Create a function that takes numbers $b and $m as arguments and returns the derivative of the function f(x)=x^b with respect to x evaluated at x=m, where $b and $m are constants. Examples derivative(1, 4) → 1 derivative(3, -2) 12 → derivative(4, -3) → -108 -
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- Write the function that takes three dimensions of a brick: height(a), width(b) and depth(c) and returns true if this brick can fit into a hole with the width (w) and height(h). Examples doesBrickFit(1, 1, 1, 1, 1) → true doesBrickFit(1, 2, 1, 1, 1) → true doesBrickFit(1, 2, 2, 1, 1) false Notes • You can turn the brick with any side towards the hole. • We assume that the brick fits if its sizes equal the ones of the hole (i.e. brick size should be less than or equal to the size of the hole, not strictly less). • You can't put a brick in at a non-orthogonal angle.Let A = {1, 2,3} and B = {a, b, c, d} What is the function from a to b?Write a function that takes 3 integers (num,den,power) as parameters which represent the rational number num/den and its power and returns the difference of these two fractions. (A/B) to the power of n = A to the power of n/B to the power of n • den can not be zero. • use simplify function.
- A number is said to be Harshad if it's exactly divisible by the sum of its digits. Create a function that determines whether a number is a Harshad or not. Examples isHarshad (75) → false // 7 + 5 = 12 // 75 is not exactly divisible by 12 isHarshad (171) → true // 1 + 7 + 1 = 9 // 9 exactly divides 171 isHarshad (481) → true isHarshad (89) → false isHarshad (516) → true isHarshad (200) → trueA positive integer’s proper divisor satisfies 3 conditions: 1.divides the positive integer with remainder zero 2 is less than the positive integer 3. is a positive integer .A positive integer is a serene number if and only if the sum of the number’s proper divisors equals the number. Write and test a function that returns true if its parameter is a serene number and false if its parameter is not. 6 is a serene number because 1 + 2 + 3 = 6. 28 is a serene number because 1 + 2 + 4 + 7 + 14 = 28 There are many more serene numbers.Write a function that accept a tuple t= (5,'b', 6,'y', 7,8,'w') as a parameter and returns the sum of tuple numbers and ignores the all characters.
- Given main() and GVCoin struct, complete function Consecutive Heads() in main.c that counts and returns the number of flips taken to achieve a desired number of consecutive heads without a tails. Function ConsecutiveHeads() has a GVCoin struct and an integer representing the desired number of consecutive heads without a tails as parameters. Review the GVCoin struct in "GVCoin.h" and the function implementations in "GVCoin.c" by clicking on the orange arrow Note: For testing purposes, a GVCoin struct is created in the main() function using a pseudo-random number generator with a fixed seed value. The program uses a seed value of 15 during development, but when submitted, a different seed value will be used for each test case. Ex: If the GVCoin struct is created with a seed value of 15 and the desired number of consecutive heads is 5, then the function Consecutive Heads() returns 53 and the program outputs: Total number of flips for 5 consecutive heads: 53 LAB ACTIVITY 9.13.1: LAB:…1. Fibonacci series can be created starting from 0 to the desired number. A function can be written for this operation and it can take two parameters: start and end. The default fırst parameter 0 is acceptable. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765..In Kotlin, write a higher-order function with an expression body that takes an int n and a function f from int to int and returns the result of calling f(f(n)). For example if you call the function with n = -5 anda function that calculates absolute value, your function will return 5, and if you send the value 2 and a function that calculates the sqaure of an int, the function will return 16. in addition to the function, write the syntax to call it with:a. a function name as the function arguementb. some lambda expression as the function argument
- Write a function that receives the left, bottom, right and top coordinates of two rectangles, and then computes the perimeter of their intersection. The function returns 0 if there is no intersection between the two rectangles. The rectangles are given as follows: intersection (11,b1,r1, t1,12, b2,r2, t2) where, 11 -> left of rectangle 1 b1 -> bottom of rectangle 1 rl -> right of rectangle 1 t1 -> top of rectangle 1 12 -> left of rectangle 2 b2 -> bottom of rectangle 2 r2 -> right of rectangle 2 t2 -> top of rectangle 2 For example, intersection (0,0,5,5,3,3,7,7) will return 8, because: 7 5 +---B 3 | А- -D---+ 5 7 3 the perimeter of the shaded area is 8 units: A-B : 2 units B-C : 2 units C-D : 2 units D-A : 2 units Total: 8 unitsWrite the definition of a function isEven, that receives an integer parameter and returns true if the parameter's value is even, and false otherwise. So, if the parameter's value is 7 or 93 or 11 the function returns false. But if the parameter's value is 44 or 126 or 7778 the function returns true.Write the definition of a function add, which receives two integer parameters and returns their sum.