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358
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1 |
Objective Questions
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2 |
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3 |
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4 |
.. A mininum of 8 questions here (along with answers)
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5 |
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6 |
1. How do you define a name 'y' as a symbol?
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8 |
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Answer: var('y')
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10 |
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2. List out some constants pre-defined in sage?
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12 |
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13 |
Answer: pi, e ,euler_gamma
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14 |
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15 |
3. List the functions for differentiation and integration in sage?
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16 |
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17 |
Answer: diff and integral
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4. Get the value of pi upto precision 5 digits using sage?
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20 |
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21 |
Answer: n(pi,5)
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22 |
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5. Find third order differential of function.
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24 |
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f(x)=sin(x^2)+exp(x^3)
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27 |
Answer: diff(f(x),x,3)
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28 |
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6. What is the function to find factors of an expression?
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30 |
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Answer: factor
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32 |
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7. What is syntax for simplifying a function f?
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34 |
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Answer f.simplify_full()
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36 |
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8. Find the solution for x between pi/2 to pi for the given equation?
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38 |
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sin(x)==cos(x^3)+exp(x^4)
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find_root(sin(x)==cos(x^3)+exp(x^4),pi/2,pi)
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41 |
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9. Create a simple two dimensional matrix with two symbolic variables?
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var('a,b')
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A=matrix([[a,1],[2,b]])
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46 |
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47 |
Larger Questions
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48 |
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49 |
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50 |
.. A minimum of 2 questions here (along with answers)
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51 |
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52 |
1.Find the points of intersection of the circles
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53 |
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54 |
x^2 + y^2 - 4x = 1
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x^2 + y^2 - 2y = 9
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56 |
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57 |
2. Integrate the function
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58 |
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59 |
x^2*cos(x)
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60 |
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61 |
between 1 to 3.
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