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olga_2 [115]
3 years ago
9

(b) Let X(s) and Y(s) denote the Laplace transforms of x(t) and y(t), respectively. Find H(s) = Y(s)/X(s). Assume zero initial c

onditions. (H(s) is called the transfer function of the circuit) (5 points)
Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

H(s)=(∫_(t=o)^∞▒〖x(t)e^(-st) dt〗)/(∫_(t=o)^∞▒〖y(t) e^(-st) dt〗)

Step-by-step explanation:

L{f(t)}=F(s)=∫_(t=0)^∞▒〖f(t)e^(-st) dt〗

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Help please? i would really appreciate it.
raketka [301]

Answer:

The answer is option C i.e; y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0


6 0
3 years ago
7 - 3b-2(0 + 3 - 2b)
Naddika [18.5K]

Step-by-step explanation:

7 - 3b-2(0 + 3 - 2b)

To simplify the expression in the box, Fatua used

these steps:

Step 1:7 - 3b-2(3 - 3b)

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Step 3: -13 - 66

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2 years ago
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What is the area of a sector with a central angle of (2pi/3) radians and a diameter of 12 in?
Stels [109]

Answer:

The area of the sector is 37.68\ in^{2}

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=12/2=6\ in ----> the radius is half the diameter

substitute

A=(3.14)(6)^{2}

A=113.04\ in^{2}

step 2

Find the area of a sector with a central angle of (2pi/3)

Remember that

The area of 113.04\ in^{2} subtends a central angle of 2\pi \ radians

so

by proportion

Let

x----> the area of the sector

\frac{2\pi}{113.04}=\frac{(2\pi/3)}{x}\\ \\x=113.04*(2\pi/3)/(2\pi)\\ \\x=37.68\ in^{2}

8 0
3 years ago
The endpoints of a line segment are A(-7, -2) and B(2, 4). The segment partition is (-3.4, 0.4). Find the ratio. HELP ASAP!!
Otrada [13]

Answer:

4.33 : 6.49

Step-by-step explanation:

Given endpoints as A(-7,-2) and (2,4) find the length of the segment

d=√ (x₂-x₁) + (y₂-y₁)²

d=√ (2--7)² + (4--2)²

d=√ 9² + 6²

d= √ 81 +36

d=√117 =10.82

The partition is at (-3.4,0.4)

The length from A to the partition will be

A(-7,-2)    (-3.4,0.4)

√ (-3.4--7)² + (0.4--2)²

√ 3.6²+2.4²

√18.72 = 4.33

Length of segment from partition to end point B

(-3.4,0.4)   ,  B(2,4)

√(2--3.4)²+(4-0.4)²

√ 5.4² + 3.6²

√42.12

=6.49

The ration that results from the partition of the segment is;

4.33 : 6.49

3 0
3 years ago
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