PART B PLEASE f the following systems,find an explicit conjugacy between their For each o flows....
explicit differentiation
find f'(y)
explicit differentiation
b) In x® + Belly + lng = 0 b) In x® + Belly + In š = 0
please, be explicit
4. Find all fixed points for each of the following maps and classify them as cobweb for the typical trajectories. a) f(x) 2r(1-); b) f(z) -; c) f(z) ; d) f() 4+ attracting, repelling, or neutral. Draw a
4. Find all fixed points for each of the following maps and classify them as cobweb for the typical trajectories. a) f(x) 2r(1-); b) f(z) -; c) f(z) ; d) f() 4+ attracting, repelling, or neutral. Draw a
(3 pts each) For each of the following find an indexed collection {An}nen of distinct sets (no two sets are equal) such that (a) n=1 An = {0} (b) Un=1 An = [0, 1] (c) n=1 An = {-1,0,1} (5 pts each) Give example of an explicit function f in each of the following category with properly written domain D and range R such that (a) There exists a subset S of D with f-'[F(S)] + S (b) There exists...
(5 pts each) Give example of an explicit function f in each of the following category with properly written domain D and range R such that (a) There exists a subset S of D with f-'[F(S)] + S (b) There exists a subset T of R with f[f-(T)] #T (11) (3+3+ 5 + 5 + 2) Define functional completeness. Show that x + y = (x + y) + (x + y), x · y = (x + x) +...
For each of the following systems, find a > 0 and b > 0
such that L(x, y) = ax^2 + by^2 obeys d/dt(L) not = 0 whenever (x,
y) 6= (0, 0). (This makes L a Liapounov function.) State whether
the origin is a stable or unstable equilibrium in each case.
(a) x' = −x^3 + 7xy^2 , y' = −3x^2y + y^3 .
(b) x' = x^3 − y^3 , y' = 3xy^2 + 4x^2 y + 5y^3...
Please answer the signals and systems question clearly :)
Assume the following LTI system and the input signal whose spectrum depicted below 2. x(t) Y(o) H(a) X(a) 2π 2π 3TT 3π Find x(t), Y(ω), and y(t) for each of the following filters. 3 2 0 2 f)
1
Sec. 8.1 8.2 Homework For each of the following systems, find all critical points (b) find the linearization at each critical point and determine the type and stability of each critical point (c) draw a phase portrait confirming the type and stability of all critical points (1) / - (2+)(y-*) V = (4-1)y + r) (2) 1-1- (4) 2 - 1 - ry (5) x = (1-1-y) V-(3--20) Bonus computational work (use technology!) 1. Uee pplane to plot the...
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
1.30. Determine if each of the following systems is invertible. If it is, construct the inverse system. If it is not, find two input signals to the system that have the same output. (a) ya)-x(t - 4) (c) y[n] nx[n] (b) y(t) = cos(x(t)] x[n - 11, n z 1 In], (e) yIn]-0, ns-1 (g) y[n] x[1 -n] G) y(t) dxt (1) V(f) = X(20) n 0 (k) vini =lx(n+1],
please help with 1 through 6
vProbSet5a%20(2).pdf 1. Find the area between f(x) 2-x2 and f(x) x Concrete sections for a new building in meters are as shown. 2. 5.5S Find the area of the face of the concrete section where the right half of the curve is y-V5-x. Round to two decimal places. a) b) Find the volume of the concrete section. One cubic meter of concrete weighs 5000 Ibs. Find the weight of the concrete section. :1-Rev-Prob-Set53%20(2) pat...