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- Write a function to determine the resultant force vector R of the two forces F₁ and F2 applied to the bracket, where 0₁ and 02. Write R in terms of unit vector along the x and y axis. R must be a vector, for example R = [Rx, Ry]. The coordinate system is shown in the figure below: F₁ y 0₂ 0₁ F2Using Picat, write a function sphere_volume(r) : a function that computes the volume of a sphere, given its radius r.Part 1: Write a function factorialFunc(n) that gets the positive integer n and calculates n! n! = n*(n-1)* (n-2)* (n-3) … * 3 * 2 * 1; Part 2: sin(x) can be approximately calculated using the following formula, where n! is factorial(n) – for example 3!=3*2*1 = 6 (the function in previous problem). The more terms we use in the series, the higher will be accuracy of the calculations. By using infinite terms in the series we will have the exact value. Write a program that gets x and calculates sin(x) using 5, 10, 20 terms, using C++
- Write a function that computes the average of the digits in an integer. Use the following function header: double averageDigits(long n). For each of the following functions, indicate how much the function’s valuewill change if its argument is increased fourfold.a. log2 n b. √n c. n d. n2 e. n3 f. 2nIn a particular jurisdiction, taxi fares consist of a base fare of $4.00, plus $0.25 for every 140 meters travelled. There are no "partial" travel charges, so the $0.25 is only applied if the passenger is taken to the 140-meter threshold. Some examples: if a passenger only travels 139 meters, the fare will be $4.00. If the passenger travels 279 meters, the fare will be $4.25. Write a function called fare() that takes the distance travelled (in miles) as its only parameter and returns the total fare as its only result. We are providing our test suite (test_fare.py) so you can test your code against a portion of the test framework we'll use to validate your solution.
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