4. The state representation of a given system is given by x (t) = Ax (t). If the initial state vector of the system is x (0) = then system response is x (t) = If the initial 2e 2 state vector of the system changes to x (0) = then the system response becomes e x (t) : Find system matrix A.

Q: Sih X pronf:, sin1x) cosinx)dx Sin (1-h)X

A:

Q: 2. The slope coefficient for a regression of Y on X is 3. The constant of a regression of Y on X is…

A:

Q: Which of the followings is TRUE for f(x, y) = 3x – y + 6 on the circle a? + y? = 4. Lütfen birini…

A: Given function is fx,y=3x−y+6 and a circle is x2+y2=4. We have to find the maximum and minimum of…

Q: I Write a system of inequalities that has the given graph. 1. (0,6) (5,6) 5+ 3 (0, 3) 2-- (5, 2) (4,…

A:

Q: c) Find 4°f(x) if f(x) = (3x+ 1)(3x + 4)(3x +7)... (3x + 19), %3D

A:

Q: 22. Show with one picture that 2/3 is equivalent to 10/15 in a continuous case. Explain how your…

A:

Q: Given y1 (t) = t and y2(t) = t- satisfy the corresponding homogeneous equation of t'y" - 2y = - 3t –…

A:

Q: Solve by Laplace transform Utt - 9urz = 0, 0 0 u(0, t) = u(T, t) = 0, %3D u, (x,0) = 0, u(x,0) = 2…

A: Use Laplace.

Q: O The circle drawn around a rectangular triangle wit legs long v2 is itself long : a) V2n b) 6л c)…

A:

Q: Consider the equation (34)x = (3y)s where x and y are unknown. The number of possible solutions is

A:

Q: Q.6 Choose all the correct options (a) S: dz Over C = -2ni, where C: |z|=4. sin hz (Б) f dz Over C =…

A: To find: Which of the given options are true.   Cauchy residue theorem: If C is a simple, closed,…

Q: Use Eisenstein's criterion to show that the polynomial x3 –- 3x? + 9x – 10 is irreducible over the…

A: Solution :-

Q: There are 15 members in a club: (a) How many ways are there to choose 10 members to form a…

A:

Q: test the conver gehre and dvelyence n coscnt)

A:

Q: ctermine whether the tollowing matrias are Yow-echelon forms or not ? plan why? 1 -2 37 150 o 1 -1 1…

A:

Q: 1-2 Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates…

A: To fid the coordinates similar to a given polar coordinate we can use following formula…

Q: d d. Calculate [r(t) r2(t)] and dt [r(t) x r2(t)] first by differentiating dt the product directly…

A:

Q: x- (8 + 8iV3) = 0

A:

Q: If sin 0 = 0 <0<5, find the exact value of each of the following. 2 (a) sin (20) (b) cos (20) (c)…

A: We know that for a right-angled triangle,  Sin x = height / hypotenuse. Cos x = base / hypotenuse.…

Q: 20 Y1 (1) = ÷ 42(x) = It is known that are solutions of the differential equation z*y" – by = 0, ,…

A: We are given second order homogeneous differential equation with variable coefficient and its…

Q: Find the curvature and the radius of curvature at the stated point. T r(t) = 11 cos(t)i+ 10 sin(t)j+…

A:

Q: B. Exterior Angle Inequality Theorem Given: Δ ΜΝΟ Prove: mLM + m²N = MLACB

A: To prove the below statement in the given triangle ΔMNO. m∠M+m∠N=m∠MOP Note: There is a typo in the…

Q: 2 C, e-kt Show that the equation dy + 2k - possesses solutions of the form 00 cos (C, x+ E,) cos…

A:

Q: Given: surface Q : 9x² – 4z² = 9y (a) Give the equation of the trace of Q on each coordinate plane…

A: Given : surface          Q : 9x2-4z2=9y (a) To give equation of the trace of Q on each coordinate…

Q: [CLO-3] A Glide Reflection is a proper rigid mo OTrue O False

A: A rigid motion is the motion in which  all the points in the plane move in such a way that the…

Q: In Holland, 70% of the people own a car. If five adults are randomly selected, what is the…

A:

Q: 4. Evaluate the integral 9 f(z) dz, where C is the unit circle centered at the origin D=64 sin(D*z)…

A:

Q: EXAMPLE: I. The group (Z3,+) is a simple group. In fact, the only normal subgroups of (Z5, +) are…

A:

Q: 22. Show with one picture that 2/3 is equivalent to 10/15 in a continuous case. Explain how your…

A: Note: To find the equivalent fractions for any given fraction, multiply the numerator and the…

Q: Find bounded by y Ax+l and y=lx vying area doble ntorgral. -l. 2

A:

Q: 5.2.7 Show that Ae³A™ = eABA' for any orthogonal matrix A.

A: To show: AeBAT=eABAT for any orthogonal matrix A.

Q: Recall that the radius of convergence R of a power series with coefficients a, is found by first…

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t – 4)i + tj; t = 4 T(4) =

A: Given that rt=t2−4i+tj, t=4

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (2x² – 7x…

A: Introduction: A continuous function in mathematics is one in which a continuous variation (that is,…

Q: 253. A horizontal trough is 16 m long and its ends are isosceles trapezoids with an altitude of 4m…

A:

Q: Exercise (3-2): find Fourier series on [0,2n] Question Answer (1) f(x) = x/2 sin nx 2 2) f(x)=-x sin…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 21 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will…

A:

Q: 9) Obtain the neetilinear attarymptotes.of the cunve

A:

Q: 2x 25. What is the radius of convergence of the Maclaurin series for 1+x (A) - (B) 1 (C) 2 (D)…

A: We know that if |x| &lt; 1 ,the geometric series ∑n=0∞xn converges and has sum 1/(1-x).That is ,1 +…

Q: Find a power series for the function, centered at c. 1 h(x) C = 0 %D 1 - 8x' h(x) = 1 I %3D n = 0…

A:

Q: Let x(t) be the displacement of an object, attached to a vibrating vertical spring with one end…

A:

Q: Use a double integral to find the volume of the indicated solid. 8. X +y+2 8 00

A:

Q: Describe all ideals of the following quotient ring: Q[x]/(x² – 5x + 6)

A: Given:Q[x](x2-5x+6)

Q: )f(x, y) = xe¯2r²–2y²

A:

Q: Use the simplex method to solve the following maximum problem: Maximize: P 6x1 + 19x2 Subject to the…

A:

Q: Hiw Taelermine whether the following matricas are Yow- echelon forms or not ? plan why? 1 -2 3 7 A =…

A:

Q: FRecall that the radius of convergence R of a power series with coefficients a, is found by first…

A:

Q: 4. Find the Inverse Laplace of 10 1 7 s+2 3s-5 s5

A:

Q: f(x, y) = 8 – + xy. I y

A:

Q: For an election with four candidates (A, B, C, D) consider the following preference table: NUMBER OF…

A: