Advance Math question and answers for August 21, 2023
- Q 1. Show that 11,111,111 and 3,333,333 are relatively prime using the Extended Euclidean Algorithm.2. Use the EEA to find the GCD of 6,327 and 10,101.3. Find the additive inverse of...
- Q Match the following:Let X = {1,2,3,4}, Classify the relations of X on X___ {(1,4),(1,2)}___{ (1,4),(4,1),(2,3) }___{ (1,4),(4,4),(2,3),(3,3)}___{ (1,1),(4,4),(2,2),(3,3) }a. Is a functionb. Is a relationc. Is transitived. Is a relation...
- Q Suppose that a given population can be divided into two parts:those who have a given disease and can infect others, and those whodo not have it but are susceptible. Let...
- Q Discreet Math Question:Suppose you have 100 students in school. Principal wants to takephotos in different ways so that every student thinks they havebeen treated fairly.1.She wants to divide 100 students...
- Q Let S be the set of all codes over Fq of length n.LetC1, C2?S.DefineC1?C2to mean that there exists an n×n monomial matrix Msuch that C1=M C2.Probe that?is an equivalence relation...
- Q 1.) How many relations are there from a set of size n to a setof size m?2.) Determine the number of entries in the followingsequences:a.) {13, 19, 25, . ....
- Q V is a subspace of inner-product space R3, generatedby vectoru =[1 1 2]T and v=[ 2 2 3]T.T is transpose(1) Find its orthogonal complement space V? ;(2) Find the dimension...
- Q Q1. The following table shows the quantity supplied and quantitydemanded of a commodity at certain unit prices.Unit Price$1.501150340Quantity Demanded$2.75712.5652.5Quantity Supplied$3.25537.5777.5a. From the information given in the table above, describe inyour...
- Q every analytic function is locally 1-1 whenever its derivative isnonzero): Let ?????Cbe open, and let ?:???f:??Cbe 1-1 and analytic on ? Then??(?0)?0f?(z0)?0for every ?0??z0??.by contray suppose f'(z)=0
- Q use laplace to answery"-3y'+2y=1+cost+e^-t,y(0)=1,y'(0)=0
- Q Solve the initial value problem:y'' + y = cos(x)y(0) = 2y'(0) = -3y' being the first derivative of y(x), y'' being the secondderivative, etc.
- Q Consider a sample with data values of 27, 25, 20, 15, 30, 34,28, and 25. Compute the 19th, 24th, 60th, and 70th percentiles.If needed, round your answers to two decimal...
- Q collect data exhibiting a relatively linear trend, find the line ofbest fit, plot the data and the line, interpret the slope, and usethe linear equation to make a prediction. Also...
- Q Prove the following statement:Suppose it's your turn and the Nim sum of the number of coins inthe heaps is equal to 0. Then whatever you do, the Nim sum of...
- Q give an example of a real situation that answers the concept function
- Q Let {xn} be a real summable sequence with xn ? 0 eventually.Prove that ?(Xn*Xn+1) is summable.
- Q That is, PDEs of the general form A(x, y, u) ?u(x, y) ?x + B(x,y, u) ?u(x, y) ?y = C(x, y, u), (1) for some A, B and C....
- Q Let K be a cone with a circular bottom, that has a radius r, andthe apex is directly above the center of the bottom. Let hrepresent the height of the...
- Q give a constructive proof of fn = Q^n + P^n/ Q - P ,where Q is the positive rootand P is negative root of x^2 - x - 1= 0fn...
- Q A tank contains 2800 L of pure water. A solution that contains001 kg of sugar per liter enters a tank at the rate 9 L/min Thesolution is mixed and drains...
- Q Prove or disprove if B is a proper subset of A andthere is a bijection from A to B then A is infinite
- Q How many positive integers less than 1,000,000 have exactly onedigitthat is 7 and the product of this digit (7) with the sum ofother digits isbetween 50 and 65?
- Q A professor wants to determine if there is a difference betweenstudents' pre and post test after a semester of learning.1. What could be the research question for this problem?2. What...
- Q B= {1,x,x^2}B’={1-x^2, x-x^2, 1+2x-x^2}T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2a) by direct calculation , compute [P]_B’ , p=7-x+2x^2b) using basis B={1,x,x^2} , compute [T]_Bc_ compute [T]_B’
- Q T(1+2x)=1+x-x^2T(1-x^2)=2-xT(1-2x+x^2)=3x-2x^2a)compute T(-6x+3x^2)b) find basis for N(T), null space of Tc) compute rank of T and find basis of R(T)
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