Four exercises, each worth 20 points. For each exercise, the programming file in .java format (there are 2files in total: variance, twin primes)1) Calculate the variance, to 2 decimal places, for a sample of n values (yes, you have to ask how many valuesthere are) using the following formula (if you use another formula, your program is wrong). This programWe now need to talk a little bit about estimating values of definite integrals. We will look at threedifferent methods, although one should already be familiar to you from your Calculus I days. We willdevelop all three methods for estimatingmust implement the formula using a for loop, one only. Print on paper the run for the following 7 values: 7.3,2.1, 4, 4, 5.9, 6 and 2.6E7x² - (E*x)?S2 =by thinking of the integral as an area problem and using known shapes to estimate the area under then- 1curve.2) Modify the prime number program so that it lists the twin prima numbers less than or equal to 200. InLet's get fürst develop the methods and then we'll try to estimate the integral shown above.number theory, two prime numbers (p, a) are twin prime numbers If they are separated by a distance of 2,that is, if q =p+ 2. For example: [3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103),- Print the run for twin primes less than or equal to 200.Duput - Avakimaienean uni xpackage javapcio/Pinos entte 2 y 0/ ad Valero lgareje042-55-4444[3, 5)15. T(5, 7)publie eleas zavaPrime(11, 131(17, 191Eparan arqu the comand 1 ine anqumeata129, 31)10 O141, 43)puslie atatic void main(Steing ll rga) Itinel iet MAX - 100Eot tint - iNAIit prieot truelRyaten.out.pritini11(59, 61)12(71, 73)13(101, 103x/main(107, 105)publie atatic boolean prino(int )(137, 139)int liate listi Mth. flo eth.o la2oslean realt- truefor (int 1- 2: 1 limite: 3+(145, 151X(175, 181)(191, 193)21(197, 199)22result - talserreturn tesultyBUILD SUCCESSEUL (total tinei o seconds)24avarineApproximating Definite IntegralsIn this chapter we've spent quite a bit of time on computing the values of integrals. However, not allintegrals can be computed. A perfect example is the following definite integral.

Four exercises, each worth 20 points. For each exercise, the programming file in java format (there are 2 files in total: variance, twin primes) 1) Calculate the variance, to 2 decimal places, for a sample of n values (yes, you have to ask how many values there are) using the following formula (if you use another formula, your program is wrong). This program must implement the formula using a for loop, one only. Print on paper the run for the following 7 values: 7.3, 2.1, 4, 4, 5.9, 6 and 2.6 £7x² - E*x)* n- 1 £7 x² – 2) Modify the prime number program so that it lists the twin prime numbers less than or equal to 200. In number theory, two prime numbers (p, a) are twin prime numbers if they are separated by a distance of 2 that is, If a=p•2. For example: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), - Print the run for twin primes less than or equal to 200.

Four exercises, each worth 20 points. For each exercise, the programming file in java format (there are 2 files in total: variance, twin primes) 1) Calculate the variance, to 2 decimal places, for a sample of n values (yes, you have to ask how many values there are) using the following formula (if you use another formula, your program is wrong). This program must implement the formula using a for loop, one only. Print on paper the run for the following 7 values: 7.3, 2.1, 4, 4, 5.9, 6 and 2.6 £7x² - Ex) n- 1 £7 x² – 2) Modify the prime number program so that it lists the twin prime numbers less than or equal to 200. In number theory, two prime numbers (p, a) are twin prime numbers if they are separated by a distance of 2 that is, If a=p•2. For example: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), - Print the run for twin primes less than or equal to 200.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 20PE

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In this exercise, we will write a program to find the sum of all numbers between any two seeded randomly generated numbers, inclusively, where the randomly generated numbers are also included in the sum. For example, if the randomly generated integers are 15 and 25, you need to sum all odd numbers from 15 to 25, and 15 and 25 are also included in the sum. Note that the random number generated may be even, so you should NOT include that number in your sum. In this program, you will: • Generate the first random integer between 10 and 30, inclusive. • Generate a second random integer between 40 and 60, inclusive. • Inside a while loop, accumulate the sum of all numbers between the two random numbers generated, being sure to include the two random numbers in the sum. • Display the two random numbers as well as the sum on the screen with suitable messages.
Transcribed Image Text Python Development Lab In Merworld there exists 2 coins of different denominations types 5-peso coins and 10- peso coins, both having two faces with image of – Elon Musk and a dog. You are assigned a task to find out the number of ways to arrange these coins so that their sum is N pesos. Arrangement should be done in such a way that the first coin in the arrangement should always have Elon Musk image up. Other coins could have any image. Input Output 1 60 5 LO
Using Matlab. Monte Carlo methods are a class of computational methods that rely on repeated random sampling to compute their results. In this problem, you will use the Monte Carlo method to estimate the temperature at an arbitrary point in a uniform solid. Specifically, we will consider the solid object shown below. The temperatures of all surfaces are 500 des F with the exception of the two shaded surfaces, which are at 0 deg F. Inputs to the program should be: 1. The number of random walkers. 2. The (x,,2) coordinates of the point at which the temperature is to be estimated. 3. Plot interval (eg., you may want 1,000,000 random walkers in the simulation but may want to plot after every 10,000). Output from the program should be: 1. A graph of the estimated temperature, plotted according to the plot interval 2. Numerical value of the estimated temperature. USING MATLAB
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