With problem C 2.2.8. Using the result in Exercise 2.2.5, prove the following results.a) Suppose that 0 ≤ x1 ≤ 1 and xn+1 = 1-√√1- xn for ne N. If xn → x2321083X3as n→∞, then x = 0 or 1.101 asignab) Suppose that x₁ > 3 and xn+1 =2 + √√xn - 2 for ne N. If xnx asn→ ∞, then x = 3.(c)Suppose that x₁ ≥ 0 and xn+1 √2+xn for ne N. If xnx asn → ∞, then x =2. What happens if x₁ > -2?1

Given and for as We have to show that and analyse the behaviour if

Answered: L (c) Suppose that x₁ ≥ 0 and xn+1 =…

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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Problem #3 - S) - PK Inc. manufactures interior and exterior paints from two raw materials, M1 and M2. The following table provides the basic data of the problem: Maximum daily Tons of raw materials per ton of Exterior paint Interior paint availability (tons) Raw material M1 6. 4 24 Raw material M2 1 6. Profit per ton $5,000 $4,000 A market survey indicates that the daily demand for interior paint cannot exceed that for exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. PK Inc. wants to determine the optimum (best) product mix of interior and exterior paints that maximizes the total daily profit. 5) Formulate and explain the mathematical model for this LP problem, including: a. The Objective Function All the constraints that the solution must satisfy, including nonnegativity. s) Solve the LP problem using the graphical method. b.
Problem #1: Strategies for treating hypertensive patients by nonpharmacologie methods are compared by establishing three groups of hypertensive patients who receive the following types of nonpharmacologic therapy: Group 1: Patients receive counseling for weight reduction Group 2: Patients receive counseling for meditation Group 3: Patients receive no counseling at all The reduction in diastolic blood pressure is noted in these patients aftera 1-month period and are given in the table below. Group 1 Group 2 Group 3 4.2 4.8 4.5 12 2.4 0.3 0.9 2.3 2.5 3.4 (a) What are the appropriate null and alternative hypotheses to test whether or not the mean reduction in diastolic blood pressure is the same for the three groups? (b) Find the values of sS(treatment) and SS(error). (c) What conclusion can you draw about the hypothesis test in (a)? Use a = 05 (A) Họ 41+ 42 4 g. H - for all pairs (,) (B) Ho 41 = #2= H. H 4 H, for at least one pair (1.) (C) Họ H1- 42= . Hi Hy # #z # H3 (D) Ho: 41=42=43, H…
An LP solution always provides a lower bound to an IP minimization problem: O True O False W
What are the subject to the constraints?
Problem 3.4 #7: How do you solve?
can you help me find A and B please?
Question 2
Placement Test Practice Problem 25
Suppose there are four cities at locations x1 = 2; x2 = 5; x3 = 9, and x4 = 11, requiring respectively Ni = 6; 2; 3; 7 visits, respectively. Suppose that the cost-per-mile to ship goods is $4 between x1 and x2, but $8 between x2 and x3, and $10 between x3 and x4. What is the cost of keeping the PDC at x = 6? What about at x = 10?
Question 28 A company manufactures two lines of bathtubs, called model A and model B. Every tub requires a certain amount of steel and zinc; the company has available a total of 25,000 pounds of steel and 6,000 pounds of zinc. Each model A bathtub requires a total of 125 pounds of steel and 20 pounds of zinc, and each yields a profit of $90. Each model B bathtub can be sold for a profit of $70; model B requires 100 pounds of steel and 30 pounds of zinc. Additionally, due to a space constraint the company can stock no more than 150 units of tub model A. Determine the binding constraint(s). Steel Space Steel and Zinc Zinc and Space Steel and Space to
Problem 11-22 (Static) The forecast for each week of a four-week schedule is 50 units. The MPS rule is to schedule production if the projected on-hand inventory would be negative without it. Customer orders (committed) are follows Week Customer Order 52 35 Period ATP 20 12 Use a production lot size of 75 units and no beginning inventory. Determine the available-to-promise (ATP) quantities for each period. (Leave no cells blank be certain to enter "0" wherever required.)

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L (c) Suppose that x₁ ≥ 0 and xn+1 = √2+xn for ne N. If xnx as n→ ∞, then x = 2. What happens if x₁ > -2? -