About initial programming in python: Consider the series: (-1)" 1 1 1 1 =1- 3 2n | 1 n=0 whose sum converges to M 4 , That is: II lim s, = a) Write a function that, given n, calculates the sum of the series up to term n. b) Write a function that calculates the sum of the series with an error of less than O.01, that is, calculate the sum of the series series such that |Sn-N/4| < O. 01. Your function must also return the number of terms necessary to reach this error, that is, your function will return a tuple with the two calculated values. Important: It is mandatory to use the function defined in the previous item. Hint: math.fabs(number) returns the absolute value (module) of a number.

About initial programming in python: Consider the series: (-1)" 1 1 1 1 =1- 3 2n | 1 n=0 whose sum converges to M 4 , That is: II lim s, = a) Write a function that, given n, calculates the sum of the series up to term n. b) Write a function that calculates the sum of the series with an error of less than O.01, that is, calculate the sum of the series series such that |Sn-N/4| < O. 01. Your function must also return the number of terms necessary to reach this error, that is, your function will return a tuple with the two calculated values. Important: It is mandatory to use the function defined in the previous item. Hint: math.fabs(number) returns the absolute value (module) of a number.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section: Chapter Questions

Problem 7PP: (Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is...

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(Numerical) a. The following is an extremely useful programming algorithm for rounding a real number to n decimal places: Step 1: Multiply the number by 10n Step 2: Add 0.5 Step 3: Delete the fractional part of the result Step 4: Divide by 10n For example, using this algorithm to round the number 78.374625 to three decimal places yields: Step1:78.374625103=78374.625 Step2:78374.625+0.5=78375.125 Step3:Retainingtheintegerpart=78375Step4:78375dividedby103=78.375 Using this algorithm, write a C++ function that accepts a user-entered value and returns the result rounded to two decimal places. b. Enter, compile, and run the program written for Exercise 11a.
(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.
(Statics) A beam’s second moment of inertia, also known as its area moment of inertia, is used to determine its resistance to bending and deflection. For a rectangular beam (see Figure 6.6), the second moment of inertia is given by this formula: Ibh3/12 I is the second moment of inertia (m4). b is the base (m). h is the height (m). a. Using this formula, write a function called beamMoment() that accepts two double- precision numbers as parameters (one for the base and one for the height), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 4a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.
Transcribed Image Text About initial programming in python: Consider the series: 8. 1)" 1 = 1- 3 1 1 1 2n | 1 n=0 whose sum converges ton/4 That is: П lim s, = a) Write a function that, given n, calculates the sum of the series up to term n. b) Write a function that calculates the sum of the series with an error of less than O.01, that is, calculate the sum of the series series such that |Sn-N/4| < O. 01. Your function must also return the number of terms necessary to reach this error, that is, your function will return a tuple with the two calculated values. Important: It is mandatory to use the function defined in the previous item. Hint: math.fabs(number) returns the absolute value (module) of a number.
Programming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.
Programming Language: Python 4. Write a Python function that takes a positive integer n as an argument and returns the largest power of two greater than or equal to n.
in C++ program please: part a) According to Wikipedia: “The International Collegiate Programming Contest, known as the ICPC, is an annual multi-tiered competitive programming competition among the universities of the world.” Moreover, the participants of the contest should be no older than 24. Complete the following function which takes as input two parameters: the current year and the birth year of a student. The function should return the age of the person given the parameters. int calculateAge(int current_year, int birth_year) { part b) The teacher wants to determine if a group of students is eligible for this competition. Complete the following piece of code considering that the age of these students are stored in the studentsAge array and use the calculateAge function to determine the eligibility. Note: solution should use calculateAge ! int main() { int studentsAge[10]; #your answer for (int i = 0; i < 10; i++) { cin >> studentsAge[i]; # your answer Your program…
in C++ program please: part a) According to Wikipedia: “The International Collegiate Programming Contest, known as the ICPC, is an annual multi-tiered competitive programming competition among the universities of the world.” Moreover, the participants of the contest should be no older than 24. Complete the following function which takes as input two parameters: the current year and the birth year of a student. The function should return the age of the person given the parameters. int calculateAge(int current_year, int birth_year) { part b) The teacher wants to determine if a group of students is eligible for this competition. Complete the following piece of code considering that the age of these students are stored in the studentsAge array and use the calculateAge function to determine the eligibility. Note: solution should use calculateAge ! int main() { int studentsAge[10]; #your answer for (int i = 0; i < 10; i++) { cin >> studentsAge[i]; # your answer Your program…
Where is the void function for circumference
Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…
Assignment Write a program to calculate n! for a given number n and perform the simple calculator operations. The valid operations of the calculator are: + add - sub * mul I div The program must contain a function fact with one input parameter that returns the factorial of a number, a function add that performs the addition of two numbers, a function sub that performs the subtraction of two numbers, a function mul that performs the multiplication of two numbers, a function div that performs the division of two numbers. The program must also check for bad input data. Make sure when you pass parameters you pass the addresses (not the value). • All function return type must be of type void. • Take inputs in main function. • Pass the addresses of the operands and the address of the result to each function. Output must be displayed as follows: 1: Addition 2: Subtraction 3: Multiplication 4: Division 5: Factorial 6: Quit Enter the choice => 1 Enter two numbers => 2, 3 Sum => 5
iv) Define a Python function that takes an integer n as the parameter and returns true if n is in the range [10, 100]. Otherwise, the function should return false.