Match each piece of code with the value that it produces given each answer can only be used once Observe the following code for a function bisection:def bisection(f, a, b, N):for i in range(N):m = (a+b)/2if f(a)*f(m)<0:b = melif f(m)*f(b)<0:a = mreturn (a+b)/2Below are five pieces of code, each of which calls this bisection function, and some of which depend on some variable y, that has already been assigned to somefixed integer.Match each piece of code with the value that it produces.bisection (lambda x: x**2-14*x+y, 7, 10, 100)(lambda y: bisection (lambda x: x**2-14*x+y, 7, 10, 100)) (47)bisection (lambda x: x**2-14*x+y, 7, 10, 5)bisection (lambda x: 5000*x-42071, 7, 10, 100)bisection (lambda x: x**2-14*x+y, 4, 7, 100)Choose...Choose...8.7320508075688778.7343758.4142135623730945.26794919243112158.414200000000001

Result:After N iterations, the function returns the midpoint of the final interval, which is an…

Answered: Observe the following code for a…

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 8SA

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function [P, A] = rect(L, W) P= 2 (L+ W); A =L*W; end Above function is defined to find perimeter and area of a rectangle. If a rectangle has length 10 mm and width 7 mm then the correct way to get perimeter and area of a given rectangle by executing this function is Select one: a. [A, B] = rect(10, 7) b. rect(7, 10) c. [A, B] = rect(7, 10) d. rect(10, 7)
Complete the following function using pass-by-reference: void findMax(int &max, int a) which assigns value ‘a’ to ‘max’ if a > max. Write a pseudo-code then implement a program in C language to find the maximum in a sequence of numbers using this function.
solve in assembley language, MIPS Square Root Calculation: Newton’s iterative method can be used to approximate the square rootof a number x. Let the initial guess be 1. Then each new guess can be computed as follows:guess = ((x/guess) + guess) / 2; Write a function called square_root that receives a double-precision parameter x, computes,and returns the approximated value of the square root of x. Write a loop that repeats 20 timesand computes 20 guess values, then returns the final guess after 20 iterations. Use the MIPSfloating-point register convention (Section 9.6) to pass the parameter x and to return thefunction result. All computation should be done using double-precision floating-pointinstructions and registers. Compare the result of the sqrt.d instruction against the result ofyour square_root function. What is the error in absolute value?
Write these in Pseudocode #1a – In pseudocode, write a call to a function that passes 1 Integer variable and 1 Integer array, and saves a Boolean value in return. #1b – In pseudocode, write the function that accepts 1 Integer and 1 Integer array and returns a Boolean. In the function, search the Integer array with a for-loop, and if the Integer parameter is found in the array, return false. If the Integer parameter is not found, return true. #2a – In pseudocode, write a call to a module that passes 1 Integer variable, 1 Real variable, 1 String constant, and 1 String literal as arguments. #2b – In pseudocode, write the module header that accepts 1 Integer, 1 Real, and 2 Strings as parameters. #3 – This pseudocode has multiple problems. Fix the calling statement and the definition below so that the routine accepts 3 grades as parameters and returns the average into a variable.…
C language
F(?,?,?)=?′?′?+?′??+??′?′+??′?can you simplify this and draw the diagram of the simplified function
Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…
Write a recursive function definition for the following function: int squares(int n); //Precondition: n >= 1 //Returns the sum of the squares of numbers 1 through n. For example, squares(3) returns 14 because 12 + 22 + 32 is 14.
Consider the following function main:Int main(){int inStock[10][4];int alpha [20];int beta[20];int gamma[4]= {11,13,15,17};int delta [10] = {3,5,2,6,10,9,7,11,1,8};} a) Write the definition of the function setZero that initializes any one-dimentional array of type int to 0.b) Write the definition of the function inputArray that prompts the user to input 20 numbers and stores the numbers into alpha.c) Write the definition of the function doubleArray that initializes the elements of beta to two times the corresponding elements of alpha. Make sure that you prevent the function from modifying the elements of alpha.d) Write the definition of the function copyGamma that sets the elements of the first row of inStock to gamma and the remaining rows of inStock to three times the previous row of inStock. Make sure that you prevent the function from modifying the elements of gamma.e) Write the definitions of the function copyAlphaBeta that stores alpha into the first five rows of inStock and beta…
Create a program that accepts an integer N, and pass it to the function generatePattern. generatePattern() function which has the following description: Return type - void Parameter - integer n This function prints a right triangular pattern of letter 'T' based on the value of n. The top of the triangle starts with 1 and increments by one down on the next line until the integer n. For each row of in printing the right triangle, print "T" for n times. In the main function, call the generatePattern() function. Input 1. One line containing an integer Output Enter N: 4 T TT TTT TTTT
1. def f(x):"""Evaluates function `f(x) = x^2 - 15 \sin(x * \pi/3)`Parameters----------x : array_likeInput(s) to the functionReturns-------out : ndarrayFunction `f`, evaluated at point(s) x"""# your code here 2. def grad_f(x):"""Evaluates gradient of a function `f(x) = x^2 - 15 \sin(x * \pi/3)`Parameters----------x : array_likePoint(s) at which gradient should be avalueatedReturns-------out : ndarrayGradient of the function `f` evaluaed at point(s) x"""# your code here # TEST 1. f(x)assert f(0.) == 0.assert np.allclose(f(np.array([2.5, 7.5])), np.array([-1.25, 41.25])) assert np.allclose(f(np.arange(-10, 10, 1)), np.arange(-10, 10, 1)**2 - 15*np.sin(np.pi/3*np.arange(-10, 10, 1)))x_min = 1.33668375assert np.allclose(f(x_min), -12.9944407) # TEST 2. grad_f(x)assert np.allclose(grad_f(0.), -15.7079)assert isinstance(grad_f(0.), float) assert np.allclose(grad_f(0), - 5*np.pi*np.cos(0)), 'Gradient at point 0 is wrong'assert np.allclose(grad_f(np.arange(-10, 10, 1)), 2*np.arange(-10,…
| The code in Part 1 counts the crossings and nestings for a given matching. We now want to use this to analyze the distribution of crossings and nestings for arc diagrams with 100 arcs. Using your function random_matching from Exercise [1.4], generate 104 such arc diagrams and create histograms for the numbers of crossings and nestings, respectively. Display them in a single plot. Also generate a two-dimensional histogram for the joint distribution of crossings and nestings. What do you observe?

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