Advance Math question and answers for September 04, 2023
- Q 3. For each of the English statements below, do thefollowing:i. Define propositions as necessary,ii. Write the symbolic notation for the implication,iii. Write the symbolic notation for the inverse then write...
- Q On March 11, 2011, Japan suffered an earthquake and tsunami thatcaused a disastrous accident at the Fukushima nuclear power plant.Among many other results, amounts of iodine-131 that were 27 timesthe...
- Q A tree is called central if its center is K1 andbicentral if its center is K2. Show that every tree iseither central or bicentral without using the theorem that thecenter...
- Q Verify the divergence theorem for the vector ?eld F = 2xzi + yzj+z2k and V is the volume enclosed by the upper hemisphere x2 + y2 +z2 = a2, z...
- Q use well ordering principle to prove that sqrt(6) isnot rational
- Q A furniture company produces tables (X) and chairs (Y).Available resources have indicated that the production volume levelshould not exceed 1200 units per week and the demand for chairs isat most...
- Q Consider the nonhomogeneous equation y"-8y'+16y=e^4xcos x. Find a particular solution of the equation by the methodundetermined coefficients.
- Q Graph TheoryProve:If G is a graph for which deg(u)+deg(v) ?n for each uv?EsubG, the G has a Hamiltonian cycle.(with counter examples)
- Q 1. Define Limit , Continuity, and Differentiation2. Provide some applications in the business area using theabove 3 concepts. How will these concepts be useful in your Majorsubject?You can refer to...
- Q 1. Use induction to prove that Summation with n terms where i=1and Summation 3i 2 ? 3i + 1 = n^3 for all n ? 1.2. Let X be the...
- Q Let n be a positive integer. Let S(n) = n sigma j=1 ((1/3j ? 2)? (1/3j + 1)). a) Compute the value of S(1), S(2), S(3), and S(4).b) Make a...
- Q Determine if there exist a nonempty set S with operation ? on Sand a nonempty set S? ? S, which is closed with respect to ?,satisfying the following properties.1) S...
- Q usealgorithm modular exponentiation to find 11^644 mod 645
- Q 10. Solve the following initial value problem:y''' ? 2y '' + y ' = 2e ^x ? 4e^ ?xy(0) = 3, y' (0) = 1, y''(0) = 6BOTH LINES ARE...
- Q Which of these is not a type of transfer that triggers thegeneration skipping transfer tax
- Q Show that the first derivatives of the Legendre polynomials satisfya self-adjoint differential equation with eigenvalue: lamda =n(n+1)-2
- Q Can a closed linear map be unbounded?
- Q whyis it a good idea to report the underlying frequencies whenreporting percentages
- Q Write a function myfn6 which takes as inputs vector u andvalue a, and output as vectorw with its elements being “True, ” or “False, ”(w = [True,False, False, …, True])....
- Q According to the Housing Mobility section of the GeneralSocial Survey, Victoria, 2006 (ABS, Catalogue Number:4159.2.55.001), about 1494 thousand people aged 18 years or overmoved in the last five years. Of...
- Q Tiffany is a model rocket enthusiast. She has been working on apressurized rocket filled with nitrous oxide. According to herdesign, if the atmospheric pressure exerted on the rocket is lessthan...
- Q Please show the calculation process in Excel, thank youWith the gasoline time series data from Table 8.1, show theexponential smoothing forecasts using ?=0.1.Applying the MSE measure of forecast accuracy, would...
- Q Solve the following problem:y ''' ? 2y '' + y ' = 2 ? 24e^ x + 40e ^5xy(0) = 1/2 , y' (0) = 5/2 , y'''(0) = ?...
- Q For what values of x this set is linearly independent?{sin(x), cos(x), x}.
- Q Solve the given differential equation by undeterminedcoefficients. y'' ? 6y' + 9y = 21x + 3
- Q Find the coordinates of the images of A (2,3) and B (-2,3) underthe following transformations. Assume that all dilations arecentered at the origin. Draw sketches to justify your answer.a. A...
- Q A dead body was found within a closed room of a house where thetemperature was a constant 70° F. At the time of discovery the coretemperature of the body was...
- Q Find zw and StartFraction z Over w EndFraction . Write eachanswer in polar form and in exponential form. z equals4 minus 4 i wequalsStartRoot 3 EndRoot minus i The product...
- Q Solve the following differential equation using Linear operatorsand the Annihilator approach as needed.y''-9y=xcosx
- Q A cylindrical tower has radius R meters and a roof which is ahemisphere. The total height of the tower is R + H meters.a)Sketch the tower and label its various...
- Q QUESTION 1 [13]Suppose that due to a gravitational torque exerted by the Moonon the Earth, our planet's rotation slows at a rate of 1.30ms/century (see picture below). Show the full...
- Q Prove:Every root field over F is the root field of some irreduciblepolynomial over F. (Hint: Use part 6 and Theorem 2.)
- Q 1.Two cyclists leave towns 189 kilometers apart at the same time andtravel toward each other. One cyclist travels 5 km/h faster thanthe other. If they meet in 3 hours, what...
- Q Let A be a set of real numbers. We say that A is an open set iffor every x0 ? A there is some ? > 0 (which mightdepend on...
- Q With the completion of the determinations of % potassium, %iron, and % oxalate in the crystals, you may calculate the % water.The percentage compositionof the crystals,KxFe(C2O4)y ·zH2O, has then been...
- Q Classify the following equation and reduce it to canonicalform:yUxx-xUyy=0 , x>0 , y>0
- Q Elementary Differential Equations Problems:1) Find the solution of the initial valueproblem of y" + 3y' = 0, y(0) = -2, y'(0) = 32) Find the general solution of the equation4y"...
- Q Diff. equationsConsider the equation (x^2 ? 2)y''+ 3xy'+ y = 0.a) Find the general solution as a power series centered at x =0. Write the first six nonzero terms of...
- Q Consider the equation xy??+y?+y= 0, x >0.a) Verify that 0 is a regular singular point.(b) Find the indicial equation and its roots.c) Determine the recurrence relation(you do NOT need to...
- Q Given the function f(x) on the right solve the following rootfinding questions: a) Find a positive root (x > 0) of f(x) usingthe Bisection Method. b) Find a negative root...
- Q Take the Laplace transform of the following initial value andsolve for Y(s)=L{y(t)}: y??+4y={sin(?t) ,0, 0?t<11?ty(0)=0,y?(0)=0Y(s)= ? Hint: write the right hand side interms of the Heaviside function. Now find the...
- Q Determine whether it is linear or nonlinear system:1. y(t) = 3 + x(2t)2. y(t) = x(4t)3. y(t) = -4t[x(2t)]4. y(t) = e^2[x(2t)]5. y(t) = x^5(t)6. y(t) = cost[x(2t)]
- Q Consider the following vectors {1 + x + x^2, 1 - x^2, x + 2, 1 - x}.a) Test or refute if the vector set is linearly independent?b) Construct a...
- Q Mullet Technologies is considering whether or not to refund a$75 million, 12% coupon, 30-year bond issue that was sold 5 yearsago. It is amortizing $5 millions of flotation costs on...
- Q A company produces and sells 2,500 sets of silverware each year.Each production run has a fixed cost of 200 dollars and anadditional cost of 5 dollars per set of silverware....
- Q Differential Equations: Find the general solution by usinginfinite series centered at a.2. (x2 +1)y?? + xy? + y = 0, a=0.
- Q Calculate the integral of the function f (x, y, z) = xyz on theregion bounded by the z = 3 plane from the bottom, z = x ^ 2 +...
- Q Solve the non-homogeneous DE: y'' + 2 y' = et+ 3using undetermined coefficients
- Q I have decided to perform squat jumps as a good at home exerciseduring the stay at home order. In the morning I ate two donuts (190kilocalories each) and would like...
- Q Directions: Annual Percentage Yield (APV). Find the annualpercentage yield (to the nearest 0.01%) in each case.1.) A bank offers an APR of 3.2% compoundedmonthly.Directions: Continuous Compounding. Use the formula forcontinuous...
- Q Given a natural number q ? 1, define a relation ? on the set Zby x ? yif x - y is divisible by q.(i) Show that ? is an...
- Q Prove that if ?an converges absolutely, then both?Pn and ?Nn converge
- Q find the order of 3 modulo 29
- Q describe your feelings toward math and list at least onepositive and one negative experience you have had with a mathcourse or mathematics you use in your daily life?
- Q The Carolina Cougars is a major league baseball expansion teambeginning its third year of operation. The team had losing recordsin each of its first 2 years and finished near the...
- Q 1) Define the sets X ={ 1, 2, 3} and Y = {4, 5, 6}. Now, definethe relation R from X to Y by xRy if and only if x...
- Q solve the inital value problem ??? + 6?? + 9? = 2?^(-t) ; ?(0)=4, ?’(0) = ?6
- Q For the following exercises, determine whether the given ordered pair is a solution to the system of equations.x + 8y = 433x ? 2y = ?1 and (3, 5)
- Q Consider the following set of vectors in R6S={[-9 7 -8 3 0 -5], [1 -7 3 2 -8 -8], [-6 -14 1 9 -23 -29], [11-21 14 1 -16 -11],...
- Q You have 10 friends: 3 couples and 4 singles. How many ways canyou invite 7 of them to your house, such that the two people ofevery couple are either both...
- Q A population, obeying the logistic equation, begins with 1000bacteria, then doubles itself in 10 hours. The population isobserved eventually to stabilize at 20,000 bacteria. Find thenumber of bacteria present after...
- Q The zoo is building a new polar bear exhibit, and wants to put asemi-circular window in the concrete wall of the swimming tank.(Note: picture is not to scale)If the semi-circle...
- Q Q2-What are the steps that communicationmanagement process have? Explain on ofthem
- Q Exercise 4.9.29: Solve the following systems of congruences, orstate that there is no solution. Be sure to state if there aremultiple solutions.a. {6 = 13a + b(mod 26), 13 =...
- Q Given that x =0 is a regular singular point of the givendifferential equation, show that the indicial roots of thesingularity differ by an integer. Use the method of Frobenius toobtain...
- Q Solve the differential equationy''(x)-2xy'(x)+2ny(x)=0using the Hermite Polynomials
- Q Determine whether or not the following is an equivalencerelation on N. If it is not, determine which property fails. If itis, prove it.(a) x ? y if and only if...
- Q For an integer k, define f(k) = gcd(11k + 1, 7k + 3).(a) Compute R = {f(k): k ? Z}.(b) For each n ? R, find a set Dn such...
- Q When you're switching to the Laplace domain why doesdifferentiation simoly becoem multiplying by s and integration isdivision by s? Explain mathematically (but for an engineer tounderstand ) using the definition...
- Q Solve listed initial value problems by using the LaplaceTransform:3. yll+ 4y = t ?1, y(0) = 1,yl(0) = ?1
- Q A furniture factory has 2230 machine hours available each weekin the cutting? department, 1470 hours in the assembly? department,and 2960 in the finishing department. Manufacturing a chairrequires 0.3 hours of?...
- Q determine the orthogonal bases for subspace of C^3 spanned bythe given set of vectors. make sure that you use the appropriateinner product of C^3A=[(1+i,i,2-i),(1+2i,1-i,i)
- Q Suppose A is the set of positive real numbers, and suppose u andv are two strictly increasing functions.1 It is intuitive that uand v are ordinally equivalent, since both rank...
- Q Tanks A and Bare filled with 100 gal and 200 gal of brinerespectively. Initially, 40 lb of salt dissolved in the solution intank A and 20 lb of salt dissolved...
- Q consider the functionf(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 andf''(x)=-10x^2-9x+5/(x^2+1)^5/2a) find the local maximum and minimum values. Justify youranswer using the first or second derivative test . round youranswers to the nearest tenth...
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