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3 years ago

A community is considering raising funds to pay for improvements to the community swimming pool. To measure the

Mathematics

1 answer:

dezoksy [38]3 years ago

6 0

Answer:

All residents of the community

Step-by-step explanation:

Not sure if this is fully correct but the 2nd and 3rd option is wrong (Edg 2021)

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The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is t

Butoxors [25]

Answer:

0.44237 units

Step-by-step explanation:

Given

$v(t) = e^t*sin(e^t)$

$0 \le t \le \frac{\pi}{2}$

Required

The distance traveled in this interval

We have:

$v(t) = e^t*sin(e^t)$

The distance is calculated as:

$d(t) = \int\limits^a_b {v(t)} \, dt$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

Let:

$u = e^t$

Differentiate

$\frac{du}{dt} = e^t$

So:

$dt = e^{-t} du$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du$

Rewrite as:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du$

Integrate:

$d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0$

Substitute $u = e^t$

$d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0$

Split

$d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)]$

$d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)$

$d(t) = -0.09793 + 0.5403$

$d(t) = 0.44237$

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

4 0

3 years ago

What’s 2 1/4 + 3 2/3

antoniya [11.8K]

Answer:

The correct answer is 5 11/12

Step-by-step explanation:

HAVE A GOOD DAY!

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3 years ago

There were 375 students who said they rode the bus. This number represents 60% of the school enrollment. How many student are en

SVETLANKA909090 [29]

You would do 375 divided by 60% and get 6.25 if need to round to nearest whole it would be 6

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3 years ago

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Consider this system of equations and the partial solution below.

Inga [223]

The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.

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3 years ago

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What is the percent of $432

finlep [7]

Answer:

%23.15

Step-by-step explanation:

im not sure what u mean entirely

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3 years ago

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