--- a/using-sage/questions.rst Mon Oct 11 22:52:06 2010 +0530
+++ b/using-sage/questions.rst Mon Oct 11 23:32:30 2010 +0530
@@ -1,17 +1,81 @@
Objective
---------
-.. A mininum of 8 questions here.
+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::
-1. Question 1
-2. Question 2
-3. Question 3
+ 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
-----------
-.. A minimum of 2 questions here.
+1. What is the out put of the following code::
+
+ c1 = Combinations([1, 2, 3, 4])
+ c2 = Combinations([1, 2, 4, 3])
+
+ l1 = c1.list()
+ l2 = c2.list()
-1. Programming Assignment 1
-2. Programming Assignment 2
+ for i in l2:
+ l1.remove(i)
+
+ print l2
+
+ Answer: []
+