The eigenvalues of A will be complex conjugates. Analyze the stability of equilibrium (0,0). Is it a stable spiral, an unstable spiral, or a center? A= [ -1 1] [-3 1]

Q: (d) If go = 0 and gi = 1 show that the limit of the Jibonacci sequence is %3D %3D

A: Given that the " Jibonacci " numbers are the average of the two previous numbers : gk+2 = 12gk+1 +…

Q: Find the mass and the z-coordinate of the center of mass of the solid of density kx bounded by the…

A: Mass of solid of region D with density function δx,y,z M=∫∫∫Dδx,y,zdV To find z co ordinate we need…

Q: 2. The inverse Laplace Transform of the function F(s) = 4s+2 / s²+2s+5 is : (a) e* cos 2t + 2e* sin…

A: Given function is Fs=4s+2s2+2s+5

Q: 16 I-2 x2-4 4,

A: 4x-2-16x2-4 =4x-2-16x2-22 a2-b2=(a+b)(a-b) =4x-2-16(x-2)(x+2)

Q: Drag the appropriate expression to complete the first step for writing an equivalent rational…

A:

Q: 5. For each of the following, state whether the equation is ordinary or partial, linear or…

A:

Q: x-1 y+3 12-z Consider the following lines defined by I,: and l2: 9. =- %D 7 x = 2t + 10, y = 5t, z…

A:

Q: Find the general solution to the DE using the method of Variation of Parameters 8 y" – 4y = e2x + 1

A:

Q: 6. Compute the projections of [1, – 1,0, 1] on the vector [0, 1,0, 2]. |

A: Let v = [1, -1, 0, 1] and u = [0, 1, 0, 2]

Q: Indepen-dent Variable Depen-dent Variable Equation Order Degree z(iv) + z" = -y y' + ay = bt f" + f'…

A: We have to identify the independent variable , dependent variable, order and degree of the given…

Q: Consider the vector field F = (4ry + 2y – 2, 2z2 + 2x). O The vector field is not conservative O The…

A:

Q: 3-n (a) - 3n n=1

A: According to guidelines we solve one question.thanku

Q: B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED OOEFFICIENTS 1. D?(D – 1)y = 3e* + sinx 2. (D² + D – 2)y =…

A:

Q: d Uncertainty for the equation below R = Vd

A:

Q: Let F be a field of characteristic 3. For a polynomial f e F[X], let f' be the derivative of f.…

A: Given: F is a field of characteristic 3. f' is the derivative of f. To do: Check which of the…

Q: Use the Jacobi method to find approximate solutions to - 4x3 201 + 2x2 + 3x3 = 25 2.x1 - 12 + 5x3 =…

A:

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

A:

Q: dz 2 (a) of the following functions: dx Find zxa+1cos y? = sin(yº + 22z) where A=2 C=6

A:

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

A:

Q: Find Uncertainty for the equation below a*b3Vc R = vd

A:

Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3

A:

Q: 3. A hydrologist needs to estimate the volume of the water in the approximately circular well as…

A:

Q: To test this series for convergence n nº + 4 n=1 where p= пр n=1 You could use the Limit Comparison…

A:

Q: y = In (tan(x).3sec(x) + /sin (x³)

A:

Q: The following logarithmic table is given. f(X)=log(X) 4.0 0.6020599913 1 4.5 0.6532125138 2 5.0…

A: The interpolation polynomial's Lagrange form demonstrates the linear nature of polynomial…

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of set and functions and calculus of several variables.

Q: (0,1). Prove the following functions is uniformly continuous on sin x f(x) =

A: Uniformly Continuous:-  Here we prove the result using a theorem of uniformly continuous.

Q: A "periodic function" is given by a function which O satisfies f(t+T) = -f(t) O satisfies f(t+T) =…

A: Definition of  Periodic function : A function y= f(t) is said to be a periodic function if there…

Q: b) Determine each state's apportionment using Jefferson's method. State A B D Total Population…

A: Divisor =49,400 Modified Quota=State populationDivisor

Q: (a) Find A (b) Find the eigenvalues and eigenvectors of A. (c) Find the limit as n ∞ of A.

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: 5xn X1 = 1; xn+1 = 1; Χn+1

A:

Q: Solve the following LPP problem using the simplex method: Mazimize z = 2x, + 3x, + 4x, [3x, + 2x, –…

A: To solve a linear programming problem by simplex method the component of the right hand side vector…

Q: 2. A cone of radius 2 cm and height 5 cm is lowered point fırst into a tall cylinder of radius 7 cm…

A: The volume of cone is given by the formula V=13πr2h. In the formula of volume r is radius  and h is…

Q: a 6) Determine the value(s) of a such that is linearly independent.

A: Given the set 1a,aa+2 is linearly independent.

Q: PROBLEM B dx + 9x = 12 WHERE : x(0) = 1 dt

A:

Q: -) {in(6n) 2 n=2 =) an = In(6n³ – 4) – ) {cos(nt)}0 n=0

A: e) an=ln6n3-4-ln3n3+5n2-7n+8 determine if the series is convergent or divergent? if convergent find…

Q: -4 If B = and []B then a 3 4

A: B = {(1, 3)t, (0, 1)t} Co-ordinate representation of x with respect to B is         [x]B = (-4, 4)t

Q: The integral represents the volume of a solid of revolution. 2n (a) Identify the plane region that…

A: By the method of cylindrical Shells , let f(x) be a continuous function and R be the region bounded…

Q: Ahal answer on the text box otherwise handwritten solution will not be credited. Let f(x) be a…

A:

Q: Determine the sum of the following series. (- 4)"-1 7" n=1

A:

Q: Fill in the blanks below for the computation of 7 div 2 using the computational grammar in Example…

A: Given below clear explanation

Q: 1 : : Evaluate F dS whereF = (r",y",) and S is the solid bounded by the ry plane and the elliptic…

A:

Q: Given two terms in a geometric sequence find the explicit formula for the nth term. a2 = 4 and a = 1…

A:

Q: 3. Prove that eª >1+x for x > -1

A:

Q: Consider the vector field F = (x²y°, r’y²). O The vector field is not conservative O The vector…

A:

Q: For which n listed below does there exist a field extension F ɔ Z/2 of degree n such that the…

A:

Q: 1 Mark as TRUE or FALSE. If they are true give an explanation, if they are false, give a coun-…

A:

Q: 2. Solve the initial-boundary value problem Pu 400 Ox2 0 0 %3D u(0, t) = u (67, t) = 0 t >0 ди…

A: We solve the problem by the method of saperation of variable.  In this method we assume that the…

Q: Write MATLAB commands to solve the following equations. x = 4 cos 30° + VT0 sin? 30° b. y = In 10 +…

A: x=4cos(300)+10sin2(300) y=ln(10)+30sin(250)

Q: Suppose that you borrow $17,000 for four years at 6 ​%  toward the purchase of a car. Use PMT equals…

A: