Explain why a unit conversion involves just multiplying by 1 Find the two forms of 1 that are equivalent to the conversion 1lb = 16oz

Solved

Show answers

Ответ:

SuperWoman9172

04.03.2020

Mathematics

The ladder is moving away from the wall at the bottom, namely dx/dt
at a rate of 0.5 m/s, now... when it's 6m away from the wall, it has been moving for 12seconds already then, at 0.5ms, you need 12s to get 6meters away, thus x = 6

the ladder is moving downwards, namely dy/dt
at a rate of 0.375 m/s, in 12seconds, it has moved then 4.5meters, thus y = 4.5

so hmmm, notice, the ladder is sliding down and away from the wall, but the ladder itself itself elongating or shrinking, so is a constant

let us use the pythagorean theorem for that, notice picture below
thus

$\bf r^2=x^2+y^2\\\\
-----------------------------\\\\
2r=2x\frac{dx}{dt}+2y\frac{dy}{dt}\impliedby \textit{taking common factor }2
\\\\\\
r=x\frac{dx}{dt}+y\frac{dy}{dt}\qquad 
\begin{cases}
\frac{dy}{dt}=0.375\\\\
\frac{dx}{dt}=0.5\\\\
x=6\\
y=4.5\\\\
r=ladder
\end{cases}
\\\\\\
\left.\cfrac{}{} r \right|_{x=6}\implies ?$

pretty sure is very obvious :)

The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. at the moment when the botto

The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. at the moment when the botto

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice