In this problem you will need to use complex number arithmetic. Assume that the equation f(x) = 0 has a unique solution in an interval [a, b], and that ƒ € C³[a, b]. (a) Let h> 0 be a small number. Using appropriate Taylor expansion show that f'(ro) = Im(f(xo +ih))/h+h²f"" (xo)/6+0(hª), (b) Where i is the imaginary unit such that i² = −1. Since f'(ro) Im(f(xo + ih))/h, consider the following modification of Newton's method with complex step.

The following code is used to plot a heatmap and the result is shown below. The range of the data that represented using the heatmap is of the range from 0 to 600. It can be seen that the numbers over 400 are all shown in the same color. How would you improve the figure to allow the data with higher values to be stood out? inpert talatlaelat a plt rughts s. leattasetuts', ta ta ruts tiure tt. .heataptaftaghts, in, ptt.shol Ha gers -300 -250 200 -100 O a. Set the parameter vmax to a smaller number. O b. Reverse the color bar. Oc. Set the parameter vmax to a larger number. O d. Show the annotation on the figure.

I need help with this python computer science DEEP BREADTH SEARCH question. I have the layout of the code but I need help filling in the parts that say "pass" and I want you to take a picture of your output and make sure it matches the sample run below.   Find a path (not the best path, but just any path) from A to Z.  You see that the green path is not the shortest but it does let us navigate from start to finish.  (The picture below) First, we need to know A and Z, our starting and ending points.  We'll pass these into our function.   I'm going to use a dictionary to represent this graph.  Each node (vertex, circle) will have a name, in this case "A" and "Z" were the names of the nodes, but in the generated maps I'm going to use "Node 1", "Node 2", "Node 3", etc.     Here is an example web_map web_map = { 'Node 1': ['Node 3', 'Node 2'],  'Node 2': ['Node 1', 'Node 4'],  'Node 3': ['Node 1'],  'Node 4': ['Node 2'] } Node 1 is connected to 2 and 3 for instance, and then also note that…

In each question below, provide a brief explanation, a formula and the numerical value for your answer (exact if the answer is an integer, approximate otherwise). There are 94 printable characters on a standard North American keyboard, comprised of the 26 upper case letters A-Z, the 26 lower case letters a-z, the 10 numerical digits 0-9 and the 32 special characters. For our purposes, passwords are strings consisting of printable characters. The length of a password is the number of characters in the password. Suppose we want a password space with entropy 128 bits, assuming that each pass- words is equally likely, i.e. a total of 2^128 passwords (this number is typical for key space sizes of modern cryptosystems). Assuming no restrictions on the characters appearing in passwords ex- cept that they be printable, what is the minimum password length that guarantees a password space with entropy 128?

Complete the rotate_text() function that takes 2 parameters, a string data and an integer n. If n is positive, then the function will shift all the characters in data forward by n positions, with characters at the end of the string being moved to the start of the string. If n is 0 then the text remains the same. For example: rotate_text('abcde', rotate_text('abcde', rotate_text('abcde', 1) would return the string 'eabcd' 3) would return the string 'cdeab' 5) would return the string 'abcde' rotate_text('abcde', 6) would return the string 'eabcd' ... and so on. If n is negative, then the function will shift the characters in data backward by n positions, with characters at the start of the string being moved to the end of the string. For example: rotate text('abcde', -1) would return the string 'bcdea'

Click cell C9 and insert a VLOOKUP function that looks up the code in cell B9, compares it to the codes and types of art in the range B2:C6, and returns the type of art. Copy the function in cell C9 to the range C9:C54. Hide column B that contains the codes.

Write the algorithm in a flow chart. The arithmetic operations are limited to only addition, subtraction, multiplication, and division. You can use chart software such as Lucidchart, powerpoint, or Visio. Please export it to a pdf file (e.g., Q3.pdf) Implement the algorithm in C. Again the arithmetic operations are limited to only addition, subtraction, multiplication (in Q3 not in Q4), and division (in Q4 not in Q3). (e.g., Q3.c) Implement the algorithm for MARIE architecture (e.g., Q3_MARIE.mas) The numbers of instructions in Q3_INSTRS.docx (Word document) Q4. Logarithm (Iterative algorithm) - Use Q2   Get a user input of two positive integer numbers: A and B where A is a base and B is an exponent of A Calculate C= Log base A of B Print C   Test case: A=2, B=16 Output should be 4

NEED HELP WITH PYTHON CODE. ALSO, PLEASE PROVIDE DETAILS SEPARATELY ON HOW AND WHAT DID U USE TO GET UR CODE DONE.

This is the program i have been given. I have to change it to meet the following criteria but can only change the body of the show_flashcard function       # IMPORTANT# Q2 (a)(iii) Make changes only to# -- the docstring for the program as a whole.# -- the docstring of the show_flashcard() function# -- the body of the show_flashcard() function. def show_flashcard():    """ Show the user a random key and ask them        to define it. Show the definition        when the user presses return.        """    random_key = choice(list(word_list))    print('Define: ', random_key)    input('Press return to see the definition')    print(word_list[random_key])     # Set up the word_list word_list = {'black':'noir',            'red':'rouge',            'yellow':'jaune',            'orange':'orange',            'white':'blanc',            'green':'vert'} # The interactive loop exit = Falsewhile not exit:    user_input = input('Enter s to show a flashcard and q to quit: ')    if user_input == 'q':…

In [ ]: Exercise 1b Write code to calculate and print the quantities from the data sheet. For the momenta pli and p2i, the code is given. For the other quantities, uncomment the respective code lines and add your own code. You must use the given variable names; do not change their case (e.g. from Kli to kli). For full credit: • Use "f-strings" to print your calculated values. • Make sure each quantity is printed with its correct unit. Follow the example for pli. Verify that your code produces sensible results. pli m1*vli p2i = m2*v2i print (f'Momentum of m1 before collision: print (f'Momentum of m2 before collision: #pi #mtot = # pf #p_ratio= #print() #print () #print() #print () = = # Kli = # K2i = #print() # print () #Ki = # Kf = # K ratio = #print () #print() #print () # Momentum of m1 before collision #Momentum of m2 before collision #YOUR CODE HERE raise NotImplementedError() {pli:eP} kg•m/s') {p2i: eP} kg•m/s') # Total momentum before collision # Combined mass #Total momentum…