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Limits Evaluate the following limits.
42.
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- Construct a DFA A so that L(A) = L(N) where N is the following NFA:arrow_forwardIf A = {1, 2, 6} and B = {2, 3, 5}, then the union of A and B isarrow_forwardCheck this code and make a code to plot the curve def maxProfitBrute(arr): # O(n^2) arr_len = len(arr) profit = -1 for i in range(arr_len-1): for j in range(i+1, arr_len): diff = arr[j]-arr[i] if (profit <= diff): profit = diff start = i end = j return start, end, arr[end]-arr[start] def maxProfit(prices): # O(n) arr = prices if len(arr) < 2: return 0 elif len(arr) == 2: return arr[1]-arr[0] if arr[1] > arr[0] else 0 mini = arr[0] profit = arr[1]-arr[0] for idx, item in enumerate(arr): mini = min(mini, item) profit = max(profit, item-mini) return profit arr = [5, 5] profit = maxProfit(arr) print(f'\nProfit = {profit}')arrow_forward
- If F1(A, B, C, D) = Sum(0, 1, 3, 8, 9, 14, 15) and d=Sum(4, 5, 11, 12, 13), the F1 =arrow_forwardTake the following permutation o of {1,2,3,4,5} defined below and use it to encode the phrase that follows. σ(1) = 5 σ (2) = 3 σ(3) = 4 σ (4) = 1 σ (5) = 2 ⠀ "WOODRUFF BEST DORM"arrow_forwardBum 0; for (int i = 1; iarrow_forward-A laboratory test was performed to obtain the change of concentration with time. Test results are shown on the table. The student noticed that one datum at t=20s is missing. Concentration Time (s) (mg/L) 194 - Use interp1() function to predict the missing value using different methods: 10 246 15 369 >linear 25 384 > cubic > spline • Plot the results on the same figure. 30 271 40 24arrow_forwardWrite a code to decide if Gram-Schmidt Algorithm can be applied to columns of a given matrix A through calculation of rank. The code should print appropriate messages indicating whether Gram-Schmidt is applicable on columns of the matrix or not. Deliverable(s) : The code that performs the test.arrow_forwardQ1 The periodic function sin(2x) has multiple roots between x values of -5π and 5π. If xL = -15 and xU = 15, which of the following statements is true using a bracketed method? Select one: a. All roots will be returned b. The middle root will be returned c. The chosen bracket is invalid for bracketed methods d. A single root will be returned e. The algorithm will be stuck in an infinite loop Q2 Consider x and y to represent data points (xi,yi), where i = 1, 2, 3, … n. What is the length of pafter running the following command? p = polyval(x,y) Select one: a. n b. n - 1 c. n + 1 d. Empty variable e. 1 Q3 Consider a system of linear equations in the form of AX = B, where X is the unknown vector. Which of the following can be used to solve for X? Select one: a. X = A\B b. X = B./A c. X = inv(B)*A d. X = inv(A)./B e. X = B\Aarrow_forwardA B C D X1 a1 b1 c3 L X2 a2 b1 c1 L X3 a2 b2 c1 H X4 a2 b2 c2 H X5 a2 b1 c1 L X6 a2 b2 c1 H X7 a2 b1 c2 H X8 a1 b2 c2 L Using the table above, calculate the following, there measures (1) Cosine. a) A1 ==> L b) A2, B2 ==> H c) A2, C2 ==> Harrow_forwardThe following iterative sequence is defined for the set of positive integers: ifn is even 3n +1 ifnis odd Using the rule above and starting with 13, we generate the following sequence: 20 u20 = 10 → U10 = 5 U5 = 16 u16 =8us = 4- 13 u13 40 u40= u=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; 1=1%B while u -1 if statement 1 u-u/2%3; else statement 2 end 1=i+1%3B end statement 1 and statemet 2 should e replacerd bv: statement 1 is 'mod(n.2)=30 and statement 2 is 'u - 3*n+1;" O None of the choices KO statement 1 is u%2 and statement 2 is u= 3*u+1;" O statement 1 is mod(u.2)==0 and statement 2 is u= 3*u+1," oparrow_forwardBus timetables specify to the second the exact arrival and departure time of each bus on each stop. You need to pay for the full fare of every bus you ride and different bus lines charge different fees , but they are flat fees (independent of distance travelled on the line) A travel plan is a sequence of stop-time pairs where stop is a location of a bus stop and time is when we arrive at that stop. The plan is feasible if for any two consecutive pairs (a, t) and (b, t′) in the plan there exists a bus that departs after t and arrives at b at exactly t′. That is, a travel plan does not allow us to walk between stops. Assuming that no two buses arrive at the same time at the same stop, a feasible plan uniquely identifies the bus lines that we need to take to realize the plan. The cost of the plan is the sum of the fares we need to pay. Your task is to design an efficient algorithm that given a departure time t, an arrival time t′, an origin stop a and a destination stop b, finds the…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- COMPREHENSIVE MICROSOFT OFFICE 365 EXCEComputer ScienceISBN:9780357392676Author:FREUND, StevenPublisher:CENGAGE L