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neonofarm [45]
4 years ago
6

It is known that the A matrix of a single-input-single-output state space system has 4 eigenvalues at -1, 1, 2, 3, and the D mat

rix is 0. Furthermore, when the input is u(t) = 1 and the initial states are all zero, the steady-state output of the system is 5. Find the controllable canonical form of the system

Mathematics
1 answer:
SOVA2 [1]4 years ago
8 0

Answer:

The controllable canonical form of the system =

Y = (5 0 0 0) (x1)

                     (x2)

                     (x3)

                     (x4)

Step-by-step explanation:

The detailed explanation is as shown in the attached file.

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A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet
Kisachek [45]

The Holly is stringing lights around the edge of the patio is 37.68 feet.

<h3>What is a circle?</h3>

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circular patio has a diameter of 12 feet.

Then the radius (r) will be

\rm r = \dfrac{diameter}{2}\\\\r = \dfrac{12}{2}\\\\r = 6

Holly is stringing lights around the edge of the patio will be

\rm Circumference = 2 \pi r\\\\Circumference = 2*3.14 *6\\\\Circumference = 37.68 \ \ ft

Thus, the Holly is stringing lights around the edge of the patio is 37.68 feet.

More about the circle link is given below.

brainly.com/question/11833983

3 0
2 years ago
Try It Yourself<br> Find 0.2% of 126, rounding your answer to 3 significant figures if needed
sweet [91]

Answer:

0.252

Step-by-step explanation:

<u>0</u><u>.</u><u>2</u><u> </u> ×126

100

0.252

4 0
3 years ago
An object is traveling around a circle with a radius of 10 cm. If in 20 seconds a central angle of 1/3 radian is swept out, what
arsen [322]
Usually, Δ stands for a difference: if you have two quantities a₂ and a₁, their difference a₂-a₁ can be shortened as Δa.

This said, your formula is not set up correctly: the linear speed can be found with the formula:
v = ω·r
where r is the radius and <span>ω is the angular frequency, which is given by:
</span>ω = Δα / Δt
Substituting this into the one above, you find the correct formula:
<span>v = (Δα / Δt) · r

The problem gives you directly </span>Δα, which is 1/3 rad, because does not say at what angle the point started moving and at what angle it stopped.
Similarly, for the time you have Δt, which is 20 s.

Therefore, plugging in the numbers you get:
v = (Δα / Δt) <span>· r = (1/3 </span>÷ 20) × 10 = 1/6 = 0.167 cm/s




3 0
3 years ago
What are the slopes of the two lines?
S_A_V [24]

Step-by-step explanation:

The slopes of two lines are equal

6 0
4 years ago
A square is rotated around the y-axis of coordinate plane. Which of the following three dimensional figures is formed?
Ilya [14]
A square rotated about the y-axis produces a cylinder.
4 0
4 years ago
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