Can you solve number 2 for me with a graph 9:211 SearchSystStdlneqs.Algebra 2A.e 2021 Ku ta Se ft are LLCID: 1AII tightreser vedGraphing Systems of InequalitiesPeriodGraph each SystemInequalities.1) x+ y>22x - 3y> 92) x+ y<26x + y2 -34) 2x - y>-33) х- Зуs 3x+3y <-9x- 3y56-1-Madei Iati AIb5) x- 3y<-66) 2x - 3y 532x - 3y 2-95x - 3y 567) x- 3y> -65x - 3y568) x+3y>64x + 3ys-3

Answered: Image /qna-images/answer/0d0a485c-fe09-4f8e-97d1-e7d4973b63a9.jpg

Answered: 2) x+y<2 6x + y2-3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the linear system Ax = b by using Cramer’s rule,givenCarefully explain all steps in your proof.
Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is used to eliminate x rather than y.
Explain the conditions for the origin a node of the system x' = Ax?
Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?
There are two alternative Plans for operating a high-speed inter-city rail service. In Plan I, the service connects city A with city B through city C where the rail makes a stop to load or unload passengers. The rail transportation system is assumed to be perfectly symmetrical with respect to direction of travel. PLAN I The link travel times are 2 hours between each pair of cities in both directions. The time it takes to service the train at each node is 0.5 hours. In the alternative Plan II, the train company considers to stop servicing the smaller city C, in order to provide a better level of service for the users in the city A and city B. PLAN II According to Plan II, the travel time between the major cities A and B in both directions will be reduced to 3.5 hours. The time it takes to service the train in both city A and city B is still 0.5 hours. Q2 (A) Calculate the train-cycle for Plan I and Plan II. Q2 (B) How many trains do you need to operate 12 trains/day uniformly…
7. Use Lagrange multipliers to give an alternate solution. Find two positive numbers whose product is 100 and whose sum is a minimum.
Check that the non-degenerate constraint qualification (NDCQ) are satisfied in example.
There are two alternative Plans for operating a high-speed inter-city rail service. In Plan I, the service connects city A with city B through city C where the rail makes a stop to load or unload passengers. The rail transportation system is assumed to be perfectly symmetrical with respect to direction of travel. The link travel times are 2 hours between each pair of cities in both directions. The time it takes to service the train at each node is 0.5 hours. In the alternative Plan II, the train company considers to stop servicing the smaller city C, in order to provide a better level of service for the users in the city A and city B. According to Plan II, the travel time between the major cities A and B in both directions will be reduced to 3.5 hours. The time it takes to service the train in both city A and city B is still 0.5 hours. Q2 (D) Calculate the travel demand between all pairs of cities for both Plan I and Plan II as well as the corresponding company revenues for all city…
use lagrange multipliers to find the largest and smallest values of -y^2 + 2xy - 2x^2 with constraint of x^2 + y^2 <= 1
A diet is to contain at least 10 ounces of nutrientP, 12 ounces ofRand 20 ounces ofS. These nutrients are to beobtained from foodsA, BandC. Each pound ofAcosts 3 cents and contains Three ounces ofP, Two ounces ofRand Zero ounce ofS. Each pound ofBcosts 6 cents and contains one ounce ofP, Three ounces ofRand Threeounce ofS. Each pound ofCcosts 7 cents and contains Zero ounce ofP, one ounces ofRand five ounce ofS. Howmany pounds of each foods should be purchased if the stated dietary requirements are to be met at minimum cost ?[Do not use SIMPLEX method to solve this problem. Show all of your calculations in detail
18. Is not a consistent system. Must state type of system and give solution set for that type of system. 25. Type of system and solution set 26. Type of system 42. Parralel, perp, or neither?
In this problem, we use weak duality to prove Lemma 3.a Show that Lemma 3 is equivalent to the following:If the dual is feasible, then the primal is bounded. (Hint:Do you remember, from plane geometry, what the contrapositive is?)b Use weak duality to show the validity of the form ofLemma 3 given in part (a). (Hint: If the dual is feasible,then there must be a dual feasible point having aw-value of, say, wo. Now use weak duality to show thatthe primal is bounded.)

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