--- a/using-sage/questions.rst Wed Nov 17 23:24:57 2010 +0530
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,99 +0,0 @@
-Objective
----------
-
-1. How do you find the limit of the function ``x/sin(x)`` as ``x`` tends to
- ``0`` from the negative side.
-
- Answer: lim(x/sin(x), x=0, dir="below")
-
-#. Find the third differential of the function ``exp(sin(x)*cos(x^2))``
-
- Answer: diff(exp(sin(x)*cos(x^2), x, 3)
-
-#. Solve the system of linear equations::
-
- x-2y+3z = 7
- 2x+3y-z = 5
- x+2y+4z = 9
-
- Answer::
-
- A = Matrix([[1, -2, 3],
- [2, 3, -1],
- [1, 2, 4]])
-
- b = vector([7, 5, 9])
-
- solve_right(A, b)
-
-#. How do you get the factorized form of ``x^4 - 4x^2 + x^3 + 2x + 7``
-
- Answer::
-
- factor( x^4 + x^3 - 4*x^2 + 2*x + 7 )
-
-#. list all the primes between 2009 and 2900
-
- Answer: prime_range(2009, 2901)
-
-#. Which function is used to check primality
-
- a. isPrime
- #. isprime
- #. is_prime
- #. prime
-
- Answer: is_prime
-
-#. How do you list all the combinations of ``[1, 2, 3, 4]``
-
-
- Answer::
-
- c1 = Combinations([1, 2, 3, 4])
- c1.list()
-
-#. How do you list all the permutations of ``[1, 3, 2, 3]``
-
- Answer::
-
- p1 = Permutations([1, 3, 2, 3])
- p2.list()
-
-
-Programming
------------
-
-1. Obtain the sum of primes between 1 million and 2 million.
-
- Answer::
-
- prime_sum = 0
- for i in range(1000001, 2000000, 2):
- if is_prime(i):
- prime_sum += i
-
- prime_sum
-
- OR
- ::
-
- sum(prime_range(1000000, 2000000))
-
-2. ``graphs.WorldMap()`` gives the world map in the form of a
- graph. ::
-
- G = graphs.WorldMap()
- G.vertices()
-
-
- Suppose, I wish to go from India to France by Road, find out the
- least number of Visas that I'll have to obtain.
-
- Answer::
-
- G.distance("India", "France")
-
-
-
-