Consider the following state space representation of a first order systern. x=-3x + 2u y = 2x Which of the following is the transfer function for this system? 01. 1 H(s): 3s²+2s+2 02. 3. Ⓒ4. 5. H(s): = 2 S-3 H(s) = [20] [5 +3 -2 H(s) H(s) = 12 S 4 s+3 = -2 S -1 ¹₂

Q: 11. Show that a finite integral domain is a division ring. 12. If x= x for all x in a ring R, show…

A:

Q: ) Use the definition Laplace transform to find £{f(t)}

A:

Q: Find the rest of 777 in the division by 3864

A: Solution :- Rest of 777 in the division by 3864 First calculate the value of 77=823543Convert the…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A:

Q: Approximate the area under the curve f(x) = 3²-1 on [2, 4] using midpoints and 4 rectangles (round…

A:

Q: Problem 3. (a) e (c) Let A be an n x n matrix with characteristic polynomial: f(t) = (-1)" t" +…

A:

Q: Let R be the relation defined on P({1,..., 100}) by ARB if and only if An B is even. Is R reflexive?…

A: Given: R is the relation defined on P1,....,100 by A R B.           A∩B is even.We need to check…

Q: Find the directional derivatives of the convex function f(x) = max{−5x + 3, 2x + 1}.

A:

Q: Consider the Boundary-Value Problem: ² ²u 9 = dx² 000 a(0, 1) = 0, u (2, 1) = 0,05155 u(x, 0) = 3x…

A:

Q: Which of the following are true regarding the first derivative of the function f(x) = cos √x at x =…

A: Given: Function fx=cosx is given. To Find: One needs to evaluate the first derivative using forward…

Q: Determine whether the linear transformation T is one-to-one and whether it maps as specified. Let T…

A:

Q: Water has a density of approximately 1. Objects will sink if their density is greater than water and…

A:

Q: f(x) = 2 ai 02 1 Pi bi 3 Suppose you want to determine √25 on the in- terval [2,3] by using the…

A:

Q: For a particular exotic animal, it is estimated that there are no more than 370 of these animals…

A:

Q: Evaluate ſſſ x² + y² + z² dV where D is the region above the xy-plane between the spheres x² + y² +…

A: ∭Dx2+y2+z2dV D is the region above the xy plane between the sphere x2+y2+z2=4, x2+y2+z2=9 and…

Q: Find second iteration y₂ of the trapezoidal method for y' = (x + y)x, y(2) = 3 Ax = 0.2

A: Definition follows

Q: Exercise 3. Determine whether the solution of a" +z+8x7 = 0 satisfying (0) = 0 and x'(0) = 1 is…

A: Given, We have to determine the solution of x''+x+8x7=0 with satisfying x(0) = 0 and x'(0) = 1.

Q: Using either the integral or Comparison Tests, determine whether the following series converge or…

A:

Q: Let a be the positive real fourth root of 3. Factor the polynomial x¹-3 into irreducible factors in…

A:

Q: Given a complex matrix A follows: 1 + i 4 A = 6 1-i Questions: a. Check whether matrix A is…

A:

Q: Verify Stokes theorem for the given surface S and boundary 85, and vector fields F. S = ((x, y, z):…

A:

Q: dz du Find when u = 0, v = 3, if z = sin (xy) + x sin (y), x=u² +3v², and y=2uv. əz ди u=0, v=3…

A:

Q: 1. Solve the initial value problem: y" - 6y' +9y = 11e³x 43 y(0) 27/1/₁y'(0) = 24/12/2 == 2. Find…

A: We have to find the solution of the given differential equation.

Q: Ow OW For the functions w = xy + yz + xz, x=2u+v, y = 2u-v, and zuv, express and using the chain…

A:

Q: 7. Use Romberg method to calculate 2dx.

A: Romberg Integration is given as :-I=∫abf(x)dx=Rn k+O((b−a2n)2k+2)R0 0R1 0R1 1⋯⋯⋱Rn−1 0Rn−1 1⋯Rn−1…

Q: (h) In a right angle triangle AABC with right angle at C, a = 2 and c = 3. What are the following b=…

A:

Q: Part A Write the function if Cecily releases the ball 40 feet above the ground at a velocity of 32…

A: Earth attracts everything downwards. This attracting force is called gravitational force. So, when a…

Q: Problem 4: Using the language of differential forms and a Stokes-like theorem, calculate the flux of…

A: Stokes theorem states that any closed line integral can be calculated by calculating surface…

Q: please show all work   2.    Consider a linear system below: 2x − y + z = 2 x + 2y − z = 5 3x + y…

A: Given Data: Let us consider the given a linear system, 2x − y + z = 2 x + 2y − z = 53x + y + 2z = 5…

Q: The molecular formula of a compound is C6H1002. What is the corresponding empirical formula?…

A:

Q: If I have a piecewise function that I want to write an f(t) for then take the laplace transform;…

A:

Q: Let f(x) = x - x² for 0 ≤ x ≤ 1. What is the Fourier series of the odd component of f(x) on the…

A: Fourier series is the expansion of the periodic function it is a combination of the sine and the…

Q: Consider the following set of data: 13 7 19 4 46 25 45 14 (There are 28 data values) 10 8 6 23 29 21…

A: Firstly make a table that describes the given information. The table is shown below. Class…

Q: Take the function defined by the series f(t) = 2+1 cos(nat). Find the antiderivative which is in the…

A:

Q: P5. Establish Ak and find its determinant for for b b for b = (1, 1). Solve A100 x = b X 32 4-[83] A…

A:

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

A: The given problem is to evaluate the given flux of  surface integral of vector field over the…

Q: #4

A:

Q: Find the power series representation for the function and determine the radius of convergence.…

A: We have to find the Power series representation of f(x) = x2ln(1 - x) We know ln1+x=∑n=0∞-1nxn+1n+1

Q: 4) Minimum Spanning Trees. Find a minimum cost spanning tree on the graph below using Kruskal's…

A: Weight of the minimum spanning tree

Q: 11. The derivative of cos 3x² is: a. -6x sin 3x² cos 3x² b. - sin 3x² c. -6x cos 3x² d. -6x sin 3x²…

A: Derivative represents the rate of change of a variable with respect to the independent variable. A…

Q: Use the given graphs off and g to evaluate the expression. (Assume that each point lies on the…

A: Solution :- To find fog1i.e. fg1It is clear from plot that g1=3

Q: The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats…

A: Given sample consists of 10 data points. Sample mean and deviation are 154.4 and 31.1 respectively.…

Q: A corporation starts making monthly payments into a sinking fund in order to have $463,000 in 11…

A:

Q: 10) Consider the following election with five candidates and 21 voters. a) Use the Hare System to…

A: Given: Let us consider the following election:   7 6 5 3 First A B C A Second B A B D Third…

Q: /(x (x2.1 + x-1.3) dx

A: Solution

Q: In an polar curve r = f(0), what is the relation between 0 and the coordinate (x,y)? y² O O…

A: The correct option is the first option.

Q: What is the volume occupied by 6.02x1024 atoms of Helium a temperature of 0°C and a pressure of 1.00…

A:

Q: 20. Let g(t)= cos(31) +2. (a) Write the parent function and draw one cycle here: (b) Find the…

A:

Q: F.3

A:

Q: Find the Fourier-Legendre series expansion of the step function f(x)={0,−1<x<01,0<x<1.

A: Given: fx=0, -1<x<01, 0<x<1 To find the Fourier-Legendre series expansion.