The arcsin function can be defined by the power series as: 80 arcsin(z) =Σ k=0 (2k)! - 4 (k!)² (2k+1) z³ 2k+1 3z5 -Z =z+ + 6 40 +... for z≤1 a) Write a function arcsin (z, k) that takes 2 inputs: z and k. The function will output the corresponding value. In your script, test your recursive function with z = 0.5 and k =5 [10] >> arcsin (0.5,5) ans = 0.5236 b) Plot arcsin (z, k) function for -π/4≤ Z ≤ +л/4 and with the first 40 terms. One the same figure, plot the actual asin function in MATLAB. Label the axes and provide a legend for clarity. [15]
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- Code the function multiplier(). /***** *** //The multiplier function takes 2 integer // parameters n1 and n2 and displays the result // of n1 times n2 //*** *******Write a function which returns “odd” or “even” for odd or even inputs, respectively. HINT: evenOrOdd(2) returns “even” and evenOrOdd (7) returns “odd”Use the function generator to generate a signal. Write your own functions to • measure the signal: void measure(short S[], int anz); Use the function micros() to sample the analog Voltage approximately every 0.1 ms.• calculate the mean and variance of the signal: int statistics(short S[], int anz, long *variance); The functions should be used as follows: void loop() { short S[128]; int mean; long variance; measure(S, 128); //now the signal is in array S mean=statistics(S, 128, &variance); //now variance and mean are //written Serial.print("mean: "); Serial.print(mean); Serial.print(" , var: "); Serial.println(variance); }
- F(x.y,z)=x'y'z+x'yz+xy'z'+xy'z can you simplify this and draw the diagram of the simplified functionIn loop functions.py, define a function named permutations that takes two paramters, n and r, in that order. This function returns the number of different permutations of length r from set of size n. Essentially to calculate these permutations, the function should compute the product (n - r+1)*(n-r+2)*(n-r+3)*...*(n-2)*(n-1) or n!/(n-r)!. No if statements or built in math functions should be used. For or while loops are best reccomended.2a. Classification task For the following two classes of observations (class cross and class circle), state and explain whether it is possible for a perceptron to learn the required output. + + + +
- Numbers can be regarded as product of its factors. For example,8 = 2 x 2 x 2; = 2 x 4.Write a function that takes an integer nand return all possible combinations of its factors.Note:You may assume that n is always positive.Factors should be greater than 1 and less than n.Examples:input: 1output:[]input: 37output:[]input: 12output:[ [2, 6], [2, 2, 3], [3, 4]]input: 32output:[ [2, 16], [2, 2, 8], [2, 2, 2, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 8]].Going missing Some calculations involving blank values may give different results to what you might expect. For example, when you pass a blank value into the AND() function, it is treated as TRUE. This is often unhelpful. To make blanks behave in a sensible way in calculations, you must first convert them to be "not available" using NA(). This function takes no inputs, and returns a missing value. To convert a blank value to a missing value, use this pattern. =IF(ISBLANK(cell), NA(), cell) Instruction In column H, use AND() to find women who have kids and get benefits. In column I, convert the blanks in column G to missing values. In column J, again find women who have kids and get benefits, this time using column I rather than G. please show the formula used to "has kids and gets benefits" , "gets benefits with missing values", has kids and gets benefits". Thank you Is non-white Has over 12 years of school? Is married? Has kids? Has young kids? Is head of household? Gets…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 VI: Write a program that computes and plots the spectral representation of the function 1. y(t) = (10e-10t)u(t) 2. y(t) = (10e-10t cos100t)u(t)Question 2 factorial(n) = n (n-1) (n-2) .1. Complete the following function such that it returns the factorial of the input parameter (num) to the calling function. def factorial(num): if num == 0: return 1 else: return • factorial( O factorial(num-1), num 1, num O factorial(num), num-2 O num, num-1 O num-1, num-2 Question 3Q11/ A function f(t) is said to be even if: Oa) f(t) = f(-t) Ob) f(t) = -f(-t) Oc) f(t) # f(-t) %3D Od) None of these