An office remodeling job takes 5 & 1/2 days to complete. Before working

Mathematics

1 answer:

Oksana_A [137]3 years ago

3 0

Answer: The percent of the estimated time is the actual time is about 14%.

Step-by-step explanation:

As per given,

Actual time of completing the job = $5\dfrac{1}{2}\text{ days}=\dfrac{11}{2}\text{ days}$

Estimated time for completing the job = $4\dfrac{3}{4}\ \text{days}=\dfrac{19}{4}\ \text{days}$

The percentage error is given by:-

$\%\text{ error}= \dfrac{|\text{Estimated-Actual}|}{\text{Actual}}\times100$

$=\dfrac{|\dfrac{19}{4}-\dfrac{11}{2}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{19-22}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{-3}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{\dfrac{3}{4}}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{3\times2}{11\times4}\times100\\\\\approx14\%$

The percent of the estimated time is the actual time is about 14%.

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

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so that the particular solution is

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