Advance Math question and answers for August 03, 2023
- Q On April 11, 2014, Cynthia received a loan of $45,000 at 5.55%compounded monthly. On May 13, 2015, the interest rate onthe loan changed to 5.75% compounded quarterly and remainedconstant thereafter....
- Q 1. For each of the phenomena described below, propose aprobability distribution for the numerical variable(s) involved andgive the corresponding formula.e) Compute the probability of observing exactly k alternations ofcolours in...
- Q Problem 2: Indirect and Euclidean proofs (40 pts) For thefollowing problems, you must use an indirect proof technique.(a) (10 pts) Prove indirectly that, if a 2 is a multiple of...
- Q 1.How many permutations of the 26 letters are there that containnone of the sequences ROCK, STONE, PLUG, FIT or HAY?
- Q Solve both ways:a) y" -2y' + y = e^2xb) Solve only by variation of parametersb) y" -9y = x/(e^3x)c) y" -2y' + y = (e^x)/(x^4)d) y" + y = sec^3...
- Q What is the number of comparisons in the bubble sort algorithm,if it is used to sort a list of n-entries? Justify yourformula.
- Q Your task is to build a wastewater treatment plant to handle allof the domestic wastewater produced by a housing estate. Usingpopulation equivalent, PE = 65000, design, describe and calculatebriefly the...
- Q solve the given DE or IVP (Initial-Value Problem).a. 2y? + y cot x = 8y-1 cos3 xb. y? = sin2 (3x ? 3y + 1)c. xy? + y ln x...
- Q Use the simplex method to solve the linear programmingproblem.MaximizeP = x + 2y + 3zsubject to2x+y+z?213x+2y+4z?362x+5y?2z?15x ? 0, y ? 0, z ? 0
- Q A company manufactures Products A, B, andC. Each product is processed in three departments: I, II,and III. The total available labor-hours per week for DepartmentsI, II, and III are 900,...
- Q (PDE)Write the soln using separation of variables , in the form offourir series:Utt=Uxxboundary: U(t,0)=0=U(t,pi)initial :initial: U(0,x)=1 and Ut(0,x)=0
- Q Dewey Corp. is expected to have an EBIT of $2.45 million nextyear. Depreciation, the increase in net working capital, andcapital spending are expected to be $180,000, $85,000, and$185,000, respectively. All...
- Q Universal Mines Inc. operates three mines in West Virginia. Theore from each mine is separated into two grades before it isshipped. The daily production capacities of the three mines, aswell...
- Q Let D3 be the symmetry group of an equilateral triangle. Showthat the subgroup H ? D3 consisting of those symmetries which arerotations is a normal subgroup.
- Q You have a jar containing pennies, nickels, dimes, and quarters.In how many ways can you select exactly 10 coins if the order inwhich you select them does not matter and1....
- Q Find the particular solution:y??4y?+4y=(?11.5e^(2t))/(t^(2)+1)
- Q Consider the following system of equations for allproblems.The following system of equations is designed to determineconcentrations (the c’s in g/m3) in a series of coupled reactors asa function of the...
- Q Let a be a positive element in an ordered field. Show that if nis an odd number, a has at most one nth root; if n is aneven number, a...
- Q Solve the following problem by DynamicProgramming:Maximize z = (y1 + 2)^2 + y2 * y3 + (y4 - 5)^2subject toy1 + y2 + y3 + y4 <= 5yi >= 0...
- Q Project proposal "Exploring the role of small andmedium enterprises in Zimbabwe".
- Q For each of the following groups, find all the cyclic subgroups:(a) Z8, (b) Z10, (c) Zx10, (d) S4.
- Q Part 1: Encrypt the message CINEMA using RSA with n = 17 * 11and e = 13, use A =10...Z = 35, work in blocks of one lettereach.Part 2: Decrypt...
- Q Solve the differential equation 2x^2y"-x(x-1)y'-y = 0 using theFrobenius Method
- Q 1. Give an example of a 3rd order nonlinear ordinarydifferential equation.
- Q 3. In R4 , does the set {(1, 1, 1, 0,(1, 0, 0, 0),(0,1, 0, 0),(0, 0, 1, 1)}, span R4? In other words, can youwrite down any vector (a,...
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