(b) Determine the eigenvalues and eigenvectors of the matrix Hence, write down the associated modal matrix P and diagonal spectrum matrix D, and use these to solve the following system of differential equations *= 4x-2y j=x+y

Q: how that in D4 is not a normal subgroup. Please explain in details and show all the works.

A: To Show, a subgroup in D4 is not normal.

Q: Xị f(X) Af(X}) A²f(X) A³f(X) A*F{X) 0.7787 0.0930 0.05 0.8717 0.0177 0.0064 0.1107 0.0036 0.10…

A: Given that fx=12tanx+1 and also the difference table is given. To find f0.07

Q: Which of the following products of trigonometric functions of different frequencies is equivalent to…

A: This is a problem of identity and counting and frequencies.

Q: 6 On the coordinate plane, AABC is mapped onto AAB'C by a dilation with center (-1, 2) and scale…

A: Graph is shown below.

Q: Obtain the Euler – Lagrange equatiom for the extremals of the functional | X2 |[y2 - yy'+y'2]dx

A: Given functional ∫x1x2y2-yy'+y'2dx

Q: Consider the linear system a. Find the eigenvalues and eigenvectors for the coeffhcient matrix. and…

A: Applications of system of differential equations, eigenvalues eigenvectors

Q: Identify a generating curve on the XZ-plane for the surface of revolution with equation x? + y2 + Z?…

A: Solution-

Q: x1 = x2 - 4x1 + 4x3 4 x = -3x, - V3x1 +7*3 V3x1 +X3 x = 7x2 – 2x1 - Find the eigenvalues and…

A:

Q: Perform the change of variables indicated in the problem to obtain the general solution to the…

A: The general solution of Bessel differential equation x2y''+xy'+x2-ν2y=0 is; When ν is an integer…

Q: 4. Find the temperature in a perfectly insulted bar with c=1, u,(0,t) =u,(T,t)=0 and u(x,0) = 3x

A:

Q: (b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

A:

Q: Q.1 A. It is given that the functions of x, f and g, satisfy the following coupled first order…

A:

Q: Consider the system of differential equations -7y2, +7y1. a. Rewrite this system as a matrix…

A:

Q: A toy factory creates miniature steel train engines and box cars. The fabrication department has…

A: We have to find the number of miniature steel box cars and steel train engines to maximize the…

Q: Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of…

A:

Q: See picture for f(x)  f(x) = 2L periodic extension to f for all other values of x show the…

A:

Q: QUESTION 1 Consider the following LP model and its optimal solution: Maximize: z= 2X1+3X2+ 4X3…

A:

Q: invest interest 2100,000 Me are going Is that an at rate of account 7.5% 4or Rarns 34 S4mon ths…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only so we will answer…

Q: 2x+1 Vx : belongs to the domain 3

A:

Q: T/2 S [costi-sit cos ti – sin 2tj +sin? tk |dt.

A:

Q: use the Power Series Method to solve for the general solution. Express your final answer in sigma…

A:

Q: e?y cos?x dy y? Ln(sinx) dx ニ。

A:

Q: 20. Given the path, • dx + xe'dy determine the line integral using Green's theorem if C,is y = x² +…

A: Consider the given integral ∮Cxydx+xeydy. We have to evaluate the given integral if C1 is y=x2+2…

Q: 3o otherwise Find the Fourier transform of (x if 0 <х<а lo otherwise f(x) =

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

A:

Q: a. Find the percentages of votes cast for Republican and Democratic House candidates in 2010 and…

A: Note: We are entitled to solve only one question at a time and up to 3 sub-parts only. As the…

Q: 7. The cost per computer produced at a factory depends on how many computers the factory produces in…

A: (7) Cost per computer produced by a factory is given by the function; C(n)=1500n2-n+200. where n is…

Q: Solve the given ODE using Laplace Transform 2. x"(t) – 4x'(t) + 4x(t) = 4e2t, x(0) = -1, x'(0) = -4

A:

Q: 7. Solve the following Cauchy-Euler equation d’y dx² dy +5x- +3y = In x. dx

A:

Q: Question 5 A farmer, planning spring planting has decided to plant up a total of 120 acres of corn…

A: we will use given conditions to find inequalities

Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the volume of the solid…

A:

Q: 1. Show that m*(Q) = 0, where Q is the set of rational numbers. 2. Let x e R. Then m*(A) = m*(x + A)…

A: 1)

Q: A  40 meter squared (40m2) field was sampled using a  1 meter squared quadrat (1m2). There were an…

A: There are 40 meter squared (40 m2) field. And average 2 dandelions per quadrat.

Q: c). i. Find the general solution to this homogeneous equation using the auxiliary equation method…

A: Given: y''-2y'+10y=0

Q: For two concentric spheres with radii r = a and r, = b, with a<b, the temperature T(r) of the region…

A: To solve: the boundary value problem: 3T''(r)+2T'(r)=0T(2)=10T(4)=30 where T(r) represents the…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A:

Q: The rule of inference that permits us to derive a specific instance from a universal statement is…

A:

Q: In the case of continuous least squares approximation, to find a degree 3 polynomial to approximate…

A:

Q: A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever…

A: The given graph is     To find: (a) limx→c fx             (b) f(c).

Q: Problem 1B. Solve the system of linear equations using Gauss-Jordan Elimination. -2 -4 7 [X1 8. X2…

A:

Q: 00 1 = 1- x +x² - .+(-1)"x" + ... = (-1)* 1+ x (-1)"x". %3D n=0 1 f(x) = 1+ x2

A:

Q: 1 liter of paint that costs 200.00 pesos can cover 13.33 square meters, exactly how much will be…

A: Given  1 liter paint cost 200.00 pesos  1 liter paint can cover 13.33 square meters

Q: Question A2 A farmer plans to plant 3 crops A, B and C in the coming season. The seed for crops A, B…

A: Let us determine all possible combinations of x, y and z by performing elementary row operations on…

Q: D

A:

Q: TOPOLOGY OF CompLEX KumBERI S. Find apara metri z0ton 9 cur ve thoat portion the 13 of the circle…

A: To parametrize the curve z=1, that joins 1 to i. (i) In a counterclockwise direction. (ii) In a…

Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

A: We have to find the maximum net profit using the simplex method.

Q: Use Gauss-Jordan Elimination to find the inverse of -1 4 2 3 2 4 2 0 2

A:

Q: A cellphone manufacturer has developed a profit model that depends on x number of cellphones per…

A:

Q: Determine the vector field of F. F(x, y) = yi – xj 1 1

A: We need to determine the vector field of Fx,y=y i^-xj^    x,y Fx,y=y i^-xj^ =y,-x 1,0 0,-1…

Q: -4 0 A -4 %3D B = 2 -1 -1 2] 15 4 ]

A: