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bagirrra123 [75]
3 years ago
7

The distance from the earth to the moon is approximately 381464km. Assuming the moon has a circular orbit around the earth, find

the distance the moon travels in orbiting the earth through an angle of 1.17 radians.

Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Check the picture below.

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Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?
Ivanshal [37]

Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

t^2y''-ty'+y=0 where t is not equal to zero

We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find  the solutions are independent or dependent.

To find  the solutions are independent or dependent we use wronskain

w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let y_1=t,y_2=t ln t

y'_1=1,y'_2=lnt+1

w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}

w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t where t is not equal to zero.

Hence,the wronskian  is not equal to zero .Therefore, the set of solutions is independent.

Hence, the set {t , tln t} form a fundamental set of solutions for given equation.

6 0
3 years ago
Which best describes the transformation from the graph of f(x) = x2 to the graph of
RoseWind [281]

Transformations

(x-3)...: That means the graph shifted 3 units right.

...-1: that means the graph shifted 1 unit down.

answer: 3 units right, and 1 down

8 0
2 years ago
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Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale
Dafna1 [17]

Answer:

5.5hr

Step-by-step explanation:

Distance=550Km

Speed=100Km/hr

Speed=(Distance/Time)

Time=(Distance/Speed)

Time=550/100=5.5hr

8 0
3 years ago
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Find the circumference of a circle with a radius of 11.15 cm
Georgia [21]

Answer:

390.377

Step-by-step explanation:

pi*r^2

6 0
2 years ago
Find the slope of the line through each pair of points. (15, 8), (-1, 15).
Natalija [7]

Answer:

22.6

Step-by-step explanation:

15-1   8-15

14^2     7^2

196+49

245

15.6

8 0
2 years ago
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