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ch4aika [34]
2 years ago
9

3 For the compensation D(s) = 25 s + 1 s + 15 use Euler’s forward rectangular method to determine the difference equations for a

digital implementation with a sample rate of 80Hz. Repeat the calculations using the backward rectangular method and compare the difference equation coefficients.

Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0

Answer:for FRR method the difference equation is given by:

u(k+1)=0.8125u(k)+(-24.68)e(k)+25e (k+1)

Step-by-step explanation:see the pictures attached

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The top surface of a desk has a length of 5.6 ft and the length is 4 times its width what is the width of the desk
IgorLugansk [536]

Answer:

<u>The width of the top surface of the desk is 1.4 feet.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Length of the top surface of a desk = 5.6 feet

Width of the top surface of a desk= x

2. Let's find the width of the top surface of the desk

Length of the top surface of a desk = Four times the width

5.6 = 4x

5.6/4 = 4x/4 (Dividing by 4 at both sides)

1.4 = x

<u>The width of the top surface of the desk is 1.4 feet.</u>

5 0
2 years ago
A Car is moving on a straight road with velocity 30m/s and is speeding up at constant rate and reaches a velocity of 90m/s. What
poizon [28]

Answer:

60m/s

Step-by-step explanation:

velocity of the while moving is 30 m/s and it becomes 90 m/s after speeding up at constant rate. so the average velocity of the journey is

[90+30] /2

=60 m/s

4 0
2 years ago
An anthropologist finds that a prehistoric bone contains less than 8.1% of the amount of Carbon-14 the bones would have containe
stealth61 [152]

Answer:

20,944 years

Step-by-step explanation:

The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years.  We are given the k value of .00012.  If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon.  What's left then is 8.1%.  Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal.  We can use the 8.1.  Here's the formula:

N(t)=N_{0} e^{-kt}

where N(t) is the amount left over after the decay occurs, N_{0} is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years.  Filling in accordingly,

8.1=100e^{-.00012t}

Begin by dividing the 100 on both sides to get

.081=e^{-.00012t}

Now take the natural log of both sides.  Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.

ln(.081)= -.00012t

Take the natual log of .081 on your calculator to get

-2.513306124 = -.00012t

Now divide both sides by -.00012 to get t = 20,944 years

4 0
2 years ago
A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experienc
garri49 [273]

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10      and   q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then   p = 12 / 30  = 0,4         q =  1 - 0,4    q  =  0,6

And  p*n  =  0,4 * 30  = 12            12 > 10

And  q*n  = 0,6 * 30   = 18            18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

6 0
2 years ago
Patient A receives 3 times the amount of a certain medication as Patient B. The two doses add to 200 milligrams. What amount of
EastWind [94]

Answer:

Patient A - 150 mg

Patient B - 50 mg

Step-by-step explanation:

Since patient A gets three times more, 50 times 3 is 150. 150 plus 50 is 200, therefore, patient A gets 150 mg and patient B gets 50 mg. I hope this helps :)

5 0
2 years ago
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