonard. please type
- Q Let G = Z4XZ3XZ2 and consider the two cyclic subgroups H = h(0;1; 1)i and K = h(2; 1; 1)i of G. (a) Find all cosets (along withthe elements they...
- Q COMP1805AB (Fall 2019) ? "Discrete Structures I" Specificationfor Assignment 1 of 4Please ensure that you include your name and student number onyour submission. Your submission must be created using MicrosoftWord,...
- Q Determine if the vector(s), polynomial(s), matrices are linearlyindependent in R^3, P3(R), M 2x2 (R). Show algebraically how youfound your answer.a. < 2, 1, 5 > , < -2, 3, 1...
- Q Using the informationbelow, complete the tax form 1040 above.Brian and Sheila Williams were married in October of 2008. Theylive at 1000 Main Street, Atlanta, GA 33127. Brian is a postalservice...
- Q Big Red Bookstore wants to ship books from its warehouses inBrooklyn and Queens to its stores, one on Long Island and one inManhattan. Its warehouse in Brooklyn has 700 books...
- Q A solid is bounded by the sphere centered at the origin ofradius 5 and the infinite cylinder along the z-axis of radius3.(a) Write inequalities that describe the solid in Cartesiancoordinates.(b)...
- Q Convert the follow system of equations to standard form andsolve using Simplex method to find optimal solutionMaximize 10.75x + 5.3yconstraints0.25x + 0.6y < = 10000.50x + 0.1y <= 10000.25x +...
- Q A school is conducting optimization studies of the resources it has. One of the principal concerns of the Director is that of the staff. The problem he is currently facing...
- Q A surveyor needs to determine the side and angle measurementsfor a triangular corner lot. He know the angle where the twostreets meet is 70 degrees, the length along one street...
- Q Find a polynomial of the form f(x) = ax3 + bx2 + cx + d suchthat f(0) = ?3, f(1) = 2, f(3) = 5, and f(4) = 0. (A...
- Q reflect on the three things you learned in thissection about Ivy Tech Community College that will help you becomea successful student. Make sure to write complete sentences usespecific examples to...
- Q Let k ? 2. Use that R (the real numbers) is complete to show R^kis complete.
- Q PeripateticShippingLines,Inc.,isashipping company that owns nships and provides service to n ports. Each of its ships has aschedule that says, for each day of the month, which of the portsit’s currently...
- Q If you don't have a calculator, you may want to approximate(243.034)^3/5 by 243^3/5. Use the Men Value Theorem to estimate theerror in this approximation.
- 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 In the real projective plane, list all possible + / - (positiveand negative) patterns for three coordinates. Then match thesetriples to regions of the Fundamental Triangle. Also, describe thelocation of...
- Q Use the method of exhaustion to prove the following statement:“For every prime number p between 30 and 58, 10 does not divide p ?9.”Prove that 0.17461461 . . . is...
- Q Let V = {P(x) ? P10(R) : P'(?4) = 0 and P''(2) = 0}. If V=M3×n(R), ?nd n.
- Q #1 (a) Express, if possible,b= (7,8,9) as a linear combinationof u1= (2,1,4),u2= (1,?1,3),u3= (3,2,5)(b) What is Span{u1,u2,u3}?(c) Is the set{u1,u2,u3}linearly independent?#2 Considerv1= (1,2,1,1),v2= (1,1,3,1) and v3= (3,5,5,3). Find ahomogeneoussystem the...
- Q Given a sequence of closed intervals arranged so that eachinterval is a subinterval of the one preceding it and so that thelengths of the intervals shrink to zero, then there...
- Q The number of U.S. dial-up Internet households stood at 42.5million at the beginning of2004 and was projected to decline at the rate of 3.9 millionhouseholds per year for the next...
- Q most important part c)Determining whether a quantified logical statement is true andtranslating into English, part 2.infoAboutIn the following question, the domain of discourse is a set ofmale patients in a...
- Q LU Decomposition(i). Prove that for n equal to 2 or 3 there is a non-singularsquare (n by n) matrix which has no LU decomposition with L unitlower triangular and U...
- Q initially a large tank with a capacity of 300 gallons contains150 gallons of clean water. A solution of salt with a concentrationof 2 lb / gal flows into the tank...
- Q We say that a set of system specifications is consistent ifthere is a way for all the specifications to be simultaneouslytrue. Otherwise, the set of specifications is inconsistent.Consider the following...
- Q Use the Laplace transform to solve the given initial-valueproblem.y'' ? 7y' = 12e6t ?6e?t, y(0) = 1, y'(0) = ?1
- Q A firm has prepared the following binary integer program toevaluate a number of potential locations for new warehouses. Thefirm’s goal is to maximize the net present value of their decisionwhile...
- Q A 1-kg mass stretches a spring 20 cm. The system is attached toa dashpot that imparts a damping force equal to 14 times theinstantaneous velocity of the mass. Find the...
- Q Fibonacci numbers are defined by F0 = 0, F1 = 1 and Fn+2 = Fn+1+ Fn for all n ? N ? {0}.(1) Make and prove an (if and only...
- Q y? ? y ? 2x sin x
- Q Solve this Initial Value Problem using the Laplacetransform:x''(t) - x'(t) - 6x(t) = e^(4t),x(0) = 1, x'(0) = 1
- Q solve using variation of perametersy'''-16y' = 2
- Q Use Laplace transformations to solve the following ODE forx(t):x¨(t) + 2x(t) = u?(t) + 3u(t)u(t) = e^?tInitial conditionsx(0) = 1, x?(0) = 0, u(0) = 0
- Q For the function, supply a valid technology formula.r(x) = 30 (1 + 1/3.8)^4x30*(1 + 1/3.8)^(?4*x)30*(1 + 1/3.8)^(4*x) 30*(1 + 1/3.8)*(4*x)30*(1 + 3.8)*(4*x)30*(1 + 3.8)^(?4*x)x?3?2?10123r(x)Then use technology to compute the missing values...
- Q Given the integral 1/x dx upper bound 2 lower bound 1(a) use simpson's rule to approximate the answer with n=4Formula:f(x)=1/3[f(x0)+4f(x1)+2f(x2)+...+f(xn)]?x(keep answer to6 decimals)b)how large is n in order for the...
- Q Solve the following IVPs and determine the interval of validityof the solution.(i)y? = ?1+x2 , y(0)=1(ii)y? =e?y(x?2), y(4)=0
- Q 1.A product of two functions (exponential)2. A quotient of two functions (logarithmic)3. example of a composite function4. A sum of two functions (rational)5. A difference of two function (rational or...
- Q how many irreducible polynomials of degree 2 in Z3 [x]
- Q YearQtrtrevenue ($M)2011115.889226.141338.272449.3022012156.436266.932378.9874810.6022013197.5172107.7313119.88341212.09820141138.4872148.68531511.55941615.221201511711.13221811.20331913.8342016.979201612112.31222213.45232317.65942421.655201712517.19722619.0532722.49942825.629Which is the most accurate method of the decompositionmethods used for the following data set.Additive with seasonal only, Additive with trend plus seasonal ,Multiplicative with seasonal only ,Multiplicative with...
- Q Find the intersection point (if any) of the linesr1(t)=(17,54,?22)+t(?3,?8,3)r1(t)=(17,54,?22)+t(?3,?8,3) andr2(s)=(?67,?50,37)+s(12,8,?7)r2(s)=(?67,?50,37)+s(12,8,?7).Please show full working/steps to help with learning
- Q Sum An a series and |An| cnverges to 0. If the partial sum Sn(A1+A2+...+An) is bounded, is the partial sum Sn' of all absolutevalue of An (|A1|+|A2|+...+|An|) also bounded?
- Q Solve this differential equation(4x - 2y)dx + (2x - 9y)dy = 0
- Q 2. The MCAT, Medical College Admissions Test, must betaken by students wishing to gain entrance to most Medical Programsin Canada and the United States. There are four sections: PhysicalSciences (PS),...
- Q What extensions to other mathematics and real world applicationsdoes Group Cohomology have?
- Q discuss how moral motivation relates to poor ethical decisionmaking
- Q Choose your favorite unique vectorb in R3 with no 0 entries.What is your vector b?Based on the “Equivalent Conditions for a Non-Singular Matrix”on page 123 in our text, why must...
- Q Let A be a square matrix defined by (a) Find the eigenvalues and eigenspaces of A.(b) Show that A is diagonalizable. Diagonalize A.
- Q Set up and solve the given BVP heat problem. Supposethere is a rod of length L coinciding on the x-axis from 0 ? x ? Lwith insulated ends, and with...
- Q Suppose that a group G acts on its power set P(G) byconjugation.a) If H?G, prove that the normalizer of N(H) is the largestsubgroup K of G such that HEK. In...
- Q How to write a hypothesis statement for Data analysis andgraphing lab using the metric system?
- Q Search the internet for real-world applications of logarithms orexponential functions. Share the application you discovered withthe class along with how it relates to logarithms or exponentialfunctions. Besure to cite the...
- Q Question Consider the function ?(?) = ??2 and x = 0,0.25, 0.5, 1. Then use the suitable Newton interpolating polynomialto approximate f(0.75). Also, compute an error bound for yourapproximationDont use...
- Q For each counties in the metro area, it gives an estimate of thepopulation on Jan. 1, 2000, and the percent change between 1/1/2000and 1/1/2010. If we assume that the percent...
- Q Solve the given integral equation for y(t):y(t) + 10 ?(0 to t) cos(5(t??))y(?)d? = 6t
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