Use NumPy to complete the following task(s). 2. Solve Assignment 4.1 #2a. 2. Consider the system x + ky = 1 x + y = 4, where k is a constant. where k is a constant. a. Solve the system for k = 0.99, k = 0.99999, k = 1.01, and k = 1.00001.
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- You will be given a square chess board with one queen and a number of obstacles placed on it. Determine how many squares the queen can attack. A queen is standing on an chessboard. The chess board's rows are numbered from to , going from bottom to top. Its columns are numbered from to , going from left to right. Each square is referenced by a tuple, , describing the row, , and column, , where the square is located. The queen is standing at position . In a single move, she can attack any square in any of the eight directions (left, right, up, down, and the four diagonals). In the diagram below, the green circles denote all the cells the queen can attack from : There are obstacles on the chessboard, each preventing the queen from attacking any square beyond it on that path. For example, an obstacle at location in the diagram above prevents the queen from attacking cells , , and : Given the queen's position and the locations of all the obstacles, find and print the number of…In Python, Solve the locker riddle which reads as follows:Imagine 100 lockers numbered 1 to 100 with 100 students lined up in front of those 100lockers:The first student opens every locker.The second student closes every 2nd locker.The 3rd student changes every 3rd locker; if it’s closed, she opens it; if it’s open, she closes it.The 4th student changes every fourth locker (e.g., 4th, 8th, etc.).The 5th student changes every 5th locker (e.g., 5th, 10th, etc.).That same pattern continues for all 100 students. Which lockers are left open after all 100 students have walked the rowof lockers?Q10: Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation. 1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the differential equation where d²Q dQ 1 +R- + √ √e dt2 dt L = 0.5 R = 6.0 C= 0.02 and V(t) is the applied voltage. V(t) = V(t), henrys is the coil's inductance ohms is the resistor's resistance farads is the capacitor's capacitance ellee (i) Is the circuit oscillatory? (ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t). (iii) Sketch the transient solution, the steady state solution, and the full solution Q(t).
- Let's begin with a lesson in roulette. Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1–36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. We can make many different types of bets, but two of the most common are to bet on a single number (1–36) or to bet on a color (either red or black). These will be the two bets we will consider in this project. After all players place their bets on the table, the wheel is spun and the ball tossed onto the wheel. The pocket in which the ball lands on the wheel determines the winning number and color. The ball can land on only one color and number at a time. We begin by placing a bet on a number between 1 and 36. This bet pays 36 to 1 in most casinos, which means we will be paid $36 for each $1 we bet on the winning number. If we lose, we simply lose whatever amount of money we…Let's begin with a lesson in roulette. Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1–36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. We can make many different types of bets, but two of the most common are to bet on a single number (1–36) or to bet on a color (either red or black). These will be the two bets we will consider in this project. After all players place their bets on the table, the wheel is spun and the ball tossed onto the wheel. The pocket in which the ball lands on the wheel determines the winning number and color. The ball can land on only one color and number at a time. We begin by placing a bet on a number between 1 and 36. This bet pays 36 to 1 in most casinos, which means we will be paid $36 for each $1 we bet on the winning number. If we lose, we simply lose whatever amount of money we…U is upward, D is downward, L is left and R is right : Using the methods pickDir() and exractInt() as shown below, to write a simple automated game: how long does it take a robot to travel from a left line of a field to the right line? Assume field is 15 units apart (meters, kilometers, it doesn’t matter), and the robot starts on the left line. pickDir(): // return string with random direction and random distance (within maxDist) public static String pickDir (int maxDist) { Random r = new Random(); // random number generator // return direction + distance return ( "" + "LRUD".charAt( r.nextInt(4) ) + (r.nextInt(maxDist) + 1) ); } extractInt(): // returns integer from string, from pos p1 to p2: str = "D1" – extractInt(str,1,1); public static int extractInt (String str, int p1, int p2) { return ( Integer.parseInt( str.substring(p1, p2+1) ) ); } Write the main() method that keeps looping until the robot’s random left…
- A boatman, a wolf, a sheep, and a cabbage are on the bank of a river. They have a small boat that is capable of carrying the boatman and at most one other animal/item with him. However, if left alone by the boatman, the wolf can eat the sheep, and the sheep can eat the cabbage. How can all four be moved safely to the opposite bank of the river? Here is a nice visualization of the whole process in the original game. Disclaimer: writers, testers and CodeChef are not related to this link. This leads to a more general problem. If there are other groups of animals/items with the boatman, is it possible to move them all to the opposite bank of the river in such a way that nobody/nothing gets eaten? We will give you the number of animals/items (not including the boatman). Moreover, we will give you all a list of pairs of the form "X Y" where the X-th animalitem will be eaten by the Y-th one if they are both on the opposite bank to the boatman. You are to determine whether it is possible to…Correct answer will be upvoted else downvoted. Computer science. You are given two positive (more noteworthy than nothing) integers x and y. There is a variable k at first set to 0. You can play out the accompanying two kinds of tasks: add 1 to k (i. e. allocate k:=k+1); add x⋅10p to k for some non-negative p (i. e. relegate k:=k+x⋅10p for some p≥0). Track down the base number of tasks depicted above to set the worth of k to y. Input The main line contains one integer t (1≤t≤2⋅104) — the number of experiments. Each experiment comprises of one line containing two integer x and y (1≤x,y≤109). Output For each experiment, print one integer — the base number of tasks to set the worth of k to y.Computer science. Correct answer will be upvoted else downvoted. You have an at first void cauldron, and you need to blend an elixir in it. The elixir comprises of two fixings: enchantment pith and water. The elixir you need to blend ought to contain precisely k % sorcery substance and (100−k) % water. In one stage, you can pour possibly one liter of sorcery pith or one liter of water into the cauldron. What is the base number of steps to mix a mixture? You couldn't care less with regards to the complete volume of the elixir, just with regards to the proportion between sorcery substance and water in it. A little update: in the event that you pour e liters of embodiment and w liters of water (e+w>0) into the cauldron, then, at that point, it contains ee+w⋅100 % (without adjusting) sorcery substance and we+w⋅100 % water. Input The primary line contains the single t (1≤t≤100) — the number of experiments. The sole line of each experiment contains a solitary integer k…
- Consider a game that you want to develop to impress your friend. You design a game with rules: “A player rolls a die and a coin in a single throw. Each die has six faces. These faces contain 1, 2, 3, 4, 5, and 6 spots. A coin has two faces, e.g., Head and Tail (Head is considered as 1 and Tail as 0). After the die and coin have come to rest, the sum of the upward spots of die and coin is calculated. If the sum is 7 (makes 6 for the die and Head for coin) the player wins, if the sum is 1 (makes 1 for the die and Tail for coin) the player loses. The remaining point becomes the player's “point”. To win the game, the player must continue rolling the die and coin until the player makes his "point". The player loses by getting 7 or 1 before making his point.” Write down a Java program that simulates this game.Suppose we can buy a chocolate bar from the vending machine for $1 each.Inside every chocolate bar is a coupon. We can redeem six coupons for onechocolate bar from the machine. This means that once you have startedbuying chocolate bars from the machine, you always have some coupons.We would like to know how many chocolate bars can be eaten if we startwith N dollars and always redeem coupons if we have enough for an additional chocolate bar.For example, with 6 dollars we could consume 7 chocolate bars afterpurchasing 6 bars giving us 6 coupons and then redeeming the 6 couponsfor one bar. This would leave us with one extra coupon. For 11 dollars, wecould have consumed 13 chocolate bars and still have one coupon left.For 12 dollars, we could have consumed 14 chocolate bars and have twocoupons left.With T=4, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the corresponding walkthrough as shown in P.146.