A process is perturbed by a sinusoidal varying input, u(t), whose amplitude is A and whose frequency is w. The resulting process output relation is given by Y(s) = KAW s(5² + w³²) a) What must have been the differential equation representing the process? The initial condition y(0)? b) Find y(t).

Q: Find A, and b such that Ax=b corresponds to the given linear system. 3x19x2 +9x3 = -4 -7x1 + 7x2 +…

A:

Q: + 2dmax + a Σ; L*(N (j)). α

A:

Q: Probl Evaluate the following function along the line y = x from (-1, -1) to (1, 1). [e³dz

A:

Q: f(x1,x₂) = 2x³ + 3x²x₂ + 3x₁x² + x²

A: Given nonlinear function fx1,x2=2x13+3x12x2+3x1x22+x23 H(x)=[∂2f∂x12∂2f∂x1∂x2∂2f∂x2∂x1∂2f∂x22]…

Q: 88. π/2 ≤ 0 ≤ π/2,0 ≤ r ≤ 3,0 ≤ z ≤r cos 0

A: -π/2≤θ≤π/2will give region in 1st and 4th quadrant0≤r≤3will give semicircle of radius 3 in 1st and…

Q: QUESTION 2 Consider a quadratic function f(w) = (aw-b)2 with some a, b e R. To find the minimizer w*…

A: What is Minimizer of a Function: For a real valued function the minimizer is nothing but a point in…

Q: 5. A coliseum has 50 seats in the first row. At which row contains 62 seats if each row behind the…

A: What is Sequence: In mathematics, a sequence is a list of objects where repeats are allowed and the…

Q: Exercise 2.23: Let X be a nonempty set. Define u*: P(X):→→ Ras: [0 If A is finite μ* (A) =- 1 If A…

A:

Q: (a) Derive a general mathematical expression to find the probability of 2 people having colliding…

A: What is Probability: The area of mathematics known as probability deals with numerical…

Q: Find a parametrization of the following curves and - 2+2 ich 1 oto

A:

Q: company manufactures two ballpoint​ pens, silver and gold. The silver requires 2 min in a grinder…

A:

Q: Es A (a), B (b), C(c) and D (d) are related as x a +yb + zc + wd +z+w=0, where x, y, z and w are…

A:

Q: Find the absolute extreme values and where they occur.

A: We need to find the extremas from the given graph,  We can see that  x lies in the interval (0,4]  y…

Q: Given A= [41 and B = 4 use the Frobenius inner product and the corresponding induced norm to…

A:

Q: Let f(x)=x² + 2x +1 and the derivative of f at x = 1 is approximated by using the central-

A:

Q: Coordinatization. Jump to level 1 Given the ordered basis { A₁ -=[2 B = A3 = 2 -8 [V]B = 5,4₁ A4 -5…

A:

Q: Uncertainty and Fractional Difference: 4. To make sure your car can fit; you measured the length of…

A: The absolute uncertainty in a quantity is the actual amount by which the quantity is uncertain. The…

Q: Problem 10.3 10 Evaluate the following limit. z² - 2iz - 1 lim z→i z4 + 2z² + 1

A: Given:  The given expression is limz→ iz2-2iz-1z4+2z2+1. To find: The value of the given limit.

Q: The first credit card Elisabeth receives charges 13.81% interest compounded monthly to its…

A: compounded interest =13.81% n=4 months A=2425.23 i=13.8112×100   =0.011508 it is known that  A=P1+in

Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: Example 1 Find: lim 2x²-3x+5 x-0 lim x²+2x²-3x+1

A:

Q: Determinant of the obtained matrix

A: We need to find the determinant of given matrix

Q: ) The Maclaurin series expansion for cos(r) is: (a) Required number of terms of Maclaurin series…

A:

Q: Prove that if z is on the annulus, ½ ≤ | z |≤ 1, then |Im (z−¹+z+0.25)| <ñ.

A:

Q: Assume all cells not shown begin blank. A downwards arrow indicates the contents from the cell above…

A: The table given is as follows: (a) We are asked to find a formula to generate numbers as given in…

Q: Find the complete solution to the IVP given by     2ty/(t^2 + 1) − 2t − (2 − ln(t^2 + 1))y′ = 0,…

A: The given differential equation is 2tt2+1y-2t-2-lnt2+1y'=0. We can rewrite the differential equation…

Q: Use power series to find the general solution of the differential equation, state the recurrence…

A:

Q: Solve the following IVP. y"'-5y"-22y'+56y=0 y(0)=1, y'(0)=-2, y"(0)=-4

A:

Q: 1. Solve d²y dx² dy 1 1 - 64² x + 9 = ²³² (√₁ ²²² = 2√5) e³x dx -x² 2√√x

A:

Q: what about the constraints equations ?

A: Solution: The objective function to minimize will be here the total cost = setup cost + production…

Q: Solve the initial value problem: y(t) Your answer should be a function of t. ty' + y = (30t² + 15t +…

A:

Q: Let Zo(0,1,2,...). Order 7 of the following sentences so that they form a proof for the following…

A: We have the set Z≥0 = {0,1,2,.....}, we will order the given steps correctly so that it makes proof…

Q: Use these data to compute the Q matrix in the Lagrangian L(a) = mina (aQa -a). Qis a 5 x 5 matrix,…

A:

Q: Complete the square to write the equation of the sphere in standard form. x2 + y² + z² + 5x - 2y +…

A:

Q: U = {x: x is first ten positive integers} A = (1, 2, 5, 6, 9, 10} B=(2, 4, 6, 8, 10} C = (3, 4, 7,…

A: A set is a well-defined collection of objects, these objects are called the elements of the sets.…

Q: The sum of the squares of five and a number

A:

Q: Use the "mixed partials" check to see if the following differential equation is exact. If it is…

A:

Q: Use power series to find the general solution of the differential equation, state the recurrence…

A:

Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

A:

Q: Hello, you have given two answers  for the domain and I am confused which one to use. Should I use…

A:

Q: Directions: Find the next three terms and then write the explicit form of the given sequence below.…

A:

Q: Let f(x) ∈ F[x] (F is a field) and c ∈ F. If f(x) is irreducible in F[x], then so is f(x − c).

A: What is Field: A field in mathematics is a set on which the operations addition, subtraction,…

Q: Definition: The tensor product of matrices Amxn and Bpxq is denoted by A & B and is defined to be…

A: As per the question we are given four matrices as : A ∈ Cm×n  ,  B ∈ Cp×q  ,  C ∈ Cm×q  ,  X ∈ Cn×p…

Q: 7. We recall that in lectures we used the notation (PQR) to mean the area of triangle PQR. With this…

A:

Q: Use the Labis transform to solve the following initial value problem +13-0 a Using for the Laplace…

A:

Q: Find a basis for the vector space { f ∈P3 | f (0) = 0}.

A: We have f∈P3  f0=0 Now, fx=ax3+bx2+cx+d Now, f0=0⇒a03+b02+c0+d=0⇒d=0

Q: Transform the following equation of ellipse in standard form. 4x²-4y²-8x-8y-19 = 0

A:

Q: On which curve does the perpendicular tangents drawn to the hyperbola-16 1 intersect?

A:

Q: Transform the following equation of ellipse in standard form. 36x² - y² +216x-4y+292 = 0…

A:

Q: 10. There are three line segments below. One of these is labelled "1" and is one unit long. The…

A: