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- le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.Q5.* The Big-O of the following equation is: 3log n 5n3 - 2n
- Primary U.S. interstate highways are numbered 1-99. • Odd numbers (like the 5 or 95) go north/south, and even numbers (like the 10 or 90) go east/west. • Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, 1-405 services 1-5, and 1-290 services 1-90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also, indicate if the (primary) highway runs north/south or east/west. Use the information above to write several functions to help you determine this information. Call these functions in your main program to produce the requested output. Instructions The functions Write a function get_direction () that expects a highway number. • Returns a string "north/south" if the highway number is odd (like the 5 or 95); • Returns "east/west" if the highway number is even (like the 10 or 90). If the function is called with the following input 290 the…Write code that prints a random number of lines between 2 and 10 lines inclusive, where each line contains a random number of 'x' characters between 5 and 20 inclusive. For example: xxxxxxx xxxxxxxxxxxxxxxxxx xxxxxxxxxxxx xxxxxx xxxxxxxxxxx xxxxxxxxxxxxxxxxLet Z1Z2Z3Z4 be the last four digits of you student ID. • Let RO=0x0000 Z1Z2Z3Z4, R1=0x0000 4500 and R15=0x0011 2233, when the code below is run. CMP R1, RO BHS XYZW ADD R1,R1,# Ox10 XYZW ADD RO,RO,# 0x01 What are the contents of RO, R1 and R15 after this code runs?
- A binary number is to be transfromed by appending three 0's to the end of the number. For example , 11101 is transformed to 11101000. Which of the following best dewcribes the relationship between the transformed number and the original.- The transfromed number is 3 times the value of the original number- The transformed number is 4 times the value of the original number- the transformed number is 8 times the value of the original number- The transformed value is 1000 times the value of the original numberQ3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…if A = [1 2 3;4 5 6;7 8 9]; and B = [9 87;6 5 4 3 2 1]; then C= dot(a,b) = O C = 2-1 40 O C = 12 35 44 C = 54 57 54 O None of the above if a= [4 -1 2]; and b=[2 -2 -1], then C= dot(a,b) = O C= 8 O C= 10 O C= 1 O None of the above
- Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × ATo perform pivoting The following function is supposed to accept an augmented matrix, ab, and a pivot row index, i and returns a matrix with all elements below the pivot element eliminated. There are 3 errors in this code... find all the errors and circle them, then write the corrected version of each line below the code. def forward_elim(ab_orig,i): n = len(ab_orig) ab = copy.deepcopy(ab_orig) | for k in range(i,n): for j in range(i,n): ab[k.j] = ab_orig[k,i]*ab_orig[i.j] return ab return ab should be return ab_orig for k in range(i,n) should be for k in range(i+1,n) O for j in range(i,n) n should be n+1 ab[kj] = ab_orig[k,i]*ab_orig[i,j] should be ab[kj] = ab_orig[j.i]*ab_orig[i,k] V There should be a line just above the return ab line that reads:Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, l-405 services l-5, and l-290 services l-90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 the output is: I-90 is primary, going east/west. Ex: If the input is: 290 the output is: I-290 is auxiliary, serving I-90, going east/west. Ex: If the input is: or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number.
