Please show all work Consider the following x'=(-7-28 (a) Find a fundamental matrix for the given...
Chapter 7, Section 7.7, Question 07 Consider the following system of equations. (a) Find a fundamental matrix for the given system of equations. Use the eigenvectors so that the coefficeints in the first row all equal 1 Equation Editor Ω Common Matrix Ψ (t) = (b) Find the fundamental matrix重(t) satisfying重(0) = 1. Equation Editor Ω Common Matrix tan a) sin(a) 0os(a) 重(t) =
Chapter 7, Section 7.7, Question 07 Consider the following system of equations. (a) Find a fundamental...
Consider the following system of equations. orie 10 x = 5 la (a) Find a fundamental matrix for the given system of equations. (t) = Equation Editor Common 12 Matrix sin(a) cos(a) tan(a) seca) osca) cot(a) de lidz jjar vayalal U s in(a) cos(@) tana ) (b) Find the fundamental matrix (t) satisfying • (0) = I. (t) = Equation Editor Common 2 Matrix cos(a) tan(a) sin(a) seca) sin- (@) sec(a) csele) cot(a) den ſide | saz cos @) tan-(a)
Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A 01 0 0 10 0 0 0 0 0 1 00 - 29 10 et 0 0 el 0 -t 0 et 0 0 et O A. X(t) = 1 0 OB. X(t) = 0 51(5 cos 2t - 2 sin 2t) e5t (5 sin 2t+2 cos 2t) 0 0 2t2 cos 5t - 5 sin 5t) 2 (2 sin 5t + 5 cos...
Determine e At by first finding a fundamental matrix X(t) for x' = Ax and then using the formula eAt = X(t)X(0)1. 0 2 2 2 0 2 2 2 0 First, find X(t). Choose the correct answer below 4t -2t 4t e -2t (1+t) e e -2t OA. X(t) (1+t)e4t 0 e2t B. X(t)= e4t 0 -2t -2t 2t - e - 2t (1t)e 4t e e 4t e 4t - sint sin t 0 (1t)e -2t O C....
(7) In this problem let X denote the vector space C(0, 1) with the sup norm. (a) Given f e X, define d(f) = f2. : X → X is differentiable, and Prove that φ find φ'(f). (b) Given f e X, define 9(f) = J0 [f(t)]2dt. Prove that Ψ : X → R is differentiable. and find Ψ(f).
(7) In this problem let X denote the vector space C(0, 1) with the sup norm. (a) Given f e X,...
Suppose that the matrix A A has the following eigenvalues and
eigenvectors:
(1 point) Suppose that the matrix A has the following eigenvalues and eigenvectors: 2 = 2i with v1 = 2 - 5i and - 12 = -2i with v2 = (2+1) 2 + 5i Write the general real solution for the linear system r' = Ar, in the following forms: A. In eigenvalue/eigenvector form: 0 4 0 t MODE = C1 sin(2t) cos(2) 5 2 4 0 0...
Please answer from part a through u
The Fundamental Matrix Spaces: Consider the augmented matrix: 2 -3 -4 -9 -4 -5 6 7 6 -8 4 1 3 -2 -2 9 -5 -11 -17 -16 3 -2 -2 7 14 -7 2 7 8 12 [A[/] = 2 6 | -2 -4 -9 | -3 -3 -1 | -10 8 11 | 11 1 8 / 7 -10 31 -17 with rref R= [100 5 6 0 3 | 4...
conic section
Now consider the conic represented by the equation xyy-22x +2/2y-0. For this equation, it is more difficult to wrte t in the form -h. 1 because of the xyterm. When a conic with equaticon difficult to write it in the formk - 1 because of the xy term. When a conic with equation ax' + bxy + cy'+dx ey+-0 is rotated about an angle 6, where cot 20-converting from basis B: # {( 1, 0), (0, 1)) to...
(t), For this question, this system has two inputs. The first input is the velocity of The following figure depicts a standard bicycle model used for modeling vehicles. Its state is described by some position, r ф(t) the front tire, v(t). The second input is the steer which of the following answers best describes the equations of motion? the (xr(t), yr(t)) 4(1)-r(t) cos(φ(t)) cos(0(t)) (t)(t) cos(p())sin((t)) 0(1)-v(t)sin(φ(t)) ) (t)cos(o(t) A(t)-v(t) sin(θ (t)) 00-v(t) tan(φ(t)) A(t) 4(t)-v(t) sin(θ(t)) ))cos(o(o) v(t) tan(p(t))...
Please show all work and
rationale.
(10%) Problem 7: Consider the circuit in the diagram, with sources of emf listed below. Randomized Variables & = 27 V E = 46 V &z = 10.5 V & 4 = 43 V 3 R 200 Otheexpertta.com > A 33% Part (a) Find I in amps. 1;= Grade Summary Deductions Potential 100% 0% HOME E sin cos t an() cotano asin( acos atan acotan sinh cosh) | tanh) | cotanh) Degrees O Radians...