diff -r 88a01948450d -r d33698326409 getting_started_with_symbolics/questions.rst --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/getting_started_with_symbolics/questions.rst Wed Dec 01 16:51:35 2010 +0530 @@ -0,0 +1,61 @@ +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.