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.