--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/symbolics/questions.rst Wed Oct 13 17:26:45 2010 +0530
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+Objective Questions
+-------------------
+
+.. A mininum of 8 questions here (along with answers)
+
+1. How do you define a name 'y' as a symbol?
+
+
+ Answer: var('y')
+
+2. List out some constants pre-defined in sage?
+
+ Answer: pi, e ,euler_gamma
+
+3. List the functions for differentiation and integration in sage?
+
+ Answer: diff and integral
+
+4. Get the value of pi upto precision 5 digits using sage?
+
+ Answer: n(pi,5)
+
+5. Find third order differential of function.
+
+ f(x)=sin(x^2)+exp(x^3)
+
+ Answer: diff(f(x),x,3)
+
+6. What is the function to find factors of an expression?
+
+ Answer: factor
+
+7. What is syntax for simplifying a function f?
+
+ Answer f.simplify_full()
+
+8. Find the solution for x between pi/2 to pi for the given equation?
+
+ sin(x)==cos(x^3)+exp(x^4)
+ find_root(sin(x)==cos(x^3)+exp(x^4),pi/2,pi)
+
+9. Create a simple two dimensional matrix with two symbolic variables?
+
+ var('a,b')
+ A=matrix([[a,1],[2,b]])
+
+Larger Questions
+----------------
+
+.. A minimum of 2 questions here (along with answers)
+
+
+2. Question 2