C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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Chapter 6, Problem 7PP
(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is
where
Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of
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(Perkovic, Problem 6.31b) Write a function testCraps that accepts a positive integer n as an
input, simulates n games and craps, and returns the fraction of games the player won.
⚫ the testCraps function should not make dice rolls directly, instead...
testCraps function should call the craps function repeatedly and keep track of the results
• if you your craps and testCraps function simulate the game correctly without any extra
rolls, you should be able to hit the results below exactly
1 >>> random.seed(0)
2
>>> testCraps (10000)
3
0.5
4
>>> random.seed(1)
5
>>> testCraps (10000)
6
7
8
0.4921
>>> [(i, random.seed(i), testCraps (100*i)) for i in range(1,10)]
[(1, None, 0.49), (2, None, 0.46), (3, None, 0.47333333333333333), (4, None,
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0.4514285714285714), (8, None, 0.48), (9, None, 0.4855555555555556)]
9
>>
(Single Digit) Complete the definition of the following function:singleDigit :: Int -> Int singleDigit takes a positive integer, num, as input and returns a digit between 0 and 9 as the output. The output is computed as follows: sum all the digits in num to obtain a result; if this result is less than 10 then result is the answer; otherwise take the result and apply the same procedure (i.e. sum its digits and compute a result, and so on). Here is a sample run:*Main> singleDigit 37425 3 *Main> singleDigit 9876543 6 Here is how the above answers are computed by hand:singleDigit 37425 => 3+7+4+2+5 = 21 => 2+1 = 3 singleDigit 9876543 => 9+8+7+6+5+4+3 = 42 => 4+2 = 6
(Perfect Numbers) An integer is said to be a perfect number if the sum of its divisors, including 1 (but not the number itself), is equal to the number. For example, 6 is a perfect number, because 6=1+2+3. Write a functionisPerfect that determines whether parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the divisors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.
Chapter 6 Solutions
C++ for Engineers and Scientists
Ch. 6.1 - (Practice) For the following function headers,...Ch. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - (Statics) A beam’s second moment of inertia, also...Ch. 6.1 - (Statics) An annulus is a cylindrical rod with a...Ch. 6.1 - Prob. 6ECh. 6.1 - (Physics) Buoyancy is the upward force a liquid...Ch. 6.1 - (Numerical) a. Write a C++ program that accepts an...Ch. 6.1 - (Practice) a. Write a function that produces a...Ch. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.2 - Prob. 1ECh. 6.2 - (Practice) For the following function headers,...Ch. 6.2 - (General math) a. Write a function named...Ch. 6.2 - (General math) a. The volume, V, of a cylinder is...Ch. 6.2 - Prob. 6ECh. 6.2 - Prob. 10ECh. 6.2 - (Numerical) a. The following is an extremely...Ch. 6.2 - Prob. 12ECh. 6.2 - Prob. 13ECh. 6.3 - Prob. 2ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.4 - (Practice) The volume, v, and side surface area,...Ch. 6.4 - (Practice) Write a C++ program that accepts the...Ch. 6.4 - (Simulation) Write a program to simulate the roll...Ch. 6.4 - (Numerical) Write a program that tests the...Ch. 6 - Prob. 1PPCh. 6 - Prob. 2PPCh. 6 - Prob. 6PPCh. 6 - (Numerical) Heron’s formula for the area, A, of a...Ch. 6 - Prob. 10PP
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