Advance Math question and answers for September 06, 2023
- Q Example 1.8. Fix a domain D, and let V be the set of allfunctions f(t) definedon D. Define addition and scalar multiples as with polynomials forall t ? D:(f +...
- Q Prove: Let A be an mxm nonnegative definite matrix withrank(A)=r Then there exists an mxr matrix B having rank of r, suchthat A=BBT
- Q 14. Extra Credit: Cayley’s Theorem is an important one inadvanced algebra. It says that “Every algebraic group is isomorphicto some permutation group.” Demonstrate this to be true by findinga permutation...
- Q Fill in the blanksUSING THE TERMSLISTED BELOW, (10 TERMS LISTED) CHOOSE THE BEST ANSWERS TO FILL INTHE BLANKS.Paragraph #1: Mark, aninvestor, examines the financial statements of Disney. Hecalculates gross profit...
- Q Consider the region bounded between y = 3 + 2x - x^2 and y = e^x+ 2 . Include a sketch of the region (labeling key points) and useit to...
- Q brief one paragraph summary report about a Road Plan and Profile(PnP) Drawing.
- Q assume that U(x, y) = xy, Px = 1, Py = 4 and B = 120.Using the Bordered Hessian matrix, verify that the second-orderconditions for a maximum are satisfied. Show...
- Q A={1,3,4},B={2,3}Check ALL of the Cartesian products to which the followingelements belong:(1,1)A. A×AB. A×BC. B×BD. B×A(3,3)A. B×BB. A×AC. B×AD. A×B(3,1)A. B×BB. B×AC. A×BD. A×A(1,2)A. A×AB. B×AC. A×BD. B×B
- Q prove the following statement: If the augmented matrices of twolinear systems are row equivalent, then those systems areequivalent.(To do this, start with a solution to one of the systems andshow...
- Q Use variation of parameters to solve the following differentialequationsy''-5y'-6y=tln(t)
- Q Suppose all even-indexed linear transformations in the chaincomplexC•are 0 transformations and all odd-indexed transformationsare bijections.Compute the homology of this complex
- Q Does {1,2,3} ,{3,4,5}, {1,4}, {1,5}, {2,4}, {2,5} form anincidence geometry? If so do any of the parallel postulates hold(Elliptic, Euclidean, Hyperbolic parallel postulates)?
- Q Verify that the three eigenvectors found for the two eigenvaluesof the matrix in that example are linearly independent and find thecomponents of the vector i = ( 1 , 0...
- Q y=fx1,……..,x5)St:c1=w1(x1,……..,x5)c2=w2(x1,……..,x5)By using the signs of the principal minorsHj1-Derive the second- order-sufficient condition for maximum.2-Derive the second order-sufficient condition for minimum
- Q A round-robin tournament is an event wherein every competingteam plays every other team once and only once. Assuming no ties,every game can be depicted on a graph G using a...
- Q A beam is embedded at the left end and free at the other endwith a constant loadw0=48EIuniformly distributed across its length. (6pts)and L =1.(a)Is this an initial value problem? Explain.(b)...
- Q The town of Ferndale has four candidates running for mayor: thetown barber, Darrell; the fire chief, Clough;the grocer, Abel; anda homemaker, Belle. A poll of 1000 of the voters shows...
- Q Obtain a spectral decomposition for the symmetric matrix A = [02 2, 2 0 2, 2 2 0] (that means the first row is 022, then belowthat 202, etc.) ,...
- Q Suppose you are climbing a hill whose shape is given by theequationz = 1400 ?0.005x2 ?0.01y2,where x, y, and z are measured inmeters, and you are standing at a point...
- Q 1. Perform two iterations of the gradient search method onf(x,y)= x^2+4xy+2y^2+2x+2y. Use (0,0) as a starting point. Pleasefind the optimal ?* by taking the derivative and setting it equalto 0.
- Q If u(t) = < sin(5t),cos(5t), t > andv(t) = < t, cos(5t),sin(5t) >, use the formula below to find the givenderivative.d/dt[ u(t) * v(t)] = u'(t) * v(t) + u(t)*...
- Q Prove or disprove the following statements.(a) There is a simple graph with 6 vertices with degree sequence(3, 3, 5, 5, 5, 5)?(b) There is a simple graph with 6 vertices...
- Q I need a decision treeConsider a scenario in which a college must recruit students.They have three options. They can do nothing. Alternatively, theycould make their own ad campaign, spending $200,000....
- Q Problem 5. During droughts, water for irrigation is pumped fromthe ground. When ground water is pumped excessively, the watertable lowers. In California, lowering water tables have been linkedto reduced water...
- Q Un = {x ? Zn* | x & n arerelatively prime}; w/ operator multiplication modulo(n)show: Un is a commutative group.
- Q QuestionSuppose you are given a 7 digit number which is a UPC. Provethat if a mistake is made when scanning the number, causing onedigit to be read incorrectly, then you...
- Q 2. Given A = | 2 1 0 1 2 0 1 1 1 |.(a) Compute eigenvalues of A.(b) Find a basis for the eigenspace of A corresponding to eachof...
- Q Questions in Graph Theory:In the subject of the degree sequence of graph, answer thefollowing:When does a d-regular graph have an Eulerian trail? and Whendoes it have an Eulerian circuit? Note:...
- Q Usea mathematical induction forProve a^(2n-1) + b^(2n-1) is divisible by a + b, for n is apositive integer
- Q Solve the given initial-value problem.X' =1 ?11 3X +tt + 1, X(0) =98X(t) =
- Q java programmingYou will be given two interfaces and two abstract classes,FileTextReader, FileTextWriter,AbstractFileMonitor, and AbstractDictionary. Your job isto create two classes the first class should be namedFileManager, the second class should...
- Q You may have used shortcuts to see if a number is divisible byanother. Where do they come from? Why are some numbers left out?Could you prove these shortcuts?
- Q ssume you lend $10.000 for a five (5) year period. The currentthe real rate at the time you lend the money is 2.3%. You chargenorisk premium on the loan.At the...
- Q Find a general solution of the following equations:A. y??? +6y?? +11y? +6y = ?e^-tB. y??? + y? = t.
- Q amanufacturer of two types of swings, Tarzan and High Flyer, makes aprofit of $59 on Tarzan swings and $69 on High Flyer swings. In themanufacturing process of each Tarzan swings...
- Q Find the distance from(2, ?7, 7)to each of the following.(a) the xy-plane(b) the yz-plane(c) the xz-plane(d) the x-axis(e) the y-axis(f) the z-axis
- Q 14.6. Say that a string x overlaps a string y if thereexist strings p, q, r such that x = pq and y = qr, with q ?= ?. Forexample,...
- Q QUESTION: In each part, find a formula for a vector fieldconsistent with the description. Provide at least one numericexample showing the consistency of the formula and the description(an example follows...
- Q 3. A small fire is sighted from ranger stations A and B. Thebearing of the fire from station A is N35E, and the bearing of thefire from station B is...
- Q Suppose that Rhode Island has a population of 1,023,948 people withnineteen representatives. Suppose that North Dakota has apopulation of 782,505 people with fifteen representatives.(a)Determine the average constituency for each State.(b)Determinewhich...
- Q 1. In 1995, the enrollment at a certain university was 2400students and increases by 11% per year.a. What will the enrollment be in the year 2008?b. In what year will...
- Q An electrical contractor pays his subcontractors a fixed feeplus mileage for work performed. On a given day the contractor isfaced with three electrical jobs associated with various projects.Each subcontractor will...
- Q (a) Apply the chain rule to express ?/??, ?/??, and ?/?? using?/?x, ?/?y, and ?/?z.(b) Solve algebraically for ?/?x, ?/?y, and ?/?z with ?/??,?/??, and ?/?? when ? does NOT...
- Q Let LaTeX: GG be an abelian group. Let LaTeX: H = { g in G midg^3 = e }H = { g ? G ? g 3 = e }....
- Q ??????Variable Identification: how do i know if they have 1 or 2variables?A study was conducted to investigate the possible link betweenvaccination in children and autism.Individual: a single childVariable 1:QN or...
- Q A particle of mass 1 is attached to a spring dashpot mechanism.The stiffness constant of the spring is 3 N/m and the drag forceexerted on the particle by the dashpot...
- Q For the following exercises, write the equation of the quadratic function that contains the given point and has the same shape as the given function.Contains (1, ?6) has the shape...
- Q For the following exercises, use the given information about the polynomial graph to write the equation.Degree 5. Roots of multiplicity 2 at x = 3 and x = 1, and...
- Q (a) Show that the diagonal entries of a positive definite matrixare positive numbers.(b) Show that if B is a nonsingular square matrix, thenBTB is an SPD matrix.(Hint. you simply need...
- Q a. Prove the Archimedes result that the area of a section of aparabola equals times the area of the inscribed triangle of thesame height. (You may use calculus here.)b. In...
- Q Demand for propane is given by D(x) = 6.5 ? 0.25x, and supply isgiven by S(x) = 2.1 + 0.15x, where x is in gallons per monthcustomer and D(x) and...
- Q This problem deals with the RC circuit shown to the rightcontaining a resistor? (R ohms), a capacitor? (C farads), a?switch, a source of? emf, but no inductor. The differentialequation for...
- Q Find the smallest positive integer x that satisfies the systemof congruencesx ? 3 (mod 5).x ? 5 (mod 7).x ? 7 (mod 11)
- Q Consider a projectile launched at a height h feet abovethe ground and at an angle ? with the horizontal. If theinitial velocity is v0 feet per second, thepath of the...
- Q solve this IVP9y'' +33.33y' +464.21y=8sin(t/4), y(0)=0, y'(0)=.04
- Q Find the Fourier series expansion of the function f(t) = t + 4 ,0 =< t < 2pi
- Q A mass weighing 17 lb stretches a spring 7 in. The mass isattached to a viscous damper with damping constant 2 lb *s/ft. Themass is pushed upward, contracting the spring...
- Q Demand for propane is given by D(x) = 6.5 ? 0.25x, and supply isgiven by S(x) = 2.1 + 0.15x, where x is in gallons per monthcustomer and D(x) and...
- Q The Tax Cuts & Jobs Act enhanced the deduction forcharitable contributions by raising the limit that can becontributed in any one year. The limit is now 60% of adjusted grossincome...
- Q Solve using the Laplace transform: y" + 4y = g(t) where y(0) =y'(0).Hint: Use the convolution theorem to write your answer. You mayleave your answer expressed in terms of an...
- Q Asa leader, how can you best utilize quality assurance and qualitycontrol to best improve your organization?
- Q Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c)Simpson’s Rule to approximate the given integral with the specificvalue of n. (Round your answer to six decimalplaces). ?13 sin (?)...
- Q Thepoint Q (ql , q2) is the image of the point P(p1, P2) on the line r. (ai + bj) + c = O. Show that a(q2 - P2) -...
- Q Dean takes his boat out fishing every weekend. His current boatis still in okay condition, but he decides he’d like to buy a newone. He finds the boat of his...
- Q A Professor decides to hide their hoard money, 100 identicalgold coins, in 20 unique locations hidden across the city. It isassumed that multiple coins or even none can be stored...
- Q a symmetric group S5 acts on the set X5 = {(i, j) : i, j ? {1,2, 3, 4, 5}}.S5 will also act on this set. Consider the subgroup H...
- Q Mass Springs Systems problem (Differential Equations)A mass weighing 6 pounds, attached to the end of a spring,stretches it 6 inches.If the weight is released from rest at a point 4...
- Q The circles whose equations are Irl2 - 2r· (i + 2j) - 4 = 0and Irl2 + 2r· (4i - 2j) + 6 = 0, intersect at the points A...
- Q Trevor, imprisoned in a cell, wishes to get a message to hisfriend, Franklin who is loitering outside a wall surrounding hisprison. Trevor has wrapped his message round a stone, and...
- Q Sxplain in yours own words the difference between inertial and non-inertial coordinate frames. In addition to these words, use thewords apparent forces (and what forces in particular), rotation,Newton's Law, net...
- Q How many numbers between 9 and 3009 are divisible by 2, 5, or11? Please answer correctly. Thanks
- Q Usea linearization to estimate 2.03^5.Find the differential of f(?) = ?^2 ? 3x.Find the absolute maximum and minimum values of ?(?) = ?^3 ?3?2 on the interval [-1,3].
- Q Consider G = (Z12, +). Let H = {0, 3, 6, 9}.a. Show that H is a subgroup of G.b. Find all the cosets of H in G and denote...
- Q Find the periodic payment R required to amortize a loanof P dollars over t years with interest chargedat the rate of r%/year compounded m times a year.(Round your answer to...
- Q 3. Consider4 the homogenous linear second order differentialequationy?? ? 2y? + y = 0 (?)(a) Verify that the function y = e^x is a solution of equation(?) on the interval...
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