By Razvan A. Mezei

"An advent to SAGE Programming: With functions to SAGE Interacts for Numerical tools emphasizes tips to enforce numerical equipment utilizing SAGE Math and SAGE Interacts and likewise addresses the basics of desktop programming, together with if statements, loops, features, and interacts"--

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**Extra resources for An introduction to SAGE programming : with applications to SAGE interacts for mathematics**

**Example text**

If right now is 9:01 pm, what time will it be 12,345 hours later? (11) How many hours are there in 10,000 minutes? If right now is 7:01 am, what time will it be exactly 10,000 minutes later? 26 USING SAGE MATH AS A CALCULATOR (12) How many hours are there in 12,345 minutes? If right now is 9:01 pm, what time will it be exactly 12,345 minutes later? (13) Use Sage code to print at least 10 digits for the decimal representation of the golden ratio. (14) Use Sage code to print at least 10 digits for the decimal representation of e.

30) Correct the following Sage code so you can run it: print 'ln(7) = '+ ln(7). (31) Solve the following equation: 3x3 − 4x + 5 = 9. (32) Solve the following equation: 3x2 − 4x + 5 = 19. (33) Find an approximate solution for the following equation: 3x25 − 4x + 5 = 19. Note: You will need to find an interval first. 27 COMPUTATIONS (34) Find an approximate solution for the following equation: cos(x) = ????4 . Note: You will need to find an interval first. (35) Find an approximate solution for the following equation: sin2 (x) = ????4 .

15) Determine whether 22015 − 1 is prime or not. (16) Determine whether 42015 − 1 is prime or not. (17) Factor 3123 − 1. (18) Factor 5123 − 1. (19) Find the lcm and gcd for the following pair of whole numbers: 2030 − 1, 2015. (20) Find the lcm and gcd for the following pair of whole numbers: 305 − 1, 2200 . (21) Find the list of all divisors of 280 − 1. (22) Find the list of all divisors of 350 − 7. (23) What is the result of each of the following expressions? 0 • 9%6 (24) What is the result of each of the following expressions?