2. By linearisation show that the solution tion 0 = 0 is stable; at least, show that it is not unstable. is unstable, while the solu-

Q: 6. Show that is an open subset of R2. R² - Z²

A:

Q: Pls pls solve this question correctly in 5 min pls I will give u like for sure R(x)=(−1/30)x2+200x…

A: Given: Rx=-130x2+200xTo find: The price function.

Q: Consider the second-order differential equation:  (d2x/dt2) + x (dx/dt) = sin x.  which option…

A:

Q: (b) Determine x, and x₂ in terms of E. X1 X2

A: (b) x1=8-ε

Q: Consider the four lists of characteristics. Select the one list for which a tree can be created that…

A: We know, for a binary tree with height n,         Number of vertices ≤ 2n+1 - 1         Number of…

Q: Reflect the following shape over line y = x.

A: We have to find the reflection of the following figure about y=x

Q: Consider applying the method of separation of variables with u (x,t) = X (x) T (t) to the partial…

A:

Q: Consider the function f(t) = t³ – £² for — ≤ t ≤. Select the option that could be the Fourier series…

A: ft=t3-t2 for -π≤t≤π The periodic extension of f is 2π A0 is non-zero At least one of the constants…

Q: Given the information, produce a graph of the function on the grid provided. x-intercept: 4…

A: Given that the function has properties, x-intercept: 4, y-intercept: -4 Vertical asymptotes x=2,…

Q: (b) For the matrix Determine: the characteristic equation the characteristic roots. the…

A:

Q: Differential equations. Autonomous systems and stability Identify the equilibrium points and their…

A:

Q: applied discreet maths; please proof if the statement is true or false    A-B = A' n B  A' means…

A: The statement is false.  Suppose  x  is in A-B, that means x is in A but not in B. Now,  x is in A…

Q: Problem 5. Given function and the solid region E illustrated below X f(x, y, z) = xy r² + y² +2²= 8…

A: The equation of sphere is x2+y2+z2=8. The equation of cone is z=x2+y2. We have to express the triple…

Q: Exercise 14. Let G₁ and G₂ be a groups. Then the set G₁ X G₂ is a group with the following binary…

A:

Q: 9. Stan is late on his car payment. The finance company charges 3% interest per month it is late.…

A:

Q: ind all positive integers n that is a product of two distinct primes such that o(n) = 60.

A:

Q: a. The necessary and sufficient conditions for a non- empty subset W of V(F) to be a subspace are…

A: (a)Suppose W is a subspace of a vector space V(F). Then if β∈W⇒-β∈W∴ α∈W, -β∈W⇒α+(-β)∈W     (∵ W is…

Q: If a and y are positive real numbers, which of the following conditions guarantees that the infinite…

A:

Q: Let m and n be positive integers such that (m, n) = 1. Prove that if m and n are both perfect, then…

A: To prove that mn is 4-perfect, we need to show that the sum of the divisors of mn (excluding mn…

Q: Consider the matrix # = A I write a quadratic form Q(x) = x² Ax, and determine whether the Q(x) is…

A: (1)                                              Given matrix is  A = 1224              The…

Q: Consider the following graph. • V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4, e5}, E(G) = {(e1,…

A:

Q: Is this F(z) : Continuous from the orgin? Re (ez) { O z+0 Z=0

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: h. h. i. k. 1. In the cube group the move (U L-1, has order 63. Z63 is a cyclic group of order 63.…

A: a. False. The order of a move in the cube group is always a factor of 6, since there are only 6…

Q: Use the Laplace transform to solve the given initial-value problem. y' - 3y = 8(t - 4), y(0) = 0…

A:

Q: W=LP₁ (KIC) = PL¹/²₁ 9 = Qin/2, N = 2 E' 7 √F

A: Since you have posted multiple questions, so we will solve only the first question for you. Kindly…

Q: Choose the property of addition that j (6+a)+5=6+(a+5)

A: The given addition 6+a+5=6+a+5. We have to find the property of addition that represents the given…

Q: Q3. Write a computer program to solve the following a system of linear equations 3 -2 5 4 7 2 -1 0…

A: Ans-To solve this system of linear equations using the Successive Over-Relaxation Method with a…

Q: y = c₁ cos(3x) + C₂ sin(3x) is a two-parameter family of solutions of the second-order DE y" +9y= 0.…

A:

Q: Consider a 3-dimensional radial vector field F(r) = r p3 1 p2 er, where ||r|| = √√√x² + y² + z². r =…

A: The given vector field is Fr=rr3=1r2er where r=r=x2+y2+z2 . Suppose the radius of the sphere is R…

Q: Assume that h: [a, 6²] → R is a continuous function and let G: [a, b] → R denote the following…

A:

Q: Let A and B be 6 by 6 matrices. Select all true statements below. A. If A and B have precisely the…

A:

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: Given, p=400-0.1xC(x)=20,000+140x

Q: 15. The production q (in units) of a certain good in terms of the amount q of labour invested and…

A: qL,qC are the amount of labor and capital invested and q is the production in units of a certain…

Q: If a sequence C₁, C2, C3,... has limit K then the sequence e limit of the sequence given by b₁ = (n)…

A:

Q: If 1200cm² of material is available to make a box with square base and an open top, find the largest…

A: Given: 1200 cm2 of material is available to make a box with square base and open top.To find: The…

Q: dont believe this is correct

A: Ans-

Q: Expand the following periodic function into a Fourier series. 1 for -2T ≤ 0 for - M for 0 < ㅠ -2 T…

A: The given function is: fx=1if -2π≤x&lt;-π0if -π≤x&lt;0π-xif 0≤x&lt;πx-πif π≤x&lt;2π We know that the…

Q: Problem statement Suppose that you are designing a silo bin to store grain kernels. The construction…

A: The aim is to minimize the total cost of the silo with given constraints. The construction cost for…

Q: ve that the only perfect number of the form n = p²q where p and q are distinct primes is 28.

A:

Q: The graph of f(x) is shown (see figure). 3x √x² +7 f(x) (a) Find the following limits. L= lim f(x) =…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question.…

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy³ + xy = 2 at…

A: The given curve has the equation          xy3 + xy = 2   . . . . . . . . . (1)    Differentiating…

Q: Solve the equation Ax = b by using the LU factorization given for A. 1 00 2-4 4 A = 1 -3 11 3-5 6 ||…

A: Given: A=2-441-3113-56=100121032-112-440-19009, b=0-110 We have to solve the system Ly=b and Ux=y.

Q: Find the work done by F over the curve in the directio F = 2xyi + 3yj - 3yzk r(t) = ti +ti+tk. 0…

A: As per the guidelines I am answering only one question. Formula for work done is  W=∫abF.r(t)dt…

Q: Problem 4. Give an example of a geometric simplicial complex in R² whose geometric realization is a…

A: One example of a geometric simplicial complex in R2 whose geometric realization is a 2-simplex is…

Q: Consider the vector field F(x,y,z) = (3x²y)i + (x³ + 1) + (92²) and the curve C made up of the…

A:

Q: The set ZUZU {0} is equal to: a) 이이이이이 b) NRQNN None of these. 3. True or false? For any set A, ØCA.…

A:

Q: 24. In this question, we investigate the graph (in three-dimensional space) of equations of the form…

A:

Q: Solve the system by Guassian-Jordan 2x₁+5x₂+2x3=4, X₁+2x₂+2x3=1, reduction method 3x₁+8x₂+2x3=8

A:

Q: Problem 1. Given the curve Find the following at point P(1,0,0). 1. the unit tangent. 2. the unit…

A: