Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 2, Problem 2.4PE
(Convert pounds into kilograms) Write a
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Write a program to calculate the function sin(x) or cos(x) using a Taylor series expansion around the point 0. In other words, you will program the sine or cosine function yourself, without using any existing solution. You can enter the angles in degrees or radians. The program must work for any input, e.g. -4500° or +8649°. The function will have two arguments:
float sinus(float radians, float epsilon);
For your own implementation, use one of the following relations (you only need to program either sine or cosine, you don't need both):
Tip 1: Of course, you cannot calculate the sum of an infinite series indefinitely. You can see (if not, look in the program) that the terms keep getting smaller, so there will definitely be a situation where adding another term will not change the result in any way (see problem 1.3 – machine epsilon). However, you can end the calculation even earlier – when the result changes by less than epsilon (a pre-specified, sufficiently small number, e.g.…
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Another definition:Machine epsilon is the "distance" between the number 1 and its immediate right neighbor.
We work in binary (decimal is in parentheses):
1 + 0,1 = 1,1 (1 + 1/2 = 1,5)
1 + 0,01 = 1,01 (1 + 1/4 = 1,25)
1 + 0,001 = 1,001 (1 + 1/8 = 1,125)
then, due to the limited accuracy of the computer at a certain number of decimal places, a situation arises where 1 + 0.0…001 = 1 (instead of the correct 1.0…001). Then the previous number 0.0…01 is called the machine epsilon . It is obvious that its value may be different on different computers. However, the machine…
Write a program that performs a rotational bit shift to the right for a positive integer. The user enters a number, the number of bits to shift (and, if you want, the direction of the shift, but right is enough).
Example:The number 9 (in binary form 1001) when rotated to the right by 1 bit becomes 1100.
Tip : A bit rotation (also known as a cyclic shift) is an operation in which the bits in a binary number are shifted a certain number of places to the right or left, with bits that “fall out” at one end being returned to the opposite end. So, start with a bit shift operation. Write a few examples on paper before programming.Tip : Use the unsigned int data type.You can get the number of bits of this data type as follows: int bit_count = sizeof (unsigned int ) * 8
Chapter 2 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 2.2 - Identify and fix the errors in the following code:...Ch. 2.3 - How do you write a statement to let the user enter...Ch. 2.3 - Prob. 2.3.2CPCh. 2.4 - Prob. 2.4.1CPCh. 2.5 - Identify and fix the errors in the following code:...Ch. 2.6 - Identify and fix the errors in the following code:...Ch. 2.7 - Prob. 2.7.1CPCh. 2.8 - Prob. 2.8.1CPCh. 2.8 - Translate the following algorithm into Java code:...Ch. 2.9 - Prob. 2.9.1CP
Ch. 2.9 - Prob. 2.9.2CPCh. 2.9 - Prob. 2.9.3CPCh. 2.9 - Prob. 2.9.4CPCh. 2.9 - Prob. 2.9.5CPCh. 2.9 - Prob. 2.9.6CPCh. 2.9 - Write a statement to display the result of 23.5.Ch. 2.9 - Suppose m and r are integers. Write a Java...Ch. 2.10 - How many accurate digits are stored in a f1oat or...Ch. 2.10 - Prob. 2.10.2CPCh. 2.10 - Prob. 2.10.3CPCh. 2.10 - Which of the following are correct literals?...Ch. 2.11 - How would you write the following arithmetic...Ch. 2.12 - Prob. 2.12.1CPCh. 2.13 - Prob. 2.13.1CPCh. 2.14 - Which of these statements are true? a. Any...Ch. 2.14 - Show the output of the following code: int a = 6;...Ch. 2.15 - Prob. 2.15.1CPCh. 2.15 - Prob. 2.15.2CPCh. 2.15 - Show the following output: float f =12.5F; int i =...Ch. 2.15 - If you change (int) (tax 100) / 100.0 to (int)...Ch. 2.15 - Prob. 2.15.5CPCh. 2.15 - Write an expression that rounds up a double value...Ch. 2.16 - How would you write the following arithmetic...Ch. 2.17 - Show the output of Listing 2.10 with the input...Ch. 2.18 - Can you declare a variable as int and later...Ch. 2.18 - Prob. 2.18.2CPCh. 2.18 - Will overflow cause a runtime error?Ch. 2.18 - Prob. 2.18.4CPCh. 2 - (Convert Celsius to Fahrenheit) Write a program...Ch. 2 - (Compute the volume of a cylinder) Write a program...Ch. 2 - (Convert feet into meters) Write a program that...Ch. 2 - (Convert pounds into kilograms) Write a program...Ch. 2 - (Financial application: calculate tips) Write a...Ch. 2 - (Sum the digits in an integer) Write a program...Ch. 2 - (Find the number of years) Write a program that...Ch. 2 - (Current time) Listing 2.7. ShowCurrentTime.java,...Ch. 2 - (Physics: acceleration) Average acceleration is...Ch. 2 - (Science: calculating energy) Write a program that...Ch. 2 - (Population projection) Rewrite Programming...Ch. 2 - (Physics: finding runway length) Given an...Ch. 2 - (Financial application: compound value) Suppose...Ch. 2 - (Health application: computing BMI) Body Mass...Ch. 2 - (Geometry: distance of two points) Write a program...Ch. 2 - (Geometry: area of a hexagon) Write a program that...Ch. 2 - (Science: wind-chill temperature) How cold is it...Ch. 2 - (Print a table) Write a program that displays the...Ch. 2 - (Geometry: area of a triangle) Write a program...Ch. 2 - (Financial application: calculate interest) If you...Ch. 2 - (Financial application: calculate future...Ch. 2 - (Financial application: monetary units) Rewrite...Ch. 2 - (Cost of driving) Write a program that prompts the...
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