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1. Given the following function that evaluates a polynomial whose coefficients are stored in an array: double evaluate(double[] coefficients, int n, double x) double result = coefficients[0]; double power = 1; for (inti = 1; i< n; i++) power = power * x; result = result + coefficients[i] * power; return result; Let n be the length of the array. Determine the number of additions and multiplications that are performed in the worst case as a function of n.
2. Suppose the number of steps required in the worst case for two algorithms are as follows: · Algorithm 1: f(n) = 3n 2 + 5 · Algorithm 2: g(n) = 53n + 9 Determine at what point algorithm 2 becomes more efficient than algorithm 1. Consider the following iterative function for problems 3 and 4. int triangular(int n) { int result = 0; for (inti = 1; i<= n; i ++) result += i; return result; }
3. Rewrite the function triangular using recursion and add preconditions and postconditions as comments.
4. Prove by induction that the recursive function you wrote in the previous problem is correct.
Write a program that gets 10 numbers and stores then in an array. Then sort (low to high) the number using a function.
write a c program that displays a table showing the price of silver and gold. the table will have three columns. the
Write down the c++ program which declares the array of 50 components of type float. Initialize array so that first 25 components are equal to square of the index variable.
supposes you have a directory whose name is stored in 'specs.file_dir' which contains a file whose name is stored in 'specs.file_name'.
write a program that grades an online quiz. The program asks the student to enter his/her answer to 10 multiple-choice questions. The program stores the student's responses in an array and then compares those responses to the correct answers to de..
Create a Person class that includes fields for last name, first name, and zip code. Include a default constructor that initializes last name, first name, and zip code to "X" if no arguments are supplied. Also include a display function. Write a ma..
Write a small loop that will determine the largest of these ten values. When the loop completes, the largest number will be in accumulator
The formula "x is a sum of two squares of natural numbers" can be written as ?y?z(x = y × y + z × z).
What are the three elements that must be included in a loop in order for the loop to successfully perform correctly - What will happen if these statements are not included? Provide examples.
Implement a function to recursively determine if a word is a palindrome. A palindrome is a word, phrase, number, or other sequence of symbols or elements, whose meaning may be interpreted the same way in either forward or reverse direction.
Implement a function called findMax that finds the maximum value in a 2¬dimensional array.
Write a program that will read in 5 numbers and add 10 to the first number, 20 to the second number, and 30 to the third number, 40 to the fourth and 50 to the 50th.
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