Work Sheet Assignment 10 [Bifurcation Analysis]: Let a e R be any real constant. Consider linear 2D system of ODES (t > 0) - - (: :)- Il = (a) Discuss in detail the characterization of the origin and its asymptotic stability in terms of spiral, center or node depending on constant a € R.

Q: Find the inverse of the following matrices: 1 -2 1 -2 1 -3 1 4 4 -7 3 2 -3 4 -2 -4

A:

Q: 5. Prove or disprove each of the following formulas or assertions: b) (A - B)' = B' – A'. %3D f) P(A...

A: Take R.H.S: B'-A' Let us assume there exists x such that,  x∈B'-A'⇒x∈B' and x∉A'⇒x∉B and x∈A⇒x∈A-B⇒B...

Q: What is the answer

A:

Q: Let E be the region bounded by the plane z = 1 - x, the part of the parabolic cylinder y = x2 where ...

A: given, a plane z=1-x parabolic cylinder y=x2 where x≥0, and the coordinate planes y=0 and z=0  

Q: find and simplify the derivative of the following function.

A: The given function is h(x)=xexx+1. Product rule: uv'=u'v+v'u Quotient rule: uv'=vu'-uv'v2

Q: Please only solve 8. Number question

A: 8. Consider the augmented matrix 1-49001700020. Compare this augmented matrix with the form A B  cor...

Q: Please solve the screenshot and explain how you get the global max/min (in general). Thanks!

A: Given,  fx1,x2,x3=x12+3x22-3x1x2+4x2x3+6x32 We will find its 1st partial derivatives,  fx1=2x1-3x2fx...

Q: Consider K4 as drawn and labeled below: Since this graph is simple, we can specify a walk by listing...

A: first list the 3 - cycle  1.     1-2-3-1 . It can be written as 1231 2.     1-3-41. It can be writte...

Q: Use a systematic list: Back in 1990 I wrote the date 3/30/90 and noticed that the month times the da...

A: In the decade 90's following year would fall: 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998

Q: You are given a technology matrix A and an external demand vector D. Find the corresponding producti...

A: Concept: We have to find Production vector X with the help of  technology matrix A and demond vector...

Q: Solve the following Differential Equation: (1-(3/y)+x)(dy/dx)+y=3/x-1

A:

Q: If the equation Ax = 0 has only the trivial solution, then A is row equivalent to the n x n identity...

A: We will answer the first question since we only answer one question at a time. Please submit the oth...

Q: Example: A tank initially contains 800 gallons of fresh water. Water containing 1/2 lb/gal of salt f...

A: Given: A tank initially contains 800 gallons of freshwater. Water containing 1/2 lb/gal of salt flow...

Q: I need help in setting up Problem #23 into excel. I am unsure of how to find the max Volume. I am ha...

A: We must decide how much of cargoes A, B, and C must be put in various compartments. Assumptions: We...

Q: 5.4q7

A: Let the number of Acers for tomatoes = x1   Number of Acers for lettuce = x2   Number of Acers for c...

Q: Can you help with question 3 in the picture?

A:

Q: I need help with this

A: According to the given information it is required to find the rotation that would take the left hand...

Q: find the inverse of a function  f(x) = x^2 + 2x – 3

A:

Q: Use the limit theorems to compute the following limits. [Do not use the definition of limit to do th...

A:

Q: What does Peanos EU theorem guarantee for the IVP:  dy/dt = -t/y ,  IC: (to,0)

A: Peanos theorem: "Consider the initial value problem y1= f(t,y), y(t0)=y0. Let f: Domain f →Rn. Then ...

Q: 6. Let G = [0, 2] and 1 g(x) -r + 4). 4 3 3 Use the contraction mapping theorem to prove that if ro ...

A: given G=0,2 and  gx=13x33-x2-54x+4

Q: Advanced Math Question

A: Solve, as follows: tdydt+6y=t2-t+1dydt+6yt=--t2+t-1tμt=e∫6tdt=t6t6dydt+6t5y=-t5-t2+t-1t6dydt+ddt6t5y...

Q: 4. a) Find (123, 456) and find integers x and y such that 123x + 456y = (123,456).

A:

Q: The regular adult admission price to an evening performance at a cinema is Php 140.00, with the pric...

A: From the given information, it is observed that in the evening performance at a Cinema, the admissio...

Q: Give an example of each of the following, or indicate that no such example example exists by writing...

A:

Q: Find the inverse of 75 in (U1024, ®,1).

A:

Q: Suppose we know that 1.8 0.4 0.2 (I – A)–1 = 0.6 1.1 0.3 0.3 1.6 For each of the following, assume t...

A: To solve given system we can use formula-

Q: A= { x, y, z } FS = {finite sequences using letters x, y, z } , such as xxyxyzz %3D IS = {infinite s...

A: Here, A={x,y,z} FS= xxyxyzz IS=xxyxyzzxyz

Q: Can you help with question 2 in the picture.

A: First we have to find integrating factor for given differential equation and with the help of integr...

Q: Let f(x) = |2 + 6x|| Then for æ < – , f'(æ) =| The left-hand derivative of f(x

A:

Q: §3.6, Exercise 1. Let A be an m × n matrix. Show that the matrix AAt is symmetric.

A: For a matrix X to be symmetric, Xt=X.   Here, A is a m×n matrix, suppose At is its transpose. Claim:...

Q: Please solve the screenshot &amp; explain the steps. Thanks!

A:

Q: Suppose that it snows in Greenland an average of once every 21 days, and when it does, glaciers have...

A: Let S be the event that it is snowing. The chance of snowing is  once in 21 days . Therefore, P(S)=1...

Q: What does Peano's  EU Theorem 6.1 guarantee for the IVP dy/dt = -t/y,  IC(t_o, 0)   only one...

A: Peano's theorem: Let f: Dom f→Rn be defined in a neighborhood of (t0, y0). Consider the initial valu...

Q: Example: Apply Euler's method to the initial value problem y' = t + y+2, y(0) = 1. Approximate y(0.2...

A:

Q: Question 11 from Applied Combinatorics Section 1.3 (a) Show that if a circuit in a planar graph encl...

A: Consider the regions inside H, of degrees r1, r2,..., rk. Each of the ri is even by hypothesis. Let ...

Q: Every summer, the city of Rehoboth Beach hires temporary lifeguards to monitor the swimming areas wi...

A: Let p q, r, s, t, u, v be the decision variables.  p→Number of lifeguards scheduled to start working...

Q: Evaluate the integral.   7 1    (ln(x))2  / x3 dx

A: The given integral is, ∫17lnx2x3dx

Q: I want 5th ques answer.

A:

Q: According to a study, 33% of experienced file-sharers with broadband access had decreased their spen...

A: According to a study, 33% of experienced file-sharers with broadband access had decreased their spen...

Q: Advanced Math Question

A:  

Q: (a) 2(cos +i sin 플) (b) 3(cos + i sin E)

A: Solve for part (a), as follows: 2cosπ8+isinπ8=2122+2+i.122-2=2+2+i2-2=1.847759+0.765366i

Q: Three people get on an elevator in a large office building. Robert rides it -6 floors. • Jane rides ...

A: Given that Robert rides the elevator -6 floors, Jane rides the elevator 5 floors and Terrell rides t...