Exercise 4A Write functions to perform the following tasks efficiently. Do not change the function names in the template file. (1) Take x and return x³ – x². (2) Take two inputs x and y and return their sum and product, in that order. E.g. inputs 3, 4 should return 7, 12. (3) Take a list of numbers and returns their arithmetic mean, geometric mean and harmonic mean, in that order. For example, the input [4,16] should return 10.0, 8.0, 6.4. (4) Take an integer n and returns a list of the first n of the Narayana's cows sequence Cn. (This is a variant of the Fibonacci numbers, defined by C₁ = C₂ = C3 = 1, and C₁ = Cn-1 +Cn-3 for n ≥ 4.) (5) Take a pair r ≥ 0 and 0 representing a point's polar coordinates and return a pair x, y representing its Cartesian coordinates. (6) Take a pair x, y representing a point's Cartesian coordinates and return a pair r, representing its polar coordinates, where 0 = [0, 2π). Check that your function works for (x, y) in all quadrants.
Exercise 4A Write functions to perform the following tasks efficiently. Do not change the function names in the template file. (1) Take x and return x³ – x². (2) Take two inputs x and y and return their sum and product, in that order. E.g. inputs 3, 4 should return 7, 12. (3) Take a list of numbers and returns their arithmetic mean, geometric mean and harmonic mean, in that order. For example, the input [4,16] should return 10.0, 8.0, 6.4. (4) Take an integer n and returns a list of the first n of the Narayana's cows sequence Cn. (This is a variant of the Fibonacci numbers, defined by C₁ = C₂ = C3 = 1, and C₁ = Cn-1 +Cn-3 for n ≥ 4.) (5) Take a pair r ≥ 0 and 0 representing a point's polar coordinates and return a pair x, y representing its Cartesian coordinates. (6) Take a pair x, y representing a point's Cartesian coordinates and return a pair r, representing its polar coordinates, where 0 = [0, 2π). Check that your function works for (x, y) in all quadrants.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![Exercise 4A Write functions to perform the following tasks efficiently. Do not change the function names in
the template file.
(1) Take x and return x³ – x².
(2) Take two inputs x and y and return their sum and product, in that order. E.g. inputs 3, 4 should return
7, 12.
(3) Take a list of numbers and returns their arithmetic mean, geometric mean and harmonic mean, in that
order. For example, the input [4,16] should return 10.0, 8.0, 6.4.
(4) Take an integer n and returns a list of the first ʼn of the Narayana's cows sequence Cn. (This is a variant
of the Fibonacci numbers, defined by C₁ = C2 = C3 = 1, and C₂ = Cn−1+Cn_3 for n ≥ 4.)
(5) Take a pair r ≥ 0 and 0 representing a point's polar coordinates and return a pair x, y representing its
Cartesian coordinates.
(6) Take a pair x, y representing a point's Cartesian coordinates and return a pair r, representing its polar
coordinates, where 0 = [0, 2π). Check that your function works for (x, y) in all quadrants.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F986f6c25-9d5d-4e3f-93bc-35b073c4428b%2F15c9bb07-7fc0-4c4a-8390-b155a748206b%2Fj7pc3t_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 4A Write functions to perform the following tasks efficiently. Do not change the function names in
the template file.
(1) Take x and return x³ – x².
(2) Take two inputs x and y and return their sum and product, in that order. E.g. inputs 3, 4 should return
7, 12.
(3) Take a list of numbers and returns their arithmetic mean, geometric mean and harmonic mean, in that
order. For example, the input [4,16] should return 10.0, 8.0, 6.4.
(4) Take an integer n and returns a list of the first ʼn of the Narayana's cows sequence Cn. (This is a variant
of the Fibonacci numbers, defined by C₁ = C2 = C3 = 1, and C₂ = Cn−1+Cn_3 for n ≥ 4.)
(5) Take a pair r ≥ 0 and 0 representing a point's polar coordinates and return a pair x, y representing its
Cartesian coordinates.
(6) Take a pair x, y representing a point's Cartesian coordinates and return a pair r, representing its polar
coordinates, where 0 = [0, 2π). Check that your function works for (x, y) in all quadrants.
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