| author | Puneeth Chaganti <punchagan@fossee.in> |
| Wed, 01 Dec 2010 16:51:35 +0530 | |
| changeset 522 | d33698326409 |
| permissions | -rw-r--r-- |
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522
d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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1 |
Objective Questions |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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2 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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3 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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4 |
.. A mininum of 8 questions here (along with answers) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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5 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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6 |
1. How do you define a name 'y' as a symbol? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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7 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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8 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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9 |
Answer: var('y')
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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10 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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11 |
2. List out some constants pre-defined in sage? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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12 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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13 |
Answer: pi, e ,euler_gamma |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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14 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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15 |
3. List the functions for differentiation and integration in sage? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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16 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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17 |
Answer: diff and integral |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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18 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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19 |
4. Get the value of pi upto precision 5 digits using sage? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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changeset
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20 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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21 |
Answer: n(pi,5) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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22 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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23 |
5. Find third order differential of function. |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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24 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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25 |
f(x)=sin(x^2)+exp(x^3) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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26 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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27 |
Answer: diff(f(x),x,3) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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28 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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29 |
6. What is the function to find factors of an expression? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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30 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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31 |
Answer: factor |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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32 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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33 |
7. What is syntax for simplifying a function f? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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34 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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35 |
Answer f.simplify_full() |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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36 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
|
37 |
8. Find the solution for x between pi/2 to pi for the given equation? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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38 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
|
39 |
sin(x)==cos(x^3)+exp(x^4) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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40 |
find_root(sin(x)==cos(x^3)+exp(x^4),pi/2,pi) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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41 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
|
42 |
9. Create a simple two dimensional matrix with two symbolic variables? |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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43 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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44 |
var('a,b')
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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45 |
A=matrix([[a,1],[2,b]]) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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46 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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47 |
Larger Questions |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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48 |
---------------- |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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49 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
|
50 |
.. A minimum of 2 questions here (along with answers) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
|
51 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
|
52 |
1.Find the points of intersection of the circles |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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53 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
changeset
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54 |
x^2 + y^2 - 4x = 1 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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x^2 + y^2 - 2y = 9 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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56 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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57 |
2. Integrate the function |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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58 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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59 |
x^2*cos(x) |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff
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60 |
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d33698326409
Renamed all LOs to match with their names in progress.org.
Puneeth Chaganti <punchagan@fossee.in>
parents:
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61 |
between 1 to 3. |