Matlab code Problem 3 Create a MATLAB Script File using a WHILE LOOP or For loop to plot the following function, Make sure to use enough points to create smooth curves. Provide a plot title, labels for the axes, and a legend for the two curves. 8.6 Create a function called g that satisfies the following criteria: For x < -#, For x2- and xs, For x> #, g(x) = -1 g(x) = cos(x) g(x)=-1 Plot your results for values of x from -27 to +2#. Choose your spacing to create a smooth curve.
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- Pb#1: For several values of x, confirm that eix = cos x + i sin x Pb#2: An object thrown vertically with a speed vo reaches a height h at time t, where h= vo*t - gt2 Write and test a function that computes the time t required to reach a specified height h, for a given value of vo. The function's inputs should be h, vo, and g. Test your function for the case where h=100 m, vo=50 m/s. and g=9.81 m/s2. Interpret both answers. (MATLAB)(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.Write a function that implements the quadratic equation. Given three inputs (a, b, and c), calculate the roots (r1 (+) and r2 (-)) of the quadratic formula. Review 19 Write a function that implements the quadratic equation. Given three inputs (a, b, and c), calculate the roots (r1 and r2) of the quadratic formula. Call your function Roots a = 1 b = 2 c = -3 [r1,r2]=Roots(a,b,c)
- Question: Explain the double integrate (FUNC f, double a, double b); line of the integrate function. Given the C++ code: // integration.cpp #include <iostream>using namespace std; // FUNC represents functions of one variable that take a double as input and returns a doubletypedef double (*FUNC)(double);double integrate(FUNC f, double a, double b);double line(double x);double square(double x);double cube(double x); int main(int argc, char* argv[]){ cout << "The integral of f(x)=x between 1 and 5 is: " << integrate(line, 1, 5) << endl; // 25/2 - 1/2 cout << "The integral of f(x)=x^2 between 1 and 5 is: " << integrate(square, 1, 5) << endl; // 125/3 - 1/3 cout << "The integral of f(x)=x^3 between 1 and 5 is: " << integrate(cube, 1, 5) << endl; // 625/4 - 1/4 return 0;} double integrate(FUNC f, double a, double b){ double temp=0.0; for(double x = a; x<=b; x=(x+.0000001)){ // this loop adds up the areas of…Q. Taylor Series expansion of sine for x is computed as follows: sin x=x - x^3/3! + x^5/5! - x^7/7!+... Let the value of x be 30, hence radian value for 30 degree is 0.52359 sin(0.52359) = 0.52359 - 0.52359^3/3! + 0.52359^5/5! - 0.52359^7/7!+ ... (a)Write a function in c++ that takes value of x in degrees and returns the value of x in radians. (b)Write a function in c++ that calculates and returns the factorial of a number.e.g. 3!=6 (c)Write a function in c++ that calculates and returns power of a number. e.g. 23=8. (d)Use the above three functions to find the taylor expansion of sine for in degrees as given above.(Calculate first 3 terms)I need help in creating 2 C functions that will help to split a string that is present in each line of the text file. For instance, these are 5 lines of the text file wherein there is a word and its respective definition. The words can vary from 7-10 letters (min-max) followed by their descriptive clue. observe clue- to inspect or take note of as an augury, omen, or presage With the function I want it to seperate the these above strings in terms of words and their defintion for example I want the functions to seperate "observe" and "clue- to inspect or take note of as an augury. I want the function to work for any words and not just one
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- (Fibonacci) The Fibonacci series0, 1, 1, 2, 3, 5, 8, 13, 21, …begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the twopreceding terms. a) Write a nonrecursive function fibonacci(n) that calculates the nth Fibonaccinumber. Use unsigned int for the function’s parameter and unsigned long long int for its returntype. b) Determine the largest Fibonacci number that can be printed on your system.Define a function CoordTransform() that transforms its first two input parameters xVal and yVal into two output parameters xValNew and yValNew. The function returns void. The transformation is new = (old + 1) * 2. Ex: If xVal = 3 and yVal = 4, then xValNew is 8 and yValNew is 10. #include <iostream>using namespace std; /* Your solution goes here */ int main() {int xValNew;int yValNew;int xValUser;int yValUser; cin >> xValUser;cin >> yValUser; CoordTransform(xValUser, yValUser, xValNew, yValNew);cout << "(" << xValUser << ", " << yValUser << ") becomes (" << xValNew << ", " << yValNew << ")" << endl; return 0;} Please help me with this problem using c++.Consider the PreviousDate() function. This function takes three parameters month, date, and year as inputand returns the date of the day before. For example if the input is month = 4, day = 23, year = 1989, theoutput will be 22-04-1989 (or April 22, 1989). The 3 inputs are integer values and with followingconstraints:1 ≤ month ≤ 12, 1 ≤ day ≤ 31, 1712 ≤ year ≤ 2112Design test cases based on boundary value testing.