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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)
+
+1.Find the points of intersection of the circles
+
+ x^2 + y^2 - 4x = 1 
+ x^2 + y^2 - 2y = 9  
+
+2. Integrate the function 
+
+x^2*cos(x)
+
+between 1 to 3.