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sammy [17]
3 years ago
14

Y=x^(2)-12x+36 Please explain step by step

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Step-by-step explanation:

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Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t
rodikova [14]
\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}

The distance traveled by the particle is given by the definite integral

\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

where C is the path of the particle. The distance is then

\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi
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3 years ago
Joseph served 18 customers in 42 minutes. Approximately how many customers would he serve in 2 hours if he continued at this rat
zhenek [66]
Okay so if he serves 18 customers in 42 minutes divide 18 by 42 and you get the amount of customers he serves per min which is 0.42857413 then multiply that by 120 since 2 hours add up to 120 minutes and you get 51.43
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3 years ago
6) The population of rats doubles every 8 months. If there were 23 rats to start how many
taurus [48]

Answer:

736

Step-by-step explanation:

7 0
3 years ago
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How many persons are in the line? Ashley is in the line to buy a ticket. There are twice as many people in front of Ashley as th
Klio2033 [76]

Answer:

I am pretty sure there are 10 people in line.

Since Ashley is the seventh person in line, we can deduce that <u><em>there are 6 people in front of her</em></u>.

Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.

6/2 is 3, so <em>there are </em><u><em>3 people behind Ashley</em></u><em>. </em>

Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.

9 + 1 = 10, so <u><em>there are 10 people in the line</em></u>.

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3 years ago
PLEASE HELP ME QUICK!!
9966 [12]

Answer: yes kevin skied as long as lori

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2 years ago
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