Q1) Write a C++ program to compute the value of S using function, where the value of S(x, n)= X/2! - (X')/4! + (X/6! - ( X')/8! . +( X@-1)/2n!. Define the function Compute_S(x, n) to compute the value of S, given the value of x, andn as parameters list. Use a function called pwr(x.y) to compute xY terms and a function called Fact(n) to compute factorial n (i.e. n!) in the equation of S.
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- 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.Please Solve this Question using C++99 Version of C plus. Problem 1 (Numerical Differentiation) The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time Altitude 0 400 10 20 9200 30 40 45640 50 87370 60 70 80 90 100 160100 62070 97360 103430 127900 149630 23840 a) Use the skeleton program below. Write a function (CENTRAL) to numerically compute the velocity from the table above using the central difference scheme. Use equation (18) in the lecture note (14-Numerical Differentiation.pdf) at t=100 and use the equation below at t = 0. Make sure that you attach example runs showing the results from the computer. f(x)~ 4 f(x+h) -f(x+2h) -3 f(x) 2 h b) In the same program, write two functions (FORWARD and BACKWARD) to compute the velocity using the forward and backward difference scheme. c) Output your results in a table comparing the velocity using the…B. Using Algebraic manipulation, simplify the following function. H(A.B,C,D)=( B + C )(A + D ) + D (AC+AB)
- Use Python for this question: Write function vowelCount() that ues a string as input and counts and prints the number of occurrences of vowels in the string. >>> vowelCount('Le Tour de France') a, e, i, o, and u appear, respectively, 1, 3, 0, 1, 1 times. only the numbers change easy to count individual vowels Output for this question: >>> vowelCount('Le Tour de france')a, e, i, o, and u appear, respectively, 1, 3, 0, 1, 1 times.>>> vowelCount('The quick red fox jumped over the lazy brown dog.')a, e, i, o, and u appear, respectively, 1, 5, 1, 4, 2 times.>>> vowelCount('zmrzlna')a, e, i, o, and u appear, respectively, 1, 0, 0, 0, 0 times.>>>Note: It`s python code 3. Define a function hello() that prints “Hello World” to the console. Implement the code to test the function. 4. Modify the function, hello() above with a parameter.a) Define the function, helloNo(n) with a loop to call hello() n times to the console.b) Use the parameter, n for the numbers of iterations in the loop.Example Output: HelloNo(3) will print the followingHello WorldHello WorldHello World8. Write a function which calculates the following expression for a given number of terms (N) and x, e.g., efunc(N,X) ( takes N and x as an input) x2 ex - 1+ 1 ! + ... 2! 3!
- Using C not(C++ or C#) without the use of strings and arrays, I need help in coding this small function as part of practice. We cant use any other library (like math.h) apart from stdio.h) We cant change any parameters. The function returns the updated number after the nTimes number of iterations. It also displays the rotated number for each iteration. (Note that for each iteration, the rightmost digit becomes the leftmost digit.) For example, if num is 456 and nTimes is 1, the function displays - 1: 645 and returns 645. Another example is if num is 709134 and nTimes is 3, the function displays - 1: 470913, 2: 347091 , 3: 134709 and returns 134709. @param num the original number to be rotated @param nTimes the number times num will be rotated to the right @return rotated number (For this practice program, I have to utilize this function -) int getPlace(int num) { int t = 1; while(num>0) { t = t*10; num/=10; }…1. Harlan A. Brothers and John A. Knox discovered that as the value of x gets 2r + 1* larger, the value of the expression gets closer and closer to e. Write 2r - 1 that evaluates this expression forx = 1, 2, 3, and so on until the a program absolute difference between the expression's value and the value of e calcu- lated by the library function exp is less than 0.000001. Display the value of r that causes your loop to exit along with both the final approximation of e and the value of e calculated by the exp function. Show seven decimal places. %3DWrite a C++ fraction calculator program that adds, subtracts, multiplies, and divides fractions. Your program should check for the division by 0, have and use the following functions: (a) abs - returns the absolute value of a given integer.(b) min - returns the smallest of two positive integers.(c) gcd - returns the greatest common divisor of two positive integers.(d) reduce - reduces a given fraction.(e) flip - reduces a given fraction and flips the sign if the denominator is negative.(f) add - finds the reduced sum of a pair of given fractions.(g) subtract - finds the reduced difference of a pair of given fractions, by makingthe second fraction negative then using the add function.(h) multiply - finds the reduced product of a pair of given fractions.(i) divide - finds the reduced quotient of a pair of given fractions by inverting the second fraction then using the multiply function. Sample Runs:Fraction Calculator 1.0Enter an arithmetic expression of the form a/b operator c/d,replace…
- About initial programming in python: It is known that a messenger RNA molecule is used as a basis to synthesize proteins, in a process called translation. Each trip of messenger RNA bases is related to an aminoacid. Combining several aminoacids, we have a protein. Based on the (simplified) table of RNA cracks below, create a function that receives a string of length 9 representing a valid messenger RNA molecule, according to this table, and return the chain of 3 amino acids that represent the corresponding protein. Use a dictionary to store mappings RNA → Aminoacid. Example: translat("UUUUUAUCU") return "Phe-Leu-Ser"Write a C++ function void rect (int& ar, int& per, int len, int wid)that computes the area ar and perimeter per of a rectangle with length len and width wid.Test it inside the main program that inputs the length and width of a rectangle and outputsits area and perimeter. Output the value in the main program, not in the procedure.Write a C programs that reads three sides of a triangle and then: 1) determines if these numbers give you a "valid" triangle 2) uses a formula to calculate the area. For above 1 and 2 you must write a function. Use these example numbers as minimum to test your program: 10,10,20 10.12.20 HINT: Partial code for 1) bool is_Valid(double side1, double side2, double side3) { if( side1 + side2 > side3 && ..... Partial code for 2) double area_triangle(double side1, double side2, double side3) { double area = 0; double s = (side1 + side2 + side3)/2; area = sqrt(s*(s - side1)*(s - side2)*(s - side3));