Advance Math question and answers for August 13, 2023
- Q Prove or disprove. (If a proof seems difficult to finish, atleast tell what you tried, or how far you got, or what seems tomake the proof difficult.) (a) If a...
- Q For any two real sequences {an} and {bn}, prove that Rudin’s Ex.5 We assume that the right hand side is defined, that is, not ofthe form ? ? ? or...
- Q (A) Prove division with remainder makes sense for integers aswell as natural numbers. In other words prove the following.Proposition: Let d be a nonzero integer. For any integer n,there exist...
- Q Prove that each element in Pentagon D5 has a unique inverseunder the binary operation.D5={AF, BF, CF, DF, EF,0,72,144,216,288}
- Q The cost of controlling emissions at a firm goes up rapidly asthe amount of emissions reduced goes up. Here is a possible model:C(x, y) = 1,000 + 200x2 + 200y2...
- Q If C is the part of the circle (x2)2+(y2)2=1(x2)2+(y2)2=1 in thefirst quadrant, find the following line integral with respect toarc length.?C(8x?6y)ds
- Q 1. Find a possible formula for the trigonometric function whosevalues are in the following table.X 0 2 4 6 8 10 12Y 5 1 -3 1 5 1 -3y=?2. A...
- Q 1. Prove that for any graph, the sum the degreesPv?Vdeg(v) is twice the number of edges |E|. (By “prove” I mean write afew sentences explaining why it is true.)2. i) At...
- Q 6- Write a C++ program that determines the amount of memory usedby char, short int, unsigned short int, float, and double types anddisplay the information on the screen. You program...
- Q Where is the function ln(sin x ) defined and continuous?
- Q Find the general solution of the following equations:y?? ?4y? +4y=0; y?? ?5y? +6y=0; y?? ? 2y? = 0
- Q Obtain the general solution of the following equation4Uxx+12Uxy+9Uyy-9U = 9
- Q A solution of hydrochloric acid accidentally leaksinto a spring fed freshwater lake, which in turn feeds a singlestream. the acid leaks into the lake at a rate of 2 gallons...
- Q How do you determine convexity/concavity of a function f(x,y)?How about a function f(x,y,z)?
- Q please do as many as possible2.25:Each point in the plane is randomly assigned one of twocolors, redor green. Show that for any real number l > 0, there existtwopoints on...
- Q PROOFS:1. State the prove The Density Theorem for Rational Numbers2. Prove that irrational numbers are dense in the set of real numbers3. Prove that rational numbers are countable4. Prove that...
- Q You have entered a model rocket contest with yourfriend, Tiffany. You have been working on a pressurized rocketfilled with nitrous oxide. Tiffany has determined the minimumatmospheric pressure at which the...
- Q Euler’s Method Let’s get our hands dirty and actually useEuler’s method to estimate the value of y(2) where y is thesolution to the initial value problemy?=y?2x y(0)= 1Recall that Euler’s method...
- Q Prove that the union of infinitely many countable sets iscountable.
- Q y'' + 16y = (8)(cos(4t)) y(0)=y'(0)= 0Use Laplace Transforms to solve. Sketch the solution or usematlab to show the graph.
- Q 1. Let g(s) = ? s. Find a simple function f so that f(g(s)) = 0.Hint: see Methods of computing square roots on Wikipedia. UseNewton’s method to estimate ? 2....
- Q Find a base of solutions. Try to identify the series asexpansions of known functions. ( show details of your work)xy''+2y'+xy=0 INTENTIONALLY+XY
- Q Develop a LP problem with at least 7 constraints (including twointeger variables) to solve it using any solver.wehave to create a problem. any problem should be fine. please takeany problem.
- Q give an example of the divergence theorem and the greenstheorem
- Q Big Chill, Inc. sells portable dehumidifier units at the currentprice of $183. Unit variable costs are $75. Fixed costs, made upprimarily of salaries, rent, insurance and advertising, are$4,018,000. Calculate breakeven...
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