Advance Math question and answers for August 23, 2023
- Q Water with a small salt content (5kg per 1000 liters) isflowing into a very salty lake at the rate of 4 x 105li/hr. The salty water is flowing out at...
- Q 4) Consider ? ? ? × ? with {(?,?)|?2 =?2}. Prove that ? is an equivalence relation, andconcisely characterize how its equivalence classes are differentfrom simple real-number equality.
- Q Make up a conditional statement of your own, clearly state itthen find the following:The statement:What is its converse?What is its inverse?What is its contrapositive?What is the sufficient condition of the...
- Q Show that there are no magic squares of order greater than one ifwe require each row, column and diagonal to have a constantproduct.
- Q how much horsepower would a car need to travel at thespeed of sound at sea level?assume the car weighs 4436 lbassume no windassume no driveline horsepower losscoefficientsCd = .398A =...
- Q Give examples of derangements of {1,2,3,4,5,6,7,8,9} of order 3and of order 20. (A permutation in Sn is a derangement if it has nofixed points).
- Q Consider the group Z/mZ ? Z/nZ, for any positive integers m andn that are divisible by 4. How many elements of order 4 does Ghave, and why?
- Q AllElectronics carries 1000 products, P1, . . . , P1000.Consider customers Ada, Bob, and Cathy such that Ada and Bobpurchase three products in common, P1, P2, and P3. For the...
- Q Number Theory:Let p be an odd number. Recall that a primitive root, mod p, isan integer g such that gp-1 = 1 mod p, and no smallerpower of g is...
- Q solve y'' + 4y =6 sin (t);y(0) =6, y'(0)=0 using 1st laplacetransforms, 2nd undertinend coefficent, and 3rd variation ofparameters.
- Q Prove that the range of a matrix A is equal to the number ofsingular non-null values of the matrix and Explain how thecondition number of a matrix A relates to...
- Q Suppose G is a group and H and H are both subgroups of G.Let HK={hk, h?H and k ?K}a.give a example such that |HK| not equal to |H| |K|b. give...
- Q Let an denote the number of different ways to colorthe walls of a five-sided room with n colors if you insist that twowalls that meet at a corner must be...
- Q Let H and K be subgroups of a group G so that for all h in H andk in K there is a k' in K with hk = k'h....
- Q Let A = {1,2,3}. Determine all the equivalence relations R on A.For each of these, list all ordered pairs in the relation.
- Q Maximize p = x + 8y subject tox+y?25y?102x?y?0x ? 0, y ? 0.P=? (X,Y)= ? (NOT BY GRAPHING)
- Q WEB ANALYTICSWrite a review applying some of the concepts to the fashionindustry. Offer an introduction and a summary, Conduct additionalresearch and offer at least four additional references andcitations. Offer references...
- Q Definition 1 (Topological space). Let X be a set. A collection Oof subsets of X is called a topology on the set X if the followingproperties are satisfied:(1) emptyset ?...
- Q Use the data in the following table to create a fractionnonconforming (p) chart. The column ofnp represents the number ofnon-conforming units. Is the process in control? (5 points)Samplennpp110070.072100100.103100120.12410040.04510090.096100110.117100100.108100180.189100130.1310100210.21Question 2A bank's...
- Q use the approximate Half-Life formula for the casedescribed below.discuss whether the formula is valid for the casedescribed. poaching is causing a population of elephants to declineby 8% per year. (1)...
- Q Given the following data, use exponential smoothing with a = 0.3and ? =.5 to develop a demand forecasts for period7. Assume that the forecast for week 1= 19. Use the MeanAbsolute...
- Q show the steps how to get the result of this integral withinfinite and -infinite as boundaries((x^2*(e^x)/((e^x+1)^2) = pi^2 / 3
- Q There lays a 10x10 square grid in front of Claire and she isinstructed to stand in the lower left square of the grid. She isasked to make her way to...
- Q For a linear transformation between two finite-dimensionalvector spaces.A) State the "Rank-Nully Theorem" for the lineartransformation.B) Prove the "Rank-Nully Theorem" you just stated in (A).
- Q 9. In 2018, 77% of the population of Netflix consumers in theUnited States had a positive opinion of theservice. (remember, a percentage is a proportion x 100, so thepopulation proportion...
- Q 1) Choose a subgroup of Pentagons D5, and list allthe left or right cosets of your pet. Will the set of right cosetsbe different from the left cosets? Explain.2) Does...
- Q The approach of mathematics has changed over theyears. Describe how the approach of mathematics beganstarting in Ancient Babylonia, and then discuss how it changedduring the time of the Ancient Greeks. Then, comparethis...
- Q Prove that every outerplanar graph is 3-colorable.
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q I'm tasked with finding the characteristic equation,eigenvalues, and bases for the eigenspaces of this matrix[1, -3, 3][3,-5,3][6,-6,4]After working on the problem, I believe the characteristicequation is (? + 2)^2(?-4), giving...
- Q Prove that the composition of two quotient maps is a quotientmap.
- Q 1. Let T : Mn×n(F) ? Mn×n(F) be the transposition map, T(A) =At. Compute the characteristic polynomial of T. You may wish to usethe basis of Mn×n(F) consisting of the...
- Q Use Laplace Transforms to solve the following second-orderdifferential equation: y"-3y'+4y=xe2x where y'(0)=1 and y(0)=2
- Q 1.(4-x^2)y''+2y=0, x0=0(a) Seek power series solutions of the given differentialequation about the given point x0; find the recurrencerelation.(b) Find the first four terms in each of two solutions y1 and...
- Q y'''-2y"-y'+2y=xex^2+2xa) Find a general solution to the corresponding homogeneousequation, given that e2x is one.b) In the method of variation of parameters, find v1,where v1e2x + v2y2 +v3y3 = yp is...
- Q Define f : Z × Z ? Z by f(x, y) = x + 2y. (abstract algebra)(a) Prove that f is a homomorphism.(b) Find the kernel of f.
- Q Farmer Pickles wants Bob to paint the circular fence whichencloses his sunflower field. If the parametric equations x = 18cos(?) and y = 18 sin(?) describe the base of the...
- Q Bob signs a note promising to pay Marie $3875 in 3 years at 9.5%compounded monthly. Then, 102 days before the note is due, Mariesells the note to a bank which...
- Q Let S_k(n) = 1^k + 2^k + ··· + n^k for n, k ? 1. Then, S_4(n) isgiven byS_4(n)= n(n+1)(2n+1)(3n^2 +3n?1)/ 30Prove by mathematical induction.
- Q find Lagrange polynomials that approximate f(x)=x^3,a) find the linear interpolation p1(x) using the nodes X0=-1 andX1=0b) find the quadratic interpolation polynomial p2(x) using thenodes x0=-1,x1=0, x2=1c) find the cubic interpolation...
- Q Find the product from the multiplication table for thesymmetries of an equilateral triangle the new permutation notationto verify each of the following:A) R(240)R3 B) R3R(240) C) R1R3 D) R3R1
- Q A ?eld F is said to be perfect if every polynomialover F is separable. Equivalently,every algebraic extension of F is separable. Thus ?elds ofcharacteristic zero and?nite ?elds are perfect. Show...
- Q In the new system under development for Benny's Used Cars, seventables will be implemented in the new relational database. Thesetables are New Vehicle, Trade-in Vehicle, Sales Invoice, Customer,Salesperson, Installed Option,...
- Q What is the last digit of 123456789012345678×609 in base 6.Don’t try to compute the product.
- Q 7. Let E be a ?nite extension of the ?eld F of primecharacteristic p. Show that theextension is separable if and only if E = F(Ep).
- Q Let A = {r belongs to Q : e < r < pi} show that A isclosed and bounded but not compact
- Q Let ? ? C be a root of x^2 + x + 1 ? Q[x]. For ? = 3 + 2? ?Q(?), find ?^ ?1 as an element of Q(?).Let...
- Q The data set cherry.csv, from Hand et al. (1994), containsmeasurements of diameter (inches), height (feet), and timber volume(cubic feet) for a sample of 31 black cherry trees. Diameter andheight of...
- Q Find the characteristic equation and the eigenvalues (andcorresponding eigenvectors) of the matrix. 2 ?2 5 0 3 ?2 0 ?1 2 (a)the characteristic equation (b) the eigenvalues (Enter your answersfrom...
- Q Find all the six roots of z = 16?16 sqrt (3i).
- Q Mitch and Bill are both age 75. When Mitch was 25 years old, hebegan deposited $1400 per year into a savings account. He madedeposits for the first 10 years, and...
- Q prove that for x is an odd, positive integer, 3x ??1 (mod 4).I'm not sure how to approach the problem. I thought to assume thatx=2a+1 and then show that 3^x...
- Q A rectangular box without a lid is to be made from 12 m^2 ofcardboard. Find the maximum volume of such a box
- Q Provide an example:1) A sequence with infinitely many terms equal to 1 andinfinitely many terms that are not equal to 1 that isconvergent.2) A sequence that converges to 1 and...
- Q Diane has decided to play the following game of chance. Sheplaces a $1 bet on each repeated play of the game in which theprobability of her winning $1 is .6....
- Q Find the work done in moving a particle once around an ellipse Cin the XY- plane if the ellipse has a center at the origin withsemi-major axis p and semi-minor...
- Q Prove that the covariant derivative of an arbitrary tensor is atensor of which the covariant order exceeds that of the original byone.
- Q PART II RECORD THE FOLLOWING TRANSACTIONS IN THE GENERAL JOURNAL:1-On May 15, 2007, Matrix, Inc sold building materials for $ 10,800that are subject to a 9% sales taK. 2-On May...
- Q the table below lists information for seven Cepheid variableswhere ‘Period’ is the pulsation period of the star, and ?/?? is theluminosity in solar units.Period (days)L/L?4.58357.2141815.0376129.3817651.61662382.828220172.575140a) Plot the PL relation for...
- Q Patio Iron makes wrought iron outdoor dining tables, chairs, andstools. Each table uses 8 feet of a standard width wrought iron, 2hours of labor for cutting and assembly, and 2...
- Q Given two planes 2x - y + z = 7 and x + 3y - 4z = 1.(a) Give an orthogonal vector to each plane.(b) Do the planes intersect? Why...
- Q Use induction to prove that for any positive integer n, 8^n -3^n is a multiple of 5.
- Q Let G be a simple undirected graph with n vertices where n is aneven number. Prove that G contains a triangle if it has at least(n^2 / 4) + 1...
- Q Discus one application of graph theory.
- Q For the given functions f and? g, complete parts? (a)-(h). Forparts? (a)-(d), also find the domain.f left parenthesis x right parenthesis equals StartFraction 7 xplus 9 Over 9 x minus...
- Q Use the Laplace transform to solve the given system ofdifferential equations. dx/dt + 3x + dy/dt = 1 dx/dt ? x + dy/dt ?y = e^t x(0) = 0, y(0)...
- Q Prove the following Theorems:1. A finite union of compact sets is compact.2. Any intersection of compact set is compact.3. A closed subset of a compact set is compact.4. Every finite...
- Q Solve the LP problem using graphical method. Determine theoptimal values of the decision variables and compute the objectivefunction.Maximize Z = 2A + 10BSubject to10A + 4B ? 40 A +...
- Q Discuss at least three things SOX did or introduced to minimizeinformation asymmetry effects.
- Q 1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solutionofthe second order linear differential equation: (y'') + ( 6y') + (-27y) = ( 2) + ( -3)x. Find A,B,F,G,whereA>B. This exercise may show "+...
- Q 1.write a function to represent the volume of the box given that thesum of the height and perimeter of the base is equal to 240 inches.2. what dimensions (lenght width...
- Q consider the countour C given by |z+1|=1.5 orientedcounterclockwise. Evaluate the integral_c(z^5+4z^3+9z^2+1+e^4z)/(z^k); where k= 1,2,3,4,5,6,7. Their shoudbe seven answers.
- Q Consider A, B and C, all nxn matrices.Show that:1) det(A)=det(A^T)2) if C was obtained from A by changing the i-th row (column) withthe j-th row (column). Show that det(C)=-det(A)3) det(AB)=det(A)det(B)4)...
- Q Let the surface (S) be the part of the elliptic paraboloid z =x2 + 4y2lying below the plane z = 1. We define the orientation of(S) by taking the unit...
- Q Show if A, B, C are connected subsets of X and A?B not equal ?and B ?C not equal ?, then A?B ?C is connected.
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