Question

Check my answers: I"ll medal!

Answer 1

First question of homework:

Answer 2

Second set of question of homwork:
@Michele_Laino

Answer 3

Third set of question:
@Michele_Laino

Answer 4

All Correct

Answer 5

This question goes with the third set: Just didnt have enough room:

Answer 6

Final set of questions:

Answer 7

Now @Michele_Laino I know this is a lot but they should all be correct!

Answer 8

Only one or two of them isnt answered!

Answer 9

One of these questions is the one you worked with me on!

Answer 10

ok! Now let's strat from question of yesterday:
http://assets.openstudy.com/updates/attachments/56549274e4b0959c2b137f7d-howard-wolowitz-1448383304920-mathquestion.jpg

Answer 11

oops... start*

Answer 12

are you ready?

Answer 13

yes i am

Answer 14

ok! Here is the reasoning:
we have to conjecture a relationship like below:
\[y = A \cdot {B^x}\]
where \(y\) is the number of fishes, and \(x\) is the number of months

Answer 15

ok im with you so far

Answer 16

we can \(linearize\) such equation, by taking the logarithm of both sides, so we get:
\[\huge {\log _{10}}y = {\log _{10}}A + x{\log _{10}}B\]

Answer 17

please wait a moment....

Answer 18

correct

Answer 19

all corect

Answer 20

you didnt even look

Answer 21

yes i did

Answer 22

I'm very sorry!
I continue:
so we have to consider the subsequent table of values:

Answer 23

right so we consider the table and the values

Answer 24

now, using such data, we can to compute the values of the subsequent constant:
\(\log_{10}A, \;\log_{10}B\)

Answer 25

ok

Answer 26

in order to do that, we have to use the subsequent formulas:
\[\large \begin{gathered}
\Delta = N\sum {x_i^2} - {\left( {\sum {{x_i}} } \right)^2} \hfill \\
\hfill \\
{\log _{10}}A = \frac{{\sum {x_i^2} \cdot \sum {\left( {{{\log }_{10}}{y_i}} \right) - \sum {{x_i}} \cdot \sum {\left\{ {{x_i}\left( {{{\log }_{10}}{y_i}} \right)} \right\}} } }}{\Delta } \hfill \\
\hfill \\
{\log _{10}}B = \frac{{N\sum {\left\{ {{x_i}\left( {{{\log }_{10}}{y_i}} \right)} \right\}} - \sum {{x_i} \cdot \sum {\left( {{{\log }_{10}}{y_i}} \right)} } }}{\Delta } \hfill \\
\end{gathered} \]

Answer 27

sadly i cant draw it

Answer 28

Please, don't worry, I made such computation. Here are the results:

Answer 29

\[\Large {\log _{10}}A = 0.9011,\quad {\log _{10}}B = 0.6936\]

Answer 30

so, we can write the predicted function as below:
\[\huge {\log _{10}}y = 0.9011 + 0.6936 \cdot x\]
now, do you recognize such function, among your options?

Answer 31

no

Answer 32

please look at point #7

Answer 33

please, what do you think about the second option of question #7 ?

Answer 34

@Howard-Wolowitz

Answer 35

Please for the general formulas above, refer to this textbook:
\[\begin{gathered}
{\text{John}}\;{\text{R}}{\text{.}}\;{\text{Taylor}} \hfill \\
{\mathbf{An}}\;{\mathbf{Introduction}}\;{\mathbf{to\;Error}}\;{\mathbf{Analysis}}{\mathbf{.}} \hfill \\
{\mathbf{The}}\;{\mathbf{Study}}\;{\mathbf{of}}\;{\mathbf{Uncertainties}}\;{\mathbf{in}}\;{\mathbf{Physical}}\;{\mathbf{Measurements}} \hfill \\
{\text{University}}\;{\text{Science}}\;{\text{Books}}\;\left( {{\text{1982}}} \right) \hfill \\
\end{gathered} \]

Answer 36

can you check the rest of them for me

Answer 37

@tkhunny

Answer 38

dude i just need someone to check these that i did