4 years ago

What is a example of an irrational ?

Mathematics

2 answers:

Mazyrski [523]4 years ago

3 0

Answer:

$\pi \: \: \ \sqrt{2} \: \: \sqrt{72 } \: \: \: \: 9.2434871...$

Mariulka [41]4 years ago

3 0

The answer is shown in the picture below

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lys-0071 [83]

Lisa made up to 2230 stamps

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4 years ago

A particle moves along the x–axis so that at time t its position is given by x(t) = (t+1)(t–3)3. For what values of t is the vel

rosijanka [135]

I'll assume that's an exponent at the end there:

$x(t) = (t+1)(t-3)^3$

The first derivative gives the velocity. The second derivative gives the acceleration; increasing velocity is the same as positive acceleration. So we want to find when the second derivative is positive.

Let's see if we can use $d(uv) = u\, dv + v\, du$ to avoid multiplying this out.

$x'(t) = 3 (t+1)(t-3)^2 + (t-3)^3$

That worked; let's do it again:

$x''(t) = 3( 2(t+1)(t-3) + (t-3)^2) + 3(t - 3)^2$

$x''(t) = 3(t-3) ( 2(t+1) + (t-3) + (t - 3) ) = 3(t-3)(4t-4)=12(t-1)(t-3)$

That's a nice parabola. It's zero or negative for $1 \le t \le 3$ so positive everywhere else:

Answer: Increasing velocity when t < 1 or t > 3

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3 years ago

What percent would be equivalent to \frac{8}{10} 8 10 ?

Dmitry_Shevchenko [17]

$\bf \cfrac{8}{10}\implies 8\div 10\implies \stackrel{\textit{decimal}}{0.8}\implies \stackrel{\textit{to make it a percent}}{0.8\cdot 100}\implies \stackrel{\%}{80}$