Advance Math question and answers for July 06, 2023
- Q Write a user-defined MATLAB function that converts real numbersin decimal form to binary form. Name the function b = deciTObina(d), where the input argument d is the number to be...
- Q Assisted Instruction:Has to be in PERL SCRIPTING LANGUAGE with NO SUBROUTINESProgramming Exercise:Write a program in PERL with NO SUBROUTINES to allow the user topick a type of arithmetic problem to...
- Q Suppose that the array X consists of real numbers X[1], X[2], …,X[N]. Write a pseudocode program to compute the minimum of thesenumbers.
- Q A radioactive material disintegrates at a rate proportional tothe amount currently present. If Q(t) is the amount present at timet, thendQ/dt=−rQwhere r>0 is the decay rate.If 300 mg of a...
- Q A skydiver, weighing 180 lb (including equipment) fallsvertically downward from an altitude of 4000 ft and opens theparachute after 10 s of free fall. Assume that the force of airresistance,...
- Q The following integral equation for f : [-a, a] ----->RÂ Â arises in a model of the motion of gas particles on aline:
- Q Prove the following theorem. Using the ruler function axiom. Listall axioms and definitions used.Let P and Q be two points, then the line segment AB=BA (AB andBA have lines over...
- Q prove that the square of the product of 3 consecutive integersis always divisible by 12
- Q 1)The doctor has determined that the reason you and your childfell ill is that you have a protein deficiency. Therefore, youdetermine to increase the amount of protein that you and...
- Q Using the SATGPA data set in Stat2Data package. Test by using α=.05.1) Create the following three variables and then print out allthe six variables.Create a new variable “SATâ€, which is...
- Q write a Matlab function file to solve system Ax=b byusing the output of the function lufac2a your function should haveinputs f=matrix return from lufac2a, piv=array return by lufac2aand b=right hand...
- Q Let {z0, z1, z2, . . . , z2017} be the solution set of theequation z^2018 = 1. Show that z0 +z1 +z2 +···+z2017 = 0.
- Q Carry out a numerical experiment to compare the accu- racy ofFormulas (5) and (19) on a function f whose derivative can becomputed precisely. Take a sequence of valuesforh,suchas4−nwith0≦n≦12.hint: For CE...
- Q 2. According to Newton’s Law of Cooling, the rate of change ofthe temperature of an object can be modeled using the followingdifferential equation:dT/dt = k(T-TR)where T is the temperature of...
- Q 1) Explain what it means to solve something by analytical,numerical, and graphical methods. What is the value and limitationof each method?
- Q 1) A morbid inquiry: Which is greater – the number of peoplealive in the world at this moment or the number of people that havedied in all of history? Think...
- Q In the 1991 Gulf War, the Patriot missile defense system faileddue to round off error. The troubles stemmed from a computer thatperformed the tracking calculations with an internal clock whoseinteger...
- Q I need a user developed \"eig\" function (copy of alreadydeveloped eig function from matlab) without using too much higherorder math (matrix multiplication, cross and dot products andelementary row operations are...
- Q What are good textbooks to cover these topics?Sets: sets and their elements, finite and infinite sets,operations on sets (unions, intersections and complements),relations between sets(inclusion, equivalence), non equivalentinfinite sets, cardinal numbers.Binary...
- Q You have studied a number of mathematical structures. Vectorspace, metric space, topo- logical space, group, ring and field aresome examples. Give general definitions and specific examples.Comment on some of the...
- Q Let f: X→Y be a map with A1, A2⊂X andB1,B2⊂Y(A) Provef(A1∪A2)=f(A1)∪f(A2).(B) Provef(A1∩A2)⊂f(A1)∩f(A2).Give an example in which equality fails.(C) Provef−1(B1∪B2)=f−1(B1)∪f−1(B2),where f−1(B)={x∈X: f(x)∈B}.(D) Provef−1(B1∩B2)=f−1(B1)∩f−1(B2).(E) Provef−1(Y∖B1)=X∖f−1(B1).(Abstract Algebra)
- Q (a) 2, 3, 6, 11, 18, . . . (i) Write down the next two terms inthis sequence. Answer(a)(i) ....................... ,....................... [2] (ii) Describe, in words, the rule forcontinuing this...
- Q 1. Can you please provide some solved problems based on Langevinequation and Fokker planck equation (statistical Mechanicsprobems)?
- Q Create a grand strategy matrix for an organization of yourchoice. Ideally, the company you choose will be a familiar one andone to which you have easy access, such as your...
- Q Use Cauchy-Riemann equations to show that the complex functionf(z) = f(x + iy) = z(x + iy) is nowhere differentiable except atthe origin z = 0.6 points) 2. Use Cauchy's...
- Q Solve the differential equation Y’(t) = AY(t), with initialcondition Y(0) = [1;0] (a 2x1 matrix); where A = [ 9 , 5 ; -6 , -2]. Then, using Euler’s method...
- Q For each of the following functions, find the extreme value of z(this can be either max or min), subject to a given constraint bythe method of direct substitution.(a) z =...
- Q prove by induction that for any simple connected graph G, if G hasexactly one cycle then G has the same number of edges andnodes
- Q In the latest reality TV show, the finalists (in no particularorder) are: April and Andy, Leslie and Ben, and Donna and Chris,all of whom live in Indiana. Voting for the...
- Q You will write a short (less than two pages double-spaced)paper. The paper may include diagrams, graphs, or screenshots.Your boss has given you the following data table. The tableshows the temperatures...
- Q the matrix A=[-5,1;-21,5] has eigenvalues Г1=-2 and Г2= 2 the basis of the eigenspace v1=[1,3] v2=[1,7]find the invertible matrix S and diagonal matrix D such that S^-1AS=DS=D=
- Q The matrix A=[-2,0,2;0,-4,0;-2,0,-6]has a single eigenvalue=-4 with algebraic multiplicity three.a.find the basis for the associated eigenspace.b.is the matrix defective? select all thatapply.1. A is not defective because the eigenvalue has...
- Q Let X be a compact space and let Y be a Hausdorff space. Let f ∶X → Y be continuous. Show that the image of any closed set in Xunder...
- Q (a) Prove that Q(sqareroot 5)={a+b sqareroot 5 ; a,b in Z} is asubring of Z.(b) Show that Q(sqareroot 5) is a conmutative ring.(c) Show that Q(sqareroot 5) has a multiplicative...
- Q A special chessboard is 2 squares wide and n squares long. Usingn dominoes that are 1 square by 2 squares, there are many ways tocompletely cover this chessboard with no...
- Q Exact Differential Equations:(3x^2 y^2 - 3y^2) dx + (2x^3y - 6xy + 3y^2) dy = 0
- Q A cut in funding for processing the Supplemental NutritionalAssistance Program (SNAP) at farmer’s markets has sparked anoutrage across the country, especially in local communities.Analyze the effects of these cuts. In...
- Q You're cleaning up your little nephew's toy room. There are Ttoys on the floor and n empty toy storage boxes. You randomly throwtoys into boxes, and when you're done the...
- Q Consider the following initial value problemdy/dt = 3 − 2*t − 0.5*y, y (0) = 1We would like to find an approximation solution with the stepsize h = 0.05.What is...
- Q A cardboard container is being designed. The container will be arectangular shape, divided into 12 smaller rectangularcompartments. The bottom of the box must be a fixed area A, andstrips of...
- Q 18.2.6. Problem. Let M be a metric space with the discretemetric.(a) Which sequences in M are Cauchy?(b) Show that M is complete.
- Q 34. Use the first isomorphism theorem to prove that there is nohomomorphism from D6 that has an image containing 3 elements
- Q at a certain company, password must be formed 3-5characters long and composed of the 26 letters of the alphabet, 10digits 0-9, and 14 symbols.A. how many passwords are possible if...
- Q If t is any positive integer, describe a reduced residue system(RRS) modulo 2t , with explanation.
- Q Incorrect Theorem. Let H be a finite set of n horses. Supposethat, for every subset S ⊂ H with |S| < n, the horses in S areall the same color....
- Q 3. Let F : X → Y and G: Y → Z be functions.i. If G ◦ F is injective, then F is injective.ii. If G ◦ F is surjective,...
- Q prove that connected sets are preserved by continuous functions.please be clear and do not write in script
- Q Hello, I have a question about the heat equation withNon-homogeneous Boundary Conditions in Differential Equations. u_t= 4u_xx u(0, t) = 2 u_x(3, t) = 0 u(x, 0) = x. If...
- Q Prove or disprove using a Truth Table( De Morgan's Law) ¬(p∧q) ≡ ¬p∨¬q Show the Truth Table for (p∨r) (r→¬q)
- Q Write a truth table for the proposition: ¬(q ? r)? (¬p ? ¬r). Consider a ?1? to be true and a ?0? to befalse.
- Q You're cleaning up your little nephew's toy room. There are Ttoys on the floor and n empty toy storage boxes. You randomly throwtoys into boxes, and when you're done the...
- Q Let A = 0 2 01 0 20 1 0 .(a) Find the eigenvalues of A and bases of the correspondingeigenspaces.(b) Which of the eigenspaces is a line through the...
- Q ***PLEASE SHOW ALL STEPS WITH EXPLANATIONS***Let G be a group (not necessarily an Abelian group) oforder 425. Prove that G must have an element of order5
- Q Letφ:G→G′be a group homomorphism. Prove that Ker(φ) is a normalsubgroup of G. Prove both that it is a subgroup AND that it isnormal.
- Q You're cleaning up your little nephew's toy room. There are Ttoys on the floor and n empty toy storage boxes. You randomly throwtoys into boxes, and when you're done the...
- Q Find the general solution of y 00 + y = (tan t) 2 .
- Q Each of the faces of a regular tetrahedron can be painted eitherblack orwhite. Up to rotation, how many ways can the tetrahedron bepainted? Please provideall the necessary computations and explanations....
- Q solve the edo below by laplace transformA metal plate is 50 cm long, at the end x = 0 toplate temperature is = 980K. The one-dimensional temperature distribution on the...
- Q Let A =   [  0 2 01 0 20 1 0 ]  .(a) Find the eigenvalues of A and bases of the correspondingeigenspaces.(b) Which of the eigenspaces is a line...
- Q Prove that there exists a negative number.
- Q 2. Prove that |[0, 1]| = |(0, 1)|
- Q A computer manufacturer produces three types of computers:laptop, desktop, and tablet The manufacturer has designed theirsupply chain in such a way so that the final assembly of theircomputers entails putting...
- Q In how many ways n distinct balls can be given to k children sothat no child gets more than 3 balls?
- Q A certain lake currently has an average trout population of10,000. The population naturally oscillates above and below averageby 1,000 every year. This year, the lake was opened to fishermen.If fishermen...
- Q Create a hot and cold game in Matlab to find a point in an (X,Y)2D coordinate plane. The user answers two inputs: x=Input('x')y=Input('y'). THE INPUTS WILL ONLY BE INTEGERS FROM...
- Q Solve Laplace’s equation wxx + wyy = 0 onthe rectangle R = {(x, y) : 0 ≤ x ≤ a, 0 ≤ y ≤ b} subject to theboundary conditions w(x,...
- Q Consider a two-dimensional ideal flow in the x-y plane (withradial coordinate r2 = x2 + y2). Given the velocity potentials of1) a uniform flow, 2) a source φ = (q/2π)...
- Q Let X and Y be T2-space. Prove that X*Y is also T2
- Q Block copy, and paste, the argument into the window below, anddo a proof to prove that the argument is valid.1. (p  • q)  •  (q ⊃  x)2. ~x v ~s3. n  ...
- Q We denote by N^∞= {(a_1, a_2, a_3, . . .) : a_j ∈ N for all j ∈Z^+}.  Prove that N^∞is uncountable.Please answer questions in clear hand-writing and show me...
- Q let p3x be the third order polynomiol interpolatign functionf(x)=sin(x) at 0,1/3,2/3,1 show that for any x in [0,1] we havef(x)-p3(x), or equal to 1/54
- Q A non-uniform b-spline curve knot vector is given as (-1, -1,-1, -1/2, 0, 0, 0, 1, 1, 1, 3/2, 2, 2, 3, 3, 3, 3). Show theequation diagrammatically and sketch...
- Q 1a) In a certain year, 89% of all Caucasians in the U.S., 75% ofall African-Americans, 75% of all Hispanics, and 74% of residentsnot classified into one of these groups used...
- Q Briefly describe Green's Theorem and the impact it has had onthe field.Explain and apply Green's Theorem to line integrals and doubleintegrals. Identify ways you can utilize and apply Green's Theoremto...
- Q Part 1A: Why is Ï=8cos(φ) a sphere? (greek symbols are rho andphi). What is its center and radius? Algebra and trig will beneeded.  Part 1B: Given a right circular cone of...
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