Advance Math question and answers for September 09, 2023
- Q Seven thieves try to share a hoard of gold bars equally betweenthemselves. Unfortunately, six bars are left over, and in the fightover them, one thief is killed. The remaining six...
- Q real Analysis1).Let C be the intersection of all the Cn's. You must show C isclosed, measurable, has positive measure, and contains no interval,i.e., if x is in C, every epsilon...
- Q Differential GeometryOpen & Closed Sets, Continuity(1) Prove (2,4) is open(2) Prove [2,4) is not open(3) Prove [2,4] is closed
- Q Solve the following differential equations:1.) y"(x)+ y(x)=4e^x ; y(0)=0, y'(0)=02.) x"(t)+3x'(t)+2x(t)=4t^2 ; x(0)=0, x'(0)=0
- Q A Cartesian vector can be thought of as representing magnitudesalong the x-, y-, and z-axes multiplied by a unit vector (i, j, k).For such cases, the dot product of two...
- Q Assume A = R and the relation R ? A × A such that for x, y, ? R,xRy if and only if sin2 x + cos2 y = 1....
- Q prove or disppprove.Suppose A & B are sets.(1) A function f has an inverse iff f is a bijection.(2) An injective function f:A->A is surjective.(3) The composition of bijections is...
- Q A tank originally contains 100 gal of fresh water. Then watercontaining12lb of salt per gallon is poured into the tank at a rate of 2gal/min, and the mixture is allowed...
- Q intfrac{x^6+5x^4+4x-3}{left(x^2+3x+5ight)left(x^2+7x+12ight)}dx
- Q Can you supply examples of logical operations you apply to youreveryday experience?
- Q Find all possible homomorphisms between Z and Z5.
- Q Use laplace transforms to solve the following problem.y' + 20y = 6sin 2x; y(0) = 6
- Q An ad campaign for a new snack chip will be conducted in alimited geographical area and can use TV time, radio time, andnewspaper ads. Information about each medium is shown...
- Q Use matlab code for bisection method and regula falsi.Thank you!
- Q Vector operators
- Q Let A ? Rn×n be symmetric and positive definite and let C ?Rn×m. Show:,rank(C^TAC) = rank(C),
- Q derive the hyperbolic equation
- Q Let n be a positive integer. Prove that if n is composite, thenn has a prime factor less than or equal to sqrt(n) . (Hint: firstshow that n has a...
- Q y"-2y'+y=cos2t1. general solution of corresponding homongenous equation2. particular solution3.solution of initial value problem with initial conditionsy(0)=y'(0)=0
- Q Exercise 2.16: Consider the folowing dataHistoData36 39 36 35 36 20 1946 40 42 34 41 36 4240 38 33 37 22 33 2838 38 34 37 17 25 38Find the number of clases needed to construct anhistogram.Find...
- Q Write carefully the proof of the dual Pappus theorem.
- Q Find a particular solution toy” + 4y = 16t sin(2t)
- Q Use Jupyter together with the latools.py module to dothe computations of the system :32x + 2y + 4z +0.5t=1548x + 12y + z + 27t = 10040x + y +...
- Q The New England Maple Sugar Company of Los Angeles prepares 2types of maple syrup from maple flavoring and water – called maplebase – and sugar. One gallon of ExtraMaple syruprequires 2...
- Q 1. Find a triangulation for P^2.
- Q Consider a Cauchy-Euler equation x^2y''- xy' +y =x^3 forx>0.a) Rewrite the equation as constant- coefficeint equation bysubstituting x = e^t.b) Solve it when x(1)=0, x'(1)=1.
- Q How would you explain what a Riemann Sum is to a classmate?
- Q Give a numerical example of non routine decision,Determine the relevant costs for this non routine decision anddiscuss the analysis (quantitative and qualitative) required tomake the decision ( Numerical example)
- Q Show that the set of all solutions to the differentialequationf??+f=0,where f?F(R), is a real vector space with respect to the usualdefinition of vector addition and scalar multiplication offunctions
- Q There is a patch of lily pads in a lake. Every week the patchdoubles in size. It takes 45 weeks for the patch to cover theentire lake.What if it takes...
- Q If p(z) is a polynomial of degree n and that if ? is a root ofp(z) = 0, then p(z) factors as p(z) = (z??)q(z) where q(z) hasdegree (n ?...
- Q Maximizing ProfitThe total daily revenue (in dollars) that a publishing companyrealizes in publishing and selling its English-languagedictionaries is given byR(x, y) = ?0.005x2 ? 0.003y2 ? 0.002xy +20x + 15ywhere...
- Q What kind of conic section (or pair of straight lines) is givenby the quadratic form? Transform it to principal axes. Express xT =[x1 x2] in terms of the new coordinate...
- Q ?Formulate the linear programming model for the issue?algebraically by stating the:1) Definition of Decision Variables,2) Objective Function Equation,3) Constraints Equations.??Set up and solve the problem using Excel.Provide your answers and...
- Q Superior Consulting is a firm that specializes in developingcomputerized decision support systems for manufacturing companies.They currently operate offices in Chicago, Charlotte, Pittsburghand Houston. They are considering opening new offices in...
- Q I need the answers simple and in order please!!! go with theletter a,b,c etc.Ahmadi, Inc. manufactures laptop and desktop computers. In theupcoming production period, Ahmadi needs to decide how many...
- Q Prove that the algorithm for computing the coefficients in theNewton form of the interpolating polynomial involves n^2 longoperations (multiplication and division).
- Q Show that the map T(a,b,c) = (bx^2 + cx + a) is an isomoprhismbetween R^3 and P_2
- Q Use Euler's method with the given step size to estimate y(1.4)where y(x) is the solution of the initial-value problem y?=x?xy,y(1)=3.
- Q Let A ? R, let f : A ? R be a function, and let c be a limitpoint of A. Suppose that a student copied down the followingdefinition of...
- Q In this problem you will use undetermined coefficients to solvethe nonhomogeneous equationy???6y?+9y=12te3t?6e3t+18t?21y??6y?+9y=12te3t?6e3t+18t?21with initial valuesy(0)=?3andy?(0)=?2.y(0)=?3andy?(0)=?2.A. Write the characteristic equation for theassociated homogeneous equation. (Use r for your variable.)B. Write the fundamental...
- Q 2. (a) Let p be a prime. Determine the number of elements oforder p in Zp^2 ? Zp^2 .(b) Determine the number of subgroups of of Zp^2 ? Zp^2 whichare...
- Q Let u be a unit vector, and P = Identity vector ? u?u. ComputeP^2 and P^(?1).Hint: Rank one Matrix.
- Q Consider the following functions.f1(x) = cos(2x), f2(x) = 1, f3(x) = cos2(x)g(x) = c1f1(x) + c2f2(x) + c3f3(x)Solve for c1, c2, and c3 so that g(x) = 0 on the...
- Q Let V and W be Banach spaces and suppose T : V ? W is a linearmap. Suppose that for every f ? W? the corresponding linear map f ?T...
- Q A mass that weight 15lb15lb stretches a spring 8in8in. Thesystem is acted on by an external force9sin(43–?t)lb9sin?(43t)lb.If the mass is pulled down 3in3in andthen released, determine the position of the...
- Q 5. Provide a counterexample to a false statement. (The statementmight be a “for all,” “thereexists,” or P ==> Q.)6. Compute the product of two sets.7. Given a relation (as ordered...
- Q 1. Write the following complex numbers in polar form.a. 6 + ?2b. 10 + ?0c. -1/jd. 1/6 (18 + ?24)e. sqrt(-j)
- Q 1. Locate a root of sin(x)=x2 where x is in radians.Use a graphical technique and bisection withthe initial interval from 0.5 to 1. Perform the computation untilea is less than...
- Q 2.48. Is it true that {ax + by + cz|x, y, z ? Z} = {n · gcd(a,b, c)|n ? Z}?2.49. What are all the integer values of e for...
- Q Question 5.Use MATLAB to solve for and plot the response of the followingmodels for 0?t ?1.5, where the input is f (t) =5t and the initialconditions are zeroa. 3¨ x...
- Q areto be formed using only the digits 5,2,6,4,7,1,9 and 8. determinethe number of different possibilities for two digit numbers
- Q Question 1. Find the general solution of the following ODEsa) y?? ? 2y? ? 3y = e?x + 2e3xb) y?? + y? + y = x2 + 4 cos x.
- Q class : Analysis RealQues : give 2 example periodic function and show theperiodic function is uniform contiunity
- Q Calculate the relative (sub-space) topology with respect to theusual (metric) topology in R (the set of real numbers), for thefollowing sub-sets of R:X = Z, where Z represents the set...
- Q A child swinging on a swingset with chains of length l wants toswing and jump off the swing to get as far as possible. At whatangle ?_jump should the child...
- Q At 1:43pm, a can of soda is placed in a fridge where thetemperature is 34?F.At 1:46pm, the temperature of the can had dropped 15?F. At 1:49pm,the temperatureof the can had...
- Q For a tetrahedron-describe the type of groups of a rectangle-describe the orders of the groups-describe the structure of the groups-describe the elements of the groups (make sure to name all...
- Q (a) Let U={(z1, z2, z3, z4, z5)?C: 6z1=z2, z3+ 2z4+ 3z5= 0}.Check if U is a subspace. If U is a subspace, then find a basiswhich span U.
- Q Suppose we have a rod of material of conductivity K =1and situated on the x-axis, for 0 ? x ? 1. Suppose further that therod islaterally insulated, but has a...
- Q Lesson 8Explain why the word "average" should not be used to describemeasures of center.Explain the advantages and disadvantages of the mean.Explain the procedure for finding the standard deviation.Explain why the...
- Q Solve the following linear programming problem. You mustuse the dual. First write down the dual maximization LP problem,solve that, then state the solution to the original minimizationproblem.(a) Minimize w =...
- Q How do I graph this step function?f(t) = -3(2t-3)H(t-2) + (2t-1)H(t-1)Please show step by step.How is it the same graph asf(t) = H(t-1)-3H(t-2)+H(t-1)*2(t-1)-H(t-2)*6(t-2)?Please show why as well.
- Q Design a randomized comparative experiments to testwhether fluoxetine is effective at reducing depression. theparticipants are 100 people suffering from depression and theresponse variable is the change on a standard questionnairemeasuring...
- Q Explain effectiveness of Cost Model Data Set in yourexamples.
- Q a. What are the maximal and minimal elements, if any, of theset (N+,|)? Is there a minimum or maximum element?(N+={1,2,3,4,...}).b. There are five flavors of icecream: banana, chocolate,lemon, strawberry and...
- Q Determine a differential equation that has x = 0 as a regularsingular point and that the roots of the index equation are i andi. Find a solution around x =...
- Q Describe the stereographic projection on the Riemann sphere ofthe set {z : Re z = 1} by an equation in (x, y, z)
- Q Let f : [a, b] ? R be a monotone function.Show that the discontinuity set Disc(f) is countable.
- Q What is the meaning of calculating the "flux" when solvingintegrals? -Also; What is the difference between these integrals?-Line integral-Double integral-Triple integral-Surface integral-Flux, flux integral
- Q Outof 100 seniors, 60 are taking math, 50 are taking biology, 30 aretaking art, 16 are taking math and biology, 10 are taking biologyand art and 6 are taking all...
- Q 1. Magnitude & Direction of VectorWrite a function m-file to find the magnitude and the directionof cosine of vector F which expresses 3 dimension - x, y, andz.Here are requirements...
- Q Week 10 DB: Misleading StatisticsNo unread replies.No replies.1. Where can you find misleading statistics?2.Why do you believe misleading statistics are used in oureveryday lives?3. Find an example of a misleading...
- Q A set of ?rms N = {1,...,n} select quantities of the same goodto sell. Each ?rm i selects qi, and P(q1,...,qi,...,qn) = 1,000?(q1+···+ qn). Assume they will choose q1 +···+...
- Q Solve the following differential equations:1.) y"(t)- 6 y'(t)+9 y(t)=6t^2e^(3t) ; y(0)=y'(0)=02.)x"(t)+4x(t)=t +4 ; x(0)=1 , x'(0)=0
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