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Created page with " *Z^3 Language Documentation * << Back to Z3 home <pre> 1. Given a number n, find all roots from 1 to n of a given number N. 2. Add these up. 3. Find the su..."

*[[Z^3 Language Documentation]]

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<pre>

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.


</pre>


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