Simplify the following functions using a K-map: g)F(X,Y,Z)=XY'Z+X'+Z+Y'Z'
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5. Simplify the following functions using a K-map:
g)F(X,Y,Z)=XY'Z+X'+Z+Y'Z'
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- Let A = {1, 2,3} and B = {a, b, c, d} What is the function from a to b?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)Draw the following function: Y=A cosB + C Where: A= 1 , -1 , 3 , -3 (four values) B= 0° : 360° (as smooth as possible) C= 0 , 0.3 , 0.6 (three values)
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- Play and practice all the functions that we listed here. What I would like you to do is to first create three vectors---a logic vector, a double vector, and a character vector, for example, x1 = c( TRUE, FALSE, TRUE) x2 = c( 0, -2.5, 1, 3, 5.9 ) x3 = c( "a1", "a2", "za", "zz", "0", "1") and apply each function to all three vectors to see what would happen. If the function requires more than one input x, then you just create other objects as needed. sum (x) sum of the elements of x prod (x) product of the elements of x max (x) maximum of the elements of x min(x) minimum of the elements of x which. max (x) returns the index of the greatest element of x which. min(x) returns the index of the smallest element of x range (x) id. than c (min(x), max (x)) length (x) number of elements in x mean (x) mean of the elements of x median (x) median of the elements of x round (x, n) rounds the elements of x to n decimals rev…(Practice) State whether the following are valid function names and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. powerdensity m1234 newamp 1234 abcd total tangent absval computed b34a 34ab volts$ a2B3 while minVal sine $sine cosine speed netdistance sum return stackQuestion: 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…
- Language: C Write the function convolve that will calculate the confolution of two functions f, g on [0, t] interval. The convolution is defined as (f ∗ g)(t) = Z t 0 f(τ )g(t − τ ) dτ for f, g : [0, ∞) → R. The argument function f and g should be passed by pointers. The integral should be approximated by the Riemman sum, i.e., Z b a f(x) dx = Xn i=1 f(xi) ∆x, where ∆x = b−a n and xi = a + i ∆x. Define the functions func1, func2 and func3, that return sin(x), cos(x) and x 3 respectively. Use these functions to calculate the convolution of f = sin(x), g = sin(x) f = sin(x), g = cos(x) f = sin(x), g = x 3 for t = 2π and n = 1000.(a) Write the C++ function, operator+(const Matrix& b) const, which returns the matrix *this + b.please write a function to reduce blue and green in a picture for JES