Advance Math question and answers for July 25, 2023
- Q Prove that there exist infinitely many positive real numbersr such that the equation 2x +3y + 5z = r has nosolution (x,y,z) ? Q × Q × Q.(Hint: Is the...
- Q Step (D) of the divide-and-conquer strategy (i.e. combine thesolutions to smaller instances of the problem to obtain thesolution of the original instance) is not a necessary step for thisdesign strategy....
- Q An individual possesses 5 umbrellas which he employs in goingfrom his home to the office, and vice versa. If he is at home atthe beginning of a day and it...
- Q A sequence is just an infinite list of numbers (say realnumbers, we often denote these by a0,a1,a2,a3,a4,.....,ak,..... sothat ak denotes the k-th term in the sequence. It is not hard...
- Q Give exact solutions for each of the recurrence relations. Findthe equilibrium values. Are the equilibrium values stable?a. x(n+1) = 1.5x(n) x(0) = 20b. x(n+1) = -0.75x(n) + 5 x(0) =...
- Q Use the elimination method to find a general solution for thegiven linear? system, where differentiation is with respect tot.x'=5x-6y+sin(t)y'=3x-y-cos(t)
- Q An element a in a ring R is called nilpotent if there exists ann such that an = 0.(a) Find a non-zero nilpotent element in M2(Z).(b) Let R be a...
- Q 7. Suppose Bob has the public key (n, e) = (21733, 691). You areEve, and you have intercepted the ciphertext C = 21012. On a whim,you decide to check whether...
- Q Let ?1 ? , ?2 ? , ?3 ? be three vectors from ?3 such no twovectors are parallel, and ?3 ? is not in the plane spanned by ?1...
- Q There are 1000 mailboxes at a post office, numbered 1, 2, 3, …,1000. There are also 1000 mailbox owners, one for each mailbox. Atthe start of the Mailbox Challenge, all...
- Q Write a linear program for the following problem. (Do notsolve.)A ship is transporting rice and wheat from California to Alaska. Ithas three cargo holds with the following capacities:• The forward...
- Q Find the general solution of the ODE:y'' ? 6y' + 9y = (1 + x^2)e^2x .
- Q An image is partitioned into two regions, one white and theother black. A reading taken from a randomly chosen point in thewhite section will be normally distributed with ?=4 and...
- Q 1. ¬B?(G?J), H?(B&C) ?(H&J)?G2. A?B, C?¬(B?D) ?C?A3. (A&B) ? (F?G), (A&F) & B?(G?R)?R4. T?¬B, T?¬D ? T?¬(B?D)5. ¬(M?¬S), S?(R?M) ?A ? (¬R?T)6. (F&G) ? I, (I?J) ? K ?F?(G?K)7. ¬U,...
- Q (8) Suppose T : R 4 ? R 4 with T(x) = Ax is a lineartransformation such that • (0, 0, 1, 0) and (0, 0, 0, 1) lie in...
- Q Linear Algebra: Explain what a vector space is and offer anexample that contains at least five (5) of the ten (10) axioms forvector spaces.
- Q Solve the cauchy problem (x^2)*y''-9*x*y'+21*y=0, y'(1)=5 on theinterval (1,3). Plot the graphs of y(x) and y'(x)Please Provide only MATLAB Code.
- Q Calculate the final dates on which cash discounts for thefollowing invoices may be taken, and the amount to remit. Invoicetotal is $5,500 and invoice date is 6/13. Merchandise is receivedon...
- Q Suppose that in any given period an unemployed person will finda job with probability .6 and will therefore remain unemployed witha probability of .4. Additionally, persons who find themselvesemployed in...
- Q Consider the system;dx/dt=x(1-x/10)-1/2xydy/dt=2y(1-y/6)-xy(a) Find all equilibrium solutions.(b) Draw the phase plane.(c) On the phase plane, mark• all equilibrium solutions.• the lines where dx/dt =0, dy/dt =0• an arrow indicating the...
- Q Given a group G with a subgroup H, define a binary relation on Gby a ? b if and only if ba^(-1)? H.(a) (5 points) Prove that ? is an...
- Q Let ? be a ??algebra in ? and ?:? ?[0,?] a measure on ?. Showthat ?(???) = ?(?)+?(?)??(???) where ?,? ??.
- Q : For each conjecture below, you are todescribe in words what the Null Hypothesis and AlternativeHypothesis are. Consider the decision that you have to make basedupon your conjectures. Explain in...
- Q Given two functions, M(x, y) and N(x, y), suppose that (?N/?x ??M/?y)/(M ? N)is a function of x + y. That is, let f(t) be a function suchthatf(x + y)...
- Q (Theorem 3.1): If xp is any solution of (?) x?? + p(t)x? + q(t)x= f (t), and xh is a general solution of (??) x?? + p(t)x? + q(t)x= 0),...
- Q 1. Let R be the rectangle formed by going along line segmentsfrom 1 to i to -1 to -i and back to 1. If f(z)=1/(z-5i) then theintegral around R of...
- Q Twenty calculus students are comparing grades on their first twoquizzes of the year. The class discovers that every pair ofstudents received the same grade on at least one of the...
- Q 4) Let ? = {2, 3, 5, 7}, ? = {3, 5, 7}, ? = {1, 7}. Answer thefollowing questions, giving reasons for your answers.a) Is ? ? ??b)Is ?...
- Q short paragraphs1) When factoring a trinomial, is the factored form unique orcan there be more than one factored form? 2) When factoring, what does it mean that a polynomial isprime?
- Q Two square matrices A and B are called similar if there existsan invertible matrixV suchthatB=V?1AV.(a) Explain in detail how similarity is related to the change ofbasis for- mula. What does...
- Q Prove or disprove: Between any n-dimensional vector space V andRn there is exactly one isomorphism T : V ?Rn .
- Q 5) CHART - Create a 3-D pie chart showing the breakdown of totalHours Worked into total Overtime Hours and the NonOvertime hourslocated at the bottom of the database listing, row...
- Q Let U and V be vector spaces, and let L(V,U) be the set of alllinear transformations from V to U. Let T_1 and T_2 be inL(V,U),v be in V, and...
- Q Let A and B be orthogonal Latin squares oforder n, with symbols 0, 1 …, n – 1. Let B’ beobtained from B by permuting the symbols in B.Show that...
- Q Let A be an m x n matrix. Prove thatAx = b has at least one solutionfor any b if and only if A has linearlyindependent rows.Let V be a...
- Q An important practice is to check the validity of any data setthat you analyze. One goal is to detect typos in the data, andanother would be to detect faulty measurements....
- Q Let T(x1, x2) = (-x1 + 3x2, x1 - x2) be a transformation.a) Show that T is invertible.b)Find T inverse.
- Q Develop an assembly language program for 89c51to do following {Marks 10}Store any 8 values of one byte each anywhere in Scratch Padarea of RAM. You are bound to use loop...
- Q A = { [1,2,3,2] , [-2,0,-2,-4], [0,4,4,0], [1,2,3,2]}Can you answer the following questions regarding thismatrix:a) Find the null space of Ab) Find vectors v1,v2.... such that Null A = span...
- Q Personnel in a luxury hotel readily offer advice andrecommendations about services and area activities. Complete eachsentence with the correct verb form, either the infinitive, presentindicative, or present subjunctive, according to...
- Q role and benefit of auditing standards inAustralia
- Q Assume the reader understands derivatives, and knows thedefinition of instantaneous velocity (dx/dt), and knows how tocalculate integrals but is struggling to understand them. Usestudents’ prior knowledge to provide an explanation...
- Q 1. Determine if the following deduction rule is valid:p?q¬p_______? q2. Determine if the following is avalid deduction rule:(p?q)?r¬ p ? ¬ q________? ¬r3. Suppose p and q are (possiblymolecular) propositional...
- Q State and sketch a proof of Cauchy’s Theorem (not Cauchy’sIntegral Formula). You need not show all of the details, justdescribe the general steps.
- Q Define multiplication on ?? by ? ? ? = ? where ? is theremainder when the product ?? is divided by ?.(a) Show that this operation is commutative.(b) Show that...
- Q In each of the following cases, give an explicit formula fors2m.(1) s2n = 2sn+sn, s1 = 0(2) s2n = 2sn-n, s1 = 3(3) s2n = 2sn+5-7n, s1 = 0
- Q a.) Prove the following: Lemma. Let a and b be integers. If botha and b have the form 4k+1 (where k is an integer), then ab alsohas the form 4k+1.b.)The...
- Q Suppose an object falls from a great height on a planet where the constant of the acceleration of gravity is g = 7.84. Assume that the resistance of the atmosphere...
- Q Use the method of variation of parameters to determine aparticular solution to the given equation.y???+27y??+243y?+729y=e^?9xyp(x)=?
- Q (1 point) A tank is filled with 1000 liters of pure water. Brinecontaining 0.05 kg of salt per liter enters the tank at 6 litersper minute. Another brine solution containing...
- Q ANTM Lease and BHP Ltd. sign a lease agreement dated 1January 2019, that calls for ANTMto lease a backhoe to BHP beginning January 1, 2019. The agreementasks ANTM Lease givethe...
- Q For a fraction nonconforming of p = 0.05, which type of planwould give you the lowest ASN?a.Single Sampling Plansb.Double Sampling Plansc.Sequential Sampling Plansd.Simple Random Sampling Plans
- Q Solve the following system :z” + y ? = cos x,y” ? z = sin x,z(0) = ?1, z? (0) = ?1, y(0) = 1, y? (0) = 0.
- Q Prof. X has two brilliant students Y and Z inhis class. He introduces theconcept of vector spaces, bases and dimension in his 5th session.As an exercise,he gives a vector space...
- Q The problem below involves three variables. Solve it with thesimplex method, Excel, or some other technology.Patio Iron makes wrought iron outdoor dining tables,chairs, and stools. Each table uses 8 feet...
- Q Let k be an integer satisfying k ? 2. Let G be a connected graphwith no cycles and k vertices. Prove that G has at least 2 verticesof degree equal...
- Q Question 3(a):When customers arrive at Cool's Ice Cream Shop, they take a numberand wait to be called to purchase ice cream from one of the counterservers. From experience in past...
- Q Solve the following equation using Green’s functions. Set up theintegral for the particular solution and evaluatey''+9y=x+sinx y(0)=1,y'(0)=2
- Q For any n ? 1 let Kn,n be the complete bipartite graph (V, E)where V = {xi : 1 ? i ? n} ? {yi : 1 ? i ?...
- Q Solve the following differential equation using Linear operatorsand the Annihilator approach as needed.y''+2y'+y=x^2-3x
- Q Suppose that e(t) is a piecewise defined functione (t) = 0 if 0 ? t < 3ande(t) = 1 if 3 ? tSolvey’’+ 9y = e(t)y(0) = 1 y’(0) =...
- Q 6. The function f(t) =0 for ? 2 ? t < ?1?1 for ? 1 ? t < 00 for t = 01 for 0 ? t < 10 for...
- Q Using a real world example, state the domain and range of thefunction or relationship. What are the practical things to considerwhen limiting the domain and range of a real world...
- Q A biologist must make a medium to grow a type of bacteria. Thepercentage of salt in the medium is given by S=0.01x2y2zS=0.01x2y2z, where SS is the percentage expressed as a...
- Q Let?F(x,y) =xi+yj/(e^(x^2+y^2))?1. Let C be a positivelyoriented simple closed path that encloses the origin.(a) Show that?F·Tds= 0.(b) Is it true that ?F·Tds= 0 for any positively oriented simpleclosed path that...
- Q You are in your first month as an internal auditor in thecorporate offices of Cover-Up Fraud-Mart, a large regional varietystore chain based in Los Angeles. Your manager has just given...
- Q Evaluate the line integral, where C is the given curve, where Cconsists of line segments from (1, 2, 0) to (-3, 10, 2) and from(-3, 10, 2) to (1, 0,...
- Q 1. Write a statement that satisfies the following:universal statement (for all, for every, etc.)uses variables and a set (integers, rational numbers, or realnumbers)the predicate is a conditional (if...then...) statementthe predicate...
- Q 22.7. Services that require a password often imposeconstraints to prevent the user from choosing a password that iseasy to guess. Consider a service that requires an 8-characterpassword, using the 26...
- Q Solve the following IVPs:A. y"" +2y??+y = 4et, y(0)=1, y?(0)=1, y??(0)=1,y???(0)=1.B. y???+25y? = 325e?t, y(0) = 0, y?(0) = 0, y??(0) = 0.
- Q V and W are finite dimensional inner product spaces,T:V?W is alinear map, and?represents the adjoint.1A: Let n be a positive integer, and suppose that T is definedon C^n (with the...
- Q 195 dots are placed in a square that is 4 x 4 units.This configuration creates an issue where at least two pointsneed to be very close to one another, no...
- Q Determine the unique solution of the given initial valueproblem that is valid in any interval not including the singularpoint. 4x2y’’ + 8xy’ + 17y =0; y(1)= 2, y’ (1) = 2(31/2 )?...
- Q Suppose that a community contains 15,000 people who aresusceptible to a contagious disease. If N(t) represents the numberof people who have become infected in thousands, where t is time indays,...
- Q Q1-Find all possible time domain signals correspondingto the following z-transform:X(z) = (z3 + z2 + 3/2 z + 1/2 ) /(z3 + 3/2 z2 + 1/2 z)Q2-A digital linear time...
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