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yan [13]
3 years ago
15

Patricia the Pig built a very strong house of steel. The steel-house can withstand wind speeds of up to 4928 km per hour. Choose

the best approximation of the highest wind speed that Patricia's steel-house can withstand. Choose 1 answer. A. 5•10^3 km per hour. B. 5•10^4 km per hour.
Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0

Answer:

The correct answer is option A.

Step-by-step explanation:

Rules of approximation:

  1. If the rightmost digit to be removed is more than 5, the preceding number is increased by one.
  2. If the rightmost digit to be removed is less than 5, the preceding number is not changed.
  3. If the rightmost digit to be removed is 5, then the preceding number is not changed if it is an even number but it is increased by one if it is an odd number.

Speed withstand by the steel house = 4928 km/hour

4928 km/h \approx 5000 km/h

The approximate value of 4928 km/h is 5000 km/h.

5000 km/h=5\times 10^3 km/h

babunello [35]3 years ago
4 0

Answer:

A

Step-by-step explanation:

5*10^3=5*1000=5000

5*10^4=5*10000=50000

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Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

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For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

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x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

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