Write a C++ function that evaluates polynomials an an x" + an- X -1, x°. It should take following inputs: • Value of x. • Highest power n. • Coefficients in descending order an, an-l , ... , az , ai , ao (coefficients will ne ', ..., a2 x?,a1 x', ao
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- * نقطتان (2) Which code would you use to find the value of the function f? f(x)=sin(x) + cos (x) + tan (x) at x = π/4 sin(45)+cos(45)+tan(45) O sin(45®)+cos(45®)+sin(45®) O sin(pi/4)+cos(pi/2)+tan(pi/4) sind (45)+cosd(45)+tand (45) sin(pi/4)+cos(pi/4)+tan(pi/4) OWrite a C function : bool isArm(int) The Eunction takes parameter a number and ret lArmstrong number is number where sum of cube urn whether the number is an arms of digits is equal to the number -5. Write a function harmonic that will take an integer n as a parameter and return the result of the harmonic series: Γράψτε μια συνάρτηση harmonic που θα πάρει έναν ακέραιο η ως παράμετρο και θα επιστρέψει το αποτέλεσμα της αρμονικής σειράς: 1 1 -+-+-+ 3 + 2 For example, harmonic (2) = 1.5 and harmonic (3) = 1.833
- 1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function,ϕ (n), expresses the number of positive integers less than n that are relatively prime with n. Choose the alternative that has the correct value of ϕ(n) for every n below. A) ϕ(5) = 4 B) ϕ(6) = 2 C) ϕ(10) = 3 D) ϕ(14) = 6 E) ϕ(17) = 162. Write a program that implements the first order (linear) interpolations. 3. Use the program to apply first order (linear) interpolation to the function f(x)=sin(x²) initially calculated in 10 uniform points in the interval [0.0, 5.0]. GPlease written by computer source a) Define polynomialf(x)=x5+3x4−4x3+59x2−75x+35and find the following using commands (i) Roots of polynomial (ii) Calculatef(9)(iii) Plot the polynomial for−1.5<x<=6.7b) Make 3D line plot ofsin(t),cos(t)andtin the t range 0 to6π.
- 2. C++ Implement a function for integrating a function by means of Riemann sums. Use the formula Write a function that returns the numerical derivative of a given function fat a given point x. using a given tolerance h. Use the formula Yx+h) -f(x-h) f(x) = %3D 2hSOLVE IN PYTHON PYTHON NOT MATLAAAB PLEASEWrite a function that finds the period of the fundamental mode of oscillation for a shear building where the masses of each floor and the stiffnesses of each story are all the same . For example, for a 8-story shear building where each floor is 1200 kg and the stiffness between each floor is 10 5 N/m, the period of the fundamental mode would be 3.73 s. def sb(m, k, n): '''Find the period of fundamental mode of oscillation for an n-story shear building model with all masses equal to m and all stiffnesses equal to k. Example: if m = 1000, k = 10000, n = 3, then fm = 4.46'''.... 5. a= 1------->y3sin(x) a= 2------->y3cos(x) a= 3------->y=tan(x) else -------> y=x Create a function that plot y based on different values for the variable a. The x variable can be in the range 0Implémenter la fonction booléenne suivante F= xy’ + x’y’ +yz a) En utilisant les portes ET, OU et des portes inverseur (NON) b) En utilisant les portes OU et des portes inverseur (NON) c) En utilisant les portes ET et des portes inverseur (NON) English: Implement the following Boolean function F= xy' + x'y' +yz a) Using AND, OR and inverter (NOT) gates b) Using OR gates and inverter gates (NOT) c) Using AND gates and inverter gates (NOT)Write 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…Solve by using C language and by using functions Write a program that uses six calls to the function rand() to generate six randominteger numbers, num1, num2, num3, num4, num5, and num6, and then print them out.num1 should be in the range 1 to 2 (inclusive), num2 should be in the range 1 to 100 (inclusive),num3 should be in the range 0 to 9, num4 should be in the range 1000 to 1112 (inclusive),num5 should be in the range -1 to 1, and num 6 should be in the range -3 to 11.SEE MORE QUESTIONS