Advance Math question and answers for September 10, 2023
- Q At time t = 0 a tank contains 25lb of salt dissolved in 100gallons of water. assume that water containing 2lb salt/gallonenters the tank at a rate of 5 gal/min...
- Q There are eight different kittens at a store. I have threedifferent children - how many ways are there to give each child adifferent kitten?
- Q Harvesting Fish. A fish farmer has 5000 catfishin a pond. The number of catfish increases by 8% per month and thefarmer harvests 420 catfish per month.a) (4 points) Find a...
- Q 3. To begin a proof by contradiction for “If n is even then n+1is odd,” what would you “assume true?4. Prove that the following is not true byfinding a counterexample.“The...
- Q Show that |N| = |Z|, where N is the set of natural numbers and Zis the set of all integers.
- Q A mass of 8 kg stretches a spring 16 cm. The mass is acted on byan external force of 7sin?(t/4)N and moves in a medium that impartsa viscous force of...
- Q A house can be purchased for?$155 comma 000155,000?,and you have?$25 comma 00025,000cash for a down payment. You are considering the following twofinancing? options:bullet•Option? 1. Getting a new standard mortgage with...
- Q True or False. If true, quote a relevant theorem or reason, orgive a proof. If false, give a counterexample or otherjustification.The set of irrationals in the interval (0, 1) is...
- Q 1.Prove that{2k+1:k?N}?{2k2 :k?N}=?.2.Give two examples of ordered sets where the meaning of ” ? ”is not the same as the one used with the set of real numbers R.
- Q Find thesidue of :1- (Z2) /(Z2+i)3(Z2-i)22-(Z3-2Z4) /(Z+4)2(Z2+4)2
- Q Find a path that traces the circle in the plane y=0 with radiusr=2 and center (2,0,?2) with constant speed 12.r1(s)=? , , ?Find a vector function that represents the curve...
- Q An oil company operates two refineries in a certain city.Refinery I has an output of 200, 100, and 100 barrels of low-,medium-, and high-grade oil per day, respectively. Refinery II...
- Q 2. Island Water Sports is a businessthat provides rental equipment and instruction for a variety ofwater sports in a resort town. On one particular morning, adecision must be made of...
- Q Give a vector parametric equation for the line that passesthrough the point (2,0,5), parallel to the line parametrized by?t?3,t?3,?3?3t?:Find the simplest vector parametric expression r? (t) for theline that passes...
- Q 1. Let X and Y be non-linear spaces and T : X -->Y. Provethat if T is One-to-one then T-1 existon R(T) and T-1 : R(T) à X is also...
- Q A construction firm is considering buying a backhoe, since itpays $50/h to rent one, and it needs to use a backhoe for 150 hoursper month. Assuming a backhoe lasts 5...
- Q A 15-pound weight that is attached to a spring exhibits simpleharmonic motion.a) Determine the equation of motion if the spring constant is28lb/ft and if the weight is released 2 feet...
- Q Bob? Carlton's golf camp estimates the following workforcerequirements for its services over the next two? years: Quarter 1 23 4 5 6 7 8 Demand? (hrs) 4,200 6,400 3,100 5,000...
- Q Find the general solution1.(1+x2) (d2y/dx2) + x (dy/dx)+ ax = 02. ?(d?/d?) –2/? (d?/d?) = 03.(dy/dx)2 -4x (dy/dx) +6y = 04.y(d2y/dx2) + (dy/dx)2 =(dy/dx)5.Solve simultaneously:(dx/dt) + (dy/dt) + y –x...
- Q Let (G,+) be an abelian group and U a subgroup of G. Prove thatG is the direct product of U and V (where V a subgroup of G) ifonly if...
- Q Let R be a UFD and let F be a field offractions for R. If f(?) = 0, wheref ? R [x] is monic and ? ?F, show that ?...
- Q Boise Lumber has decided to enter the lucrative prefabricatedhousing business. Initially, it plans to offer three models:standard, deluxe, and luxury. Each house is prefabricated andpartially assembled in the factory, and...
- Q The? input-output matrix for a simplified economy with justthree sectors? (agriculture, manufacturing, and? households) isgiven below.??????? ? Agriculture Manufacturing HouseholdsAgricultureManufacturingHouseholds0.290.440.1050.120.110.1150.763.530.123A.??How many units from each sector does the agriculture sectorrequire to...
- Q Suppose that a decision-maker’s preferences over the set A={a,b, c} are represented by the payoff function u for which u(a) = 0,u(b) = 1, and u(c) = 4.(a) Are they...
- Q Previously, we listed all 29 topologies on the set X={a,b,c}.However, some of the resulting topological spaces are homeomorphic.Which are homeomorphic? Divide the set of 29 topological spacesinto homeomorphism classes, and...
- Q Let G = Z4 × Z4, H = ?([2]4, [3]4)?.(a) Find a,b,c,d?G so that G is the disjoint union of the 4cosets a+H,b+H, c + H, d + H. List...
- Q please solve it step by step12. Find the angle they form:a) The correct ?1: ? = ?1 + 2?, ? = ??, ? = 2 + 4? and?2: ? =...
- Q Let u and v be orthogonal vectors in R3 and let w = 3u + 6v.Suppose that ||u|| = 5 and ||v|| = 4. Find the cosine of the anglebetween...
- Q UseTheon's double sequence (Xn and Yn) method to find the first 10rational approximations to square root of 11. You may use acomputer program
- Q A topological space X is zero ? dimensional if it has a basis Bconsisting of open sets which are simultaneously closed. (a) Provethat the set C = {0, 1}N with...
- Q Suppose when searching for a large prime, our first step is tosieve by eliminating the first n primes. How large should n be tospeed up our search by a factor...
- Q Are the following statements true or false?1. Let P(n) be the statement "If any string of length n over {a,b} has more a's than b's, then it has two a's...
- Q 2. An industrial sewing machine uses ball bearings that aretargeted to have a diameter of 0.75 inches. The lower and upperspecification limits under which the ball bearings can operateproperly are...
- Q We can write 13 as a sum of distinct powers of 2: 13 = 8+4+1 = 23 +2 2 +2 0 .• Using strong induction, show every integer can be...
- Q For each of the questions below, write a paragraph using anoutside source. Be sure to include a reference of your outsidesource.Give a short biography of Alan Turing. In your own...
- Q A dietician is planning a snack package of fruit and nuts. Eachounce of fruit will supply zero units of protein,3 units ofcarbohydrates, and 2 units of fat, and will contain...
- Q Let p be a prime and d a divisor of p-1. show that the d thpowers form a subgroup of U(Z/pZ) of order (p-1)/d. Calculate thissubgroup for p=11, d=5; p=17,d=4...
- Q Please show that answer step by step and explain clearly,thx!!!!5. Does the accuracy of a kNN classifier using the Euclideandistance change if you (a) translate the data(b) scale the data...
- Q Prove: If A is an uncountable set, then it has both uncountableand countably infinite subsets.
- Q let D be an integral domain. prove that an element of D[x] isa unit if an only if it is a unit in D.
- Q 3. Dictator and Ultimatum Games with Fehr-Schmidt Preferences.Now let the two utility functions be given by,UA = xA ? .6 max(xB ?xA, 0) ? ?A max(xA ?xB, 0),UB = xB...
- Q Answer all parts of question 1.1a.) Find the limits, as t approaches both positive infinity andnegative infinity, of the solution ?(t) of the ivp x' =(x+2)(1-x^4), x(0) = 01b.) Find...
- Q 1. When solving for the reactions at the supports of a truss,what equations do you use?2. When solving for the forces in a member of a truss, how doyou know...
- Q use the normal distribution of SAT critical reading scores forwhich the mean is 504 and the standard deviation is 120 assume thevariable is normally distributed what percent of the sat...
- Q §Radiant Transportation company provides two types ofboats –Boat A and Boat B. Each Boat A can carry 15 passengers, 10vehicles, and 40 tons of goods. On the other hand, Each...
- Q 2. Let x be a real number, and consider the deleted neighborhoodN?(x;?).(a) Show that every element of N?(x;?) is an interiorpoint.(b) Determine the boundary of N?(x;?) and prove your answer...
- Q 1) Use MATLAB to solve this differential equation. ??/?? = .25?(1 ? ?/4 ) - a2) Use MATLAB to graph solution curves to this system withseveral different initial values. Be...
- Q Describe how to find thecomplement and supplement of an angle.Explain how to find themeasure of the third angle in a triangle if you know the measuresof the other two angles.Explain...
- Q solve using both methods (Dsolve and ODE45 on matlab) pleaseprovide steps1) y'+y=e^x2) y'+2y= 2 sin(x)
- Q Let R be a ring and n ? N. Let S = Mn(R) be the ring of n × nmatrices with entries in R.a) i) Let T be the subset...
- Q Prove Descartes' circle theorem. (using trig)
- Q if the involute is known show how to find the evolute?
- Q Prove via induction the following properties of Pascal’sTriangle:•P(n,2)=(n(n-1))/2• P(n+m+1,n) = P(n+m,n)+P(n+m?1,n?1)+P(n+m?2,n?2)+···+P(m,0) forall m ? 0
- Q Theoremtwo curves with the same intrinsic equation are necessarycongruentI need prove this theorem with details and thanks
- Q Solve by variation of parameters:A. y"?9y = 1/(1 ? e^(3t))B. y" +2y'+26y = e^-t/sin(5t)
- Q Let P = (p1,...,pn) be a permutation of [n]. We say anumber i is a fixed point of p, if pi = i.(a) Determine the number of permutations of [6]...
- Q y'' - 8y = 4, y(1) = 9, y'(0) = 5
- Q 3) If you have a 40% probability of winning at a game ofroulette, how many games can you expect to win after playing 30games?4) Calculate the variance of the problem...
- Q Find the general solution to the equation??+4?=1
- Q this is abstract algebraLet M be a Q[x]-module which is ?nite-dimensional as a vectorspace. What is its torsion submodule?
- Q give an example to show it is false or argue why it is true.?!xP(x)??xP(x)?xP(x)??!xP(x)?!x¬P(x)?¬?xP(x)
- Q using the method of Characteristics, Explain the Process forsolving the General Advection Equation
- Q Ifa function assigns 0 or 1 to each switching function of nvariables, how many such functions are there?
- Q Oneparagraph each:Give a short biography of Bertrand RussellIn your own words, what is Russell's Paradox?Please include a reference to your outside source.
- Q this is abstract algebraLet M be a Q[x]-module which is ?nite-dimensional as a vectorspace. What is its torsion submodule?
- Q Find the kernel (or nullspace) and the image of each linear maptogether with their basis.(a) T :R4 ?R3 given by f(x,y,z,w)=(3x+y?3z+3w , x+y+z+w ,2x+y?z+2w)(b) T :R3 ?R5 given by f(x,y,z)=(2x?y+6z...
- Q Captain John’s Yachts, Inc., located in Fort Lauderdale,Florida, rents three types of ocean-going boats: sailboats, cabincruisers, and Captain John’s favorite, the luxury yachts. CaptainJohn advertises his boats with his famous...
- Q Industrial design has been awarded a contract todesign a label for a new wine produced by Lake View Winery.Thecompany estimates that150 hours will be required to complete theproject.The firm's three...
- Q I am having the most trouble with 1d:1. a. Prove that if f : A ? B, g : B ? C, and g ?f : A ? C is...
- Q differential equation y'=dy/dx = -(3xey+2y)/ (x2ey+x). find thesolution
- Q Let R and S be rings. Denote the operations in R as+R and ·R and the operations in S as+S and ·S(i) Prove that the cartesian product R × S...
- Q Suppose that a process at Manuel Automation with a normallydistributed output has a mean of 50.0 cm and a variance of 3.61 cm.a. If the specifications are 51.0 ± 3.75...
- Q Use Simpson's Rule with n = 10 to approximate the areaof the surface obtained by rotating the curve about thex-axis. Compare your answer with the value of the integralproduced by...
- Q Solve y'' + 16y = 7cos(4t) using variation of parameters. Thensolve using Laplace transformations given y(0) = 1 and y'(0) =2
- Q I'm having trouble figuring out the constraints to this problem.I know that I am maximizing 55x + 45y, however the variables arethrowing me off. I only need help on question...
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