Recursive function for nth Fibonacci numbers: The recursive function for nth Fibonacci number is shown below: /* Function definition for compute nth Fibonacci number / int recursiveFibFunction(int n) { / If "n" is less than or equal to "1", then / if (n <= 1) //Return value of "n" return n; / Otherwise Recursively call the function "recursiveFibFunction" / return recursiveFibFunction(n-1) + recursiveFibFunction(n-2); } Explanation: The above function is used to compute the nth Fibonacci numbers. In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value. Otherwise, recursively call the function “recursiveFibFunction”. Complete executable code: The complete code is implemented for Fibonacci number is shown below: //Header file #include<iostream> //For standard input and output using namespace std; //Function declaration for "recursiveFibFunction" function int recursiveFibFunction(int n); //Main function int main () { //Initializes the number to "8" int number = 8; / Dispay fibonacci number by calling the function "recursiveFibFunction" / cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl; return 0; } / Function definition for compute nth Fibonacci number / int recursiveFibFunction(int n) { / If "n" is less than or equal to "1", then / if (n <= 1) //Return value of "n" return n; / Otherwise Recursively call the function "recursiveFibFunction" */ return recursiveFibFunction(n-1) + recursiveFibFunction(n-2); }

Question

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Answer 1

Expert Solution & Answer

Chapter 14, Problem 1P

Explanation of Solution

Recursive function for nth Fibonacci numbers:

The recursive function for nth Fibonacci number is shown below:

/* Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" /

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Explanation:

The above function is used to compute the nth Fibonacci numbers.

In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value.

Otherwise, recursively call the function “recursiveFibFunction”.

Complete executable code:

The complete code is implemented for Fibonacci number is shown below:

//Header file

#include<iostream>

//For standard input and output

using namespace std;

//Function declaration for "recursiveFibFunction" function

int recursiveFibFunction(int n);

//Main function

int main ()

{

       //Initializes the number to "8"

       int number = 8;

/ Dispay fibonacci number by calling the function "recursiveFibFunction" /

cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl;

       return 0;

}

/ Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" */

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Expert Solution & Answer

Sample Output

8th Fibonacci number is: 21

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9. Let L₁=L(ab*aa), L₂=L(a*bba*). Find a regular expression for (L₁ UL2)*L2. 10. Show that the language is not regular. L= {a":n≥1} 11. Show a derivation tree for the string aabbbb with the grammar S→ABλ, A→aB, B→Sb. Give a verbal description of the language generated by this grammar.

Answer 2

Expert Solution & Answer

Chapter 14, Problem 1P

Explanation of Solution

Recursive function for nth Fibonacci numbers:

The recursive function for nth Fibonacci number is shown below:

/* Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" /

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Explanation:

The above function is used to compute the nth Fibonacci numbers.

In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value.

Otherwise, recursively call the function “recursiveFibFunction”.

Complete executable code:

The complete code is implemented for Fibonacci number is shown below:

//Header file

#include<iostream>

//For standard input and output

using namespace std;

//Function declaration for "recursiveFibFunction" function

int recursiveFibFunction(int n);

//Main function

int main ()

{

       //Initializes the number to "8"

       int number = 8;

/ Dispay fibonacci number by calling the function "recursiveFibFunction" /

cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl;

       return 0;

}

/ Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" */

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Expert Solution & Answer

Sample Output

8th Fibonacci number is: 21

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Answer 3

Expert Solution & Answer

Chapter 14, Problem 1P

Explanation of Solution

Recursive function for nth Fibonacci numbers:

The recursive function for nth Fibonacci number is shown below:

/* Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" /

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Explanation:

The above function is used to compute the nth Fibonacci numbers.

In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value.

Otherwise, recursively call the function “recursiveFibFunction”.

Complete executable code:

The complete code is implemented for Fibonacci number is shown below:

//Header file

#include<iostream>

//For standard input and output

using namespace std;

//Function declaration for "recursiveFibFunction" function

int recursiveFibFunction(int n);

//Main function

int main ()

{

       //Initializes the number to "8"

       int number = 8;

/ Dispay fibonacci number by calling the function "recursiveFibFunction" /

cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl;

       return 0;

}

/ Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" */

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Expert Solution & Answer

Sample Output

8th Fibonacci number is: 21

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Answer 4

Expert Solution & Answer

Chapter 14, Problem 1P

Explanation of Solution

Recursive function for nth Fibonacci numbers:

The recursive function for nth Fibonacci number is shown below:

/* Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" /

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Explanation:

The above function is used to compute the nth Fibonacci numbers.

In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value.

Otherwise, recursively call the function “recursiveFibFunction”.

Complete executable code:

The complete code is implemented for Fibonacci number is shown below:

//Header file

#include<iostream>

//For standard input and output

using namespace std;

//Function declaration for "recursiveFibFunction" function

int recursiveFibFunction(int n);

//Main function

int main ()

{

       //Initializes the number to "8"

       int number = 8;

/ Dispay fibonacci number by calling the function "recursiveFibFunction" /

cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl;

       return 0;

}

/ Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" */

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Expert Solution & Answer

Sample Output

8th Fibonacci number is: 21

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Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 14, Problem 1P

Explanation of Solution

Recursive function for nth Fibonacci numbers:

The recursive function for nth Fibonacci number is shown below:

/* Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" /

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Explanation:

The above function is used to compute the nth Fibonacci numbers.

In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value.

Otherwise, recursively call the function “recursiveFibFunction”.

Complete executable code:

The complete code is implemented for Fibonacci number is shown below:

//Header file

#include<iostream>

//For standard input and output

using namespace std;

//Function declaration for "recursiveFibFunction" function

int recursiveFibFunction(int n);

//Main function

int main ()

{

       //Initializes the number to "8"

       int number = 8;

/ Dispay fibonacci number by calling the function "recursiveFibFunction" /

cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl;

       return 0;

}

/ Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" */

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Expert Solution & Answer

Sample Output

8th Fibonacci number is: 21

Answer 8

Chapter 14, Problem 1P

Explanation of Solution

Recursive function for nth Fibonacci numbers:

The recursive function for nth Fibonacci number is shown below:

/* Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" /

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Explanation:

The above function is used to compute the nth Fibonacci numbers.

In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value.

Otherwise, recursively call the function “recursiveFibFunction”.

Complete executable code:

The complete code is implemented for Fibonacci number is shown below:

//Header file

#include<iostream>

//For standard input and output

using namespace std;

//Function declaration for "recursiveFibFunction" function

int recursiveFibFunction(int n);

//Main function

int main ()

{

       //Initializes the number to "8"

       int number = 8;

/ Dispay fibonacci number by calling the function "recursiveFibFunction" /

cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl;

       return 0;

}

/ Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" */

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Expert Solution & Answer

Sample Output

8th Fibonacci number is: 21

Answer 9

Chapter 14, Problem 1P

Explanation of Solution

Recursive function for nth Fibonacci numbers:

The recursive function for nth Fibonacci number is shown below:

/* Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" /

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Explanation:

The above function is used to compute the nth Fibonacci numbers.

In this function, first check the value of “n”. If the value of “n” is less than or equal to “1” that is value of “n” is either “1” or “0”, then returns the given “n” value.

Otherwise, recursively call the function “recursiveFibFunction”.

Complete executable code:

The complete code is implemented for Fibonacci number is shown below:

//Header file

#include<iostream>

//For standard input and output

using namespace std;

//Function declaration for "recursiveFibFunction" function

int recursiveFibFunction(int n);

//Main function

int main ()

{

       //Initializes the number to "8"

       int number = 8;

/ Dispay fibonacci number by calling the function "recursiveFibFunction" /

cout << number << "th Fibonacci number is: "<< recursiveFibFunction(number) << endl;

       return 0;

}

/ Function definition for compute nth Fibonacci number /

int recursiveFibFunction(int n)

{

       / If "n" is less than or equal to "1", then /

       if (n <= 1)

              //Return value of "n"

              return n;

/ Otherwise Recursively call the function "recursiveFibFunction" */

return recursiveFibFunction(n-1) + recursiveFibFunction(n-2);

}

Answer 10

Expert Solution & Answer

Sample Output

8th Fibonacci number is: 21

Answer 11

Expert Solution & Answer

Answer 12

Expert Solution & Answer

Answer 13

Ch. 14.1 - Prob. 1STE Ch. 14.1 - Prob. 2STE Ch. 14.1 - Prob. 3STE Ch. 14.1 - Prob. 4STE Ch. 14.1 - Prob. 5STE Ch. 14.1 - If your program produces an error message that...Ch. 14.1 - Write an iterative version of the function cheers...Ch. 14.1 - Write an iterative version of the function defined...Ch. 14.1 - Prob. 9STE Ch. 14.1 - Trace the recursive solution you made to Self-Test...

Explanation of Solution

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Chapter 14 Solutions