Advance Math question and answers for August 16, 2023
- Q Solve the following problems using the two phasemethod:max 3x1 + x2S.t. x1 ? x2 ? ?1?x1 ? x2 ? ?32x1 + x2 ? 4x1, x2 ? 0Please show all steps
- Q Find the zeroes and their order for the following. (Use Taylorseries or derivatives)sin(z)
- Q A 2 liter tank of water contains 3 grams of salt at time t = 0(in minutes). Brine with concentration 3t grams of salt per literat time t is added...
- Q Prove whether or not the set S is countablea. S= {irrationals}b. S= {terminating decimals}c. S= [0, .001)d. S= Q(rationals) x Q(rationals)e. S= R(real numbers) x Z(integers)
- Q Let f : N ? N and g : N ? N be the functions defined as ?k ? Nf(k) = 2k and g(k) = (k/2 if k is even,...
- Q A stock's price follows a lognormal model. You are given:(i) The current price of the stock is 105.(ii) The probability that the stock's price will be less than 98at the...
- Q Recall that in class we defined, for any set A, P(A) := {B : B ?A}, which we called the power set of A.a) (10) Show that, if a set...
- Q Prove (for example, by calculating each side)(a) Q[ ? 2, cube root(2)] : Q = [Q[ ? 2] : Q] · [Q[ cuberoot(2)] : Q](b) Q[ ? 2, fourth root...
- Q 1. Use backward substitution to solve:x=8 (mod 11)x=3 (mod 19)2. Fine the subgroup of Z24 (the operation is addition) generates by the element 20.3. Find the order of the element...
- Q Direct product of groups: Let (G, ?G) and (H,?H) be groups, with identity elements eG andeH, respectively. Let g be any element of G, and h anyelement of H. (a)...
- Q The population of a community is known to increase at a rateproportional to the number of people present at time t.The initial population P0 has doubledin 5 years.Suppose it is...
- Q solve the following LP. Formulate and algebraically solve theproblem. Show all steps.what is the new optimal z valuemax z=65x1+35x2+20x38x1+6x2+x3<=484x1+2x2+1.5x3<=202x1+1x2+0.5x3<=8x2<=5x1,x2,x3>=0interpret the meaning of the shadow prices
- Q Determine the root off (x) = 10.5X² - 1.5X - 5by using Newton Raphson method with x0 = 0 and perform theiterations until ?a < 1.00%.Compute ?t for each approximation...
- Q Let (xn), (yn) be bounded sequences.a) Prove that lim inf xn + lim inf yn ?lim inf(xn + yn) ? lim sup(xn +yn) ? lim sup xn + lim sup...
- Q If V = U ? U? and V = W ? W?, and ifS1: U ? W and S2: U? ?W? are isometries, then the linear operator defined foru1 ?...
- Q What is the optimal number to order to maximizeJoseph's expected profit and what is the expected profit on thefollowing?Joseph must order each year's calendar in August fordelivery and eventual sale...
- Q lets say you are intetested in how levels of trade forcountries influence economic growth. How would you structure thedataset to analyze this relationship
- Q Concepts: Transformations of functions and findingintercepts.HMS Nautical Inc.2200 Seaview Blvd.North Shore, Hi 09231Math ClassDeVry University122nd and PecosWestminster, CO 80241Dear Students:I have recently been employed by HMS Nautical Inc to work...
- Q Suppose 400 balls are distributed into 200 boxes in such a waythat no box contains more than 200 balls and each box has at leastone ball. Then there are some...
- Q 7. Prove that congruence modulo 10 is an equivalence relation onthe set of integers. What do the equivalence classes look like?
- Q Find the eigenvalues and eigenvectors of the given matrix.((0.6 0.1 0.2),(0.4 0.1 0.4), (0 0.8 0.4))
- Q Q/Amanufacturer of outdoor clothing makes wax jackets and trousers.Each jacket requires 1 hour to make, whereas each pair of trouserstakes 40 minutes. The materials for a jacket cost $32 and...
- Q A typical long-playing phonograph record (once known as an LP)plays for about 2424 minutes at 33133313 revolutions per minutewhile a needle traces the long groove that spirals slowly intowards the...
- Q If V (dimension k-1) is a subspace of W (dimension K),and V has an orthonormal basis {v1,v2.....vk-1}. Work out aorthonormal basis of W in terms of that of V and...
- Q Differential EquationsSolve for the IVPty3 dt - ( t4 + y4 ) dy = 0y (1) = 2
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