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Once you have a list of all the mathematical operations, you may put them in a sensible order.
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- Application of Linear Algebra in Computer Games Write the code for any computer game in Python (not very long not very short, not too easy not too complicated) and use some of the elements of Linear Algebra (vectors, matrices or etc.) in that code (mandatory). Explain your work using comments in the code.When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right.Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table. Attached is the table I completed. All rows are correct except the last one. I'm not sure what my error is.Instructions for Questions 1 through 6. For each piece of pseudocode, give the runtime in terms of N. Your answer should give an exact value for the number of times the inner loop runs (i.e. the final value of count), and it should also give the order of growth of the runtimes using big-Oh notation. You can assume that N "comes out nicely" with respect to loops. For example, if the loop counts by 2, you can assume it is an even number, and if it multiplies or divides by 2 each time, you can assume it is a power of 2. Note: log(N!) is 0(NlogN).
- The Fibonacci sequence is listed below: The first and second numbers both start at 1. After that, each number in the series is the sum of the two preceding numbers. Here is an example: 1, 1, 2, 3, 5, 8, 13, 21, ... If F(n) is the nth value in the sequence, then this definition can be expressed as F(1) = 1 F(2) = 1 F(3) = 2 F(4) = 3 F(5) = 5 F(6) = 8 F(7) = 13 F(8) = 21 F(n) = F(n - 1) + F(n - 2) for n > 2 Example: Given n with a value of 4F(4) = F(4-1) + F(4-2)F(4) = F(3) + F(2)F(4) = 2 + 1F(4) = 3 The value of F at position n is defined using the value of F at two smaller positions. Using the definition of the Fibonacci sequence, determine the value of F(10) by using the formula and the sequence. Show the terms in the Fibonacci sequence and show your work for the formula.do it immediately pleasedo the followinf
- Please assist me with these questions.(for the 1st part just complete the bolded area. All other areas have been completed. Then complete the 2nd part 1. Devise an algorithm to receive a positive number, n, and output all prime numbers that are smaller than n and have the digit 5. For example, if n is 100, the program should output 5, 53 and 59. Your solution should have a main algorithm and two sub-algorithms, let's call them prime(num) and has5(num). Trace your algorithm and sub-sub-algorithm for the input 15. You should provide pre- and post-conditions for all your 3 (sub)algorithms. Now, let's trace this algorithm for the input n = 15: For i = 2 to 14, we check if i is prime and if i contains the digit 5. The prime numbers less than 15 are 2, 3, 5, 7, 11, 13. Among these, only 5 contains the digit 5. So, the output for n = 15 is [5]. 2. I also need help with creating JavaScript code for the flowchart provided below. Note: You will have to implement several functions that…Help me solve the problem by looking at the programPlease help me solve this with python Given a word, you need to judge whether the usage of capitals in it is right or not. We define the usage of capitals in a word to be right when one of the following cases holds:a. All letters in this word are capitals, like "USA".b. All letters in this word are not capitals, like "procareer".c. Only the first letter in this word is capital, like "Google".d. Otherwise, we define that this word doesn't use capitals in a right way. Input Format :------------------------------A string Output Format :------------------------------Boolean value, True/False Sample Input-1 :------------------------------USA Sample Output-1 :------------------------------True Sample Input-2:------------------------------FlaG Sample Output-2:------------------------------False Sample Input-3:------------------------------Facebook Sample Output-3:------------------------------True Sample Input-4:------------------------------losAnGeles Sample…