Find a general solution of the system x'(t) = Ax(t) for the given matrix A. A = -12 51 -3 12

Q: Match the equation with the graph. Include the directrix that corresponds to the focus at the…

A:

Q: V is a vector valued function which can be defined as follows... V (0) = V' (t) = (note: this is…

A:

Q: 3. Show that the conditions are satisfied and then use the Integral Test to determine the…

A:

Q: Find all solutions to the equation below in the interval [0, 2π). Give all answers as decimals…

A:

Q: The following statements regarding the set E are equivalent: (1) E is measurable. (ii) For all &>…

A:

Q: Solve the system 6 2 *+[ 2 by following the following steps. 1. Find et 2. Find de f(s)ds. fe 30] -…

A: Hi! As per norms, we will be answering the first question. If you need an answer to others, then…

Q: Create a graph using words as vertices, and edges connecting words with a Levenshtein distance of 1.…

A: keeping misspelled word "moke" as the center , we need to make at least 10 connected words connected…

Q: Consider the following. Initial Condition (0, 23) (a) Use Euler's Method with a step size of h = 0.1…

A:

Q: Use the Divergence Theorem to evaluate [/F. F. N dS and find the outward flux of F through the…

A:

Q: olve only if you know,  Let l and m be the parallel lines given by.. l : 2 x −7 y + 5 = 0, m : 2 x…

A: A translation in the direction perpendicular to the two lines and by a length twice as long as the…

Q: Determine: If S = {X2,1 + X2} is linearly independent or dependent.

A:

Q: Find the eigenvalues A₁ A₂ and associated unit eigenvectors ₁, 2 of the symmetric matrix The smaller…

A:

Q: Calculate L{uz(t) (t² – 7t − 2)}

A:

Q: Write an equation for the polynomial graphed below -5 -4 -3 -2 y(x) = 7 6+ 5+ 4+ 3 + 2+ 1+ -1 -2- -3…

A:

Q: b) 3 -2 Given matrix A = -2 6 2. Suppose the eigenvalues of A and the bases for the 4 2…

A: A matrix A is said to be Orthogonally diagonalizable if there exist a orthogonal matrix Q and a…

Q: Question 12 Use a power series to solve 2y" - y = 0, Find the radius of convergence. y(0) = 4, y'(0)…

A:

Q: 10. ∞ Show that the series converges: Σ n=1 a. Find the 25th partial sum: S25 · (−1)n+1 2η2 +1

A:

Q: Consider the following double integral /= So So By reversing the order of integration of I, we…

A:

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

A:

Q: III) Prove: 2) cos x x + sin æ sin y = sin 3y (3) COS (2) for all x and y such that x+y= 2

A:

Q: Given that L{cos bt}(s) = s². Click here to view the table of properties of Laplace transforms. Le…

A:

Q: t 34.h(t) = +3¹-1, 6] t+3'

A: A function f(x) has a global maxima at x=c if the value of the function f(c) is greater than all…

Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

A:

Q: This was not the correct quadratic model for data

A: Sol:- Consider   at 9 Am , t= 0  The equation is y=a+bx+cx2 and the normal equations are…

Q: 4. Use the Newton's Divided Difference formula to compute the cubic interpolating polynomial for…

A: To find- Use the Newton's Divided Difference formula to compute the cubic interpolating polynomial…

Q: Let z be a complex number and f(z) = Ln(i+z), g(z) = sinh (2z) + 3cosh(iz), h(z) = coth(5z). Which…

A: As per the question we are given three complex functions as : f(z) = Ln(i + z̅) g(z) = sinh(2z) +…

Q: Suppose the function f(x) = 9x2 − 2x + 6 describes a physical situation that makes sense only for…

A:

Q: The region S is the base of a solid with parameters y=x^3 x=4 y=0  For this solid, each cross…

A: Given: The region S is the base of a solid with parameters: y=x3, x=4 and y=0. For this solid, each…

Q: L{us(t) (t² – 7t - 2)}

A:

Q: The Cooper Foundation contributes $50,000 per year into an annuity fund for building a new zoo. The…

A:

Q: sin(2x) Compute fonda. x(x²+4)

A:

Q: If tan(a)= 23 28 Give exact answers. sin (1) = cos ( 2 ) = tan (7) (in Quadrant 1), find

A:

Q: Q4:a\ Use Euler's method and three steps with At = 0.2 for the differential equation y' = 3t- 2y²-2,…

A: We need to use Euler's method to find the solution of the differential equation at the given point.…

Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

A: We have to solve given problem:

Q: derrorsinx,y,zbe0.001.Find relative error when x = y = z = 1.

A: Given,                 U=z4                                                  ...(1)  x=y=z=1, and…

Q: 7. Suppose A Matnxn (F) is a matrix with det(A) #0. Prove that Espan{Id, A, A²,..., An-1}. A

A:

Q: a) Solve the following iterated integrals holding Fubini's Theorem. 1. S3 S₁ (x+y)² dydx S² S √x² -…

A: Given That : The integral is holding Fubini's  Theorem To Find : value of the integral…

Q: The function x5e-x* can be written as a Taylor series expanded form: x5e-x1 = ΣΕ k=0 Write a…

A: As per the question we have to build a function file using MATLAB as : y = my_taylor(x, n) Which…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: how/why does it go from 5n^3-n^2/2n^4+n^3 to 5n^3-n^2/2n^3+n^2  where does the n in the denominator…

A: It is provided that cn=5n3-n22n4+n3n. We need to simplify the provided steps.

Q: (a) Find the singular values of -2 2 +43 A= -1 1 2 -2 || (b) Find a singular value decomposition of…

A: Here we are to find out the singular value decomposition of the matrix A   A=  -22-112-2

Q: 4- The work done by a force is: Work=force-distance. If the force is variable, we have: Work= F(x)…

A: Given: The force F, measured at discrete locations, xi as follows:   To calculate: The work done,…

Q: Given the differential equation ay" +by' + cy = 6ekt has a (quasi-) period of and a,b,c,k> 0 choose…

A: Given: The differential equation, ay''+by'+cy=6ekt, which has a (quasi-) period of π2 and…

Q: Explain some of the similarities and some of the differences between the numerical and analytical…

A: Given the initial value problem {\displaystyle y'=y,\quad y(0)=1,} we would like to use the Euler…

Q: Let A be the set of all constant sequences in R^N. Prove that A is a closed set relative to the box…

A:

Q: Given this polynomial x²+3x+5=0 such that r and s are the two roots of the equation. Find the value…

A:

Q: (Growth and Decay) A culture initially has No number of bacteria. At t = 1 hour the number of…

A:

Q: Find the coordinates of the centroid of the region bounded by y=10x² and y=2x². The region is…

A:

Q: Use Definition 7.1.1, L{f(t)} DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥…

A:

Q: Question 8 Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – ln x) -

A: