Z3 Exercises
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1. Given a number n, find all roots from 1 to n of a given number N. 2. Add these up. 3. Find the sum of 1 to n for all even numbers from 1 to 100. 4. Find the factorial of reciprocals of a series of numbers from 1 to a large numbers and see how it compares to the value of e. 5. Create 3x4x5x6 array and fill with numbers 1 to 100 6. Do same and fill with random numbers. 7. Do same and fill with cube root of numbers 1 to 100 8. Create an equation or formula for surface area of a cylinder. Try to do with units. Do this as a function that converts and does it on units supplied by user automatically if possible. 9. Create a function that given the radius and height of a cylinder, returns an array of radius height surface area and volume. Use Greek letters to be similar to formula that are generally used. 10. Do the same for a cone as equations and as a function. 11. Use array programming when needed. Notations can be as close to what are given in normal calculations in real situations. 12. A helium balloon with an internal pressure of 1.00 atm and a volume of 4.50 L at 20.00 C is released. What volume will the balloon occupy at an altitude where the pressure is 0.600 atm and the temperature is –20.00 C? 13. How many moles of gas occupy 98 L at a pressure of 2.8 atmospheres and a temperature of 292 K? 14. Following is precipitation data 2016 Day 1 Day 2 Day 3 Day 4 January 0 0 0 0 February 4 12 4 3 March 42 33 32 42 April 22 12 22 22 May 21 16 12 14 June 4 5 3 2 For the given days, Find the total precipitation for each month. Which day was the precipitation the most? Find total precipitation for the all months. 15. A table has the following values. Name Gender Age Kids John m 3 5 Mary f 12 4 Sue f 33 2 Kim f 12 1 Sam m 6 2 Extract rows having 2nd column as f Find the age of eldest female Find average number of kids of males Create a table with data sorted based on age 16. Find Square root of 1/2 + 0.0916 - absolute value of (-7) + natural logarithm of 10. Round this number to 2 decimals. 17. List SIN, COS, TAN values of 0, 30, 60, 90, 120, 150, 180, 210... to 360 degrees 18. Create an 4x4 matrix and fill with prime numbers between 100 and 10000