3 years ago

Order these numbers from least to greatest. 2.23 , 2.208 , 2.3 , 2.1031

Mathematics

2 answers:

Sati [7]3 years ago

8 0

2.1031,2.208,2.23,2.3

sleet_krkn [62]3 years ago

4 0

2.1031
2.208
2.23
2.3
Hope this helps :)

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Carson Rove is paid $6.39 for each table she assembles. Last week she assembled the following number of tables. What was Rove’s

antiseptic1488 [7]

The answer is $460.08

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4 years ago

Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.

Vladimir [108]

$\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt$
$\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k$

Given $\mathbf r(1)=\mathbf i+\mathbf j$ , we have

$\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12$

so that the particular solution is

$\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k$