The support functions For the next few questions, we'll be working on finding the roots for the following quadratic equation: f(x)=x²-1.5 which has the derivative: f'(x)=2r Before we get started on the root-finding, however, you are to write two functions that will come in handy later: f(x), which takes a number or numpy arrayx and returns f(x) as defined above. f_prine(x), which takes a number or numpy arrayx and returns f'(x) as defined above. Paste these two functions into the answer box below. Note: Each function can easily be written using just a return statement. If you're doing more than this, you're probably overthinking it. For example: Test print(f(x)) print(f_prine(x@)) Result 2.5 4

The support functions For the next few questions, we'll be working on finding the roots for the following quadratic equation: f(x)=x²-1.5 which has the derivative: f'(x)=2r Before we get started on the root-finding, however, you are to write two functions that will come in handy later: f(x), which takes a number or numpy arrayx and returns f(x) as defined above. f_prine(x), which takes a number or numpy arrayx and returns f'(x) as defined above. Paste these two functions into the answer box below. Note: Each function can easily be written using just a return statement. If you're doing more than this, you're probably overthinking it. For example: Test print(f(x)) print(f_prine(x@)) Result 2.5 4

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Solve both parts of the following question using R. Show the R code as well.
In the following questions you need to import functions from Numpy. For example the computation of matrix determinants can be done with the help of the function det of the library numpy.linalg. Please list the commands required for the function to work Its follows on from a, b and c
Create a geometric series to model a geometric series. using friend functions overload the ~ operator to find tbe nth term of the series. likewise, overload the"! " operator using a friend function to find the sum of geometric series.
This is the question: Restructure Newton's method (Case Study: Approximating Square Roots) by decomposing it into three cooperating functions: newton, limitReached, and improveEstimate. The newton function can use either the recursive strategy of Project 2 or the iterative strategy of the Approximating Square Roots Case Study. The task of testing for the limit is assigned to a function named limitReached, whereas the task of computing a new approximation is assigned to a function named improveEstimate. Each function expects the relevant arguments and returns an appropriate value. An example of the program input and output is shown below: Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quit I will attatch my code as an image. I have written the code and I really do not know why the program is not accepting it, even though my code returns exactly what the…
In Python, write a function that produces plots of statistical power versus sample size for simple linear regression. The function should be of the form LinRegPower(N,B,A,sd,nrep), where N is a vector/list of sample sizes, B is the true slope, A is the true intercept, sd is the true standard deviation of the residuals, and nrep is the number of simulation replicates. The function should conduct simulations and then produce a plot of statistical power versus the sample sizes in N for the hypothesis test of whether the slope is different than zero. B and A can be vectors/lists of equal length. In this case, the plot should have separate lines for each pair of A and B values (A[1] with B[1], A[2] with B[2], etc). The function should produce an informative error message if A and B are not the same length. It should also give an informative error message if N only has a single value. Demonstrate your function with some sample plots. Find some cases where power varies from close to zero to…
In the following questions you need to import functions from Numpy. For example the computation of matrix determinants can be done with the help of the function det of the library numpy.linalg. Please list the commands required for the function to work The first photo is 3a. The other photo has the remaining questions.
7. If A has n elements and B has m elements(n, m ∈ N),find the number of functions from A to B.
Develop a function that finds the starting index of the longest subsequence of values that is strictly increasing. For example, given the array {12, 3, 7, 5, 9, 8, 1, 4, 6}, the function would return 6, since the subsequence {1, 4, 6} is the longest that is strictly increasing. Develop a function that takes a string and a single character, then returns a list of the indexes in the string where the character occurs. For example, given the string “bookkeeper” and ‘e’, the function would return {5, 6, 8} since ‘e’ occurs at those positions. Return an empty list if the character does not appear in the string even once. Develop a function that takes two lists of integers and returns a list containing any value that appears in both parameter lists.
The moment (torque) of a force is given by M =F-d-sin(0), where M is the moment, F is the force, and d is the distance between line of action of the force to the pivot, and 0 is the angle between the force and the arm. Both Fand d can be any row vectors. Use F = [50 75 90 120] and d = [3 5 8] in your work to compute the moments M. Given 0 = 45°. Show your Matlab commands. You don't need to calculate the moments.
In this problem you will implement a function called triangle_countwhich will take as input a graph object G, representing an undirectedgraph G, and will return the number of triangles in G. Do not use anyimports for this problem. To simplify the problem you may assume thateach edge is stored twice in G. That is if an edge goes from u to v then vwill be in u’s collection and u will be in v’s collection. If you would prefer,you may assume that an edge is only stored once. In either case G willneed to be regarded as undirected.
A sequence (bn)neNo is called strictly increasing if b₁ M. We can represent a sequence (bn) by a Python function that takes n as its argument (of type int) and returns bn (of type float). Write a function threshold_index that takes two arguments: The first one is a Python function representing a strictly increasing, divergent sequence. The second one is a threshold value M. The function threshold_index should return the smallest index n for which the sequence passes the threshold (i.e., bn ≥ M).
A common way of implementing a max function is to look at the sign of a - b. In this case, we can't use a comparison operator on this sign, but we can use multiplication. Let k equal the sign of a - b such that if a - b >= 0, then k is 1. Else, k 0. Let q be the inverse of k.n implement the code: