Write a python code to solve a differential equation in the form x' = f(x), x(0) = xo, x(t) = Rm using the fourth order Runge Kutta method. The code takes as input an object that evaluates f(x) for a given x, the initial condition xo, the time step At, and the final time T.
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![Write a python code to solve a differential equation in the form x' = f(x), x(0) = xo, x(t) = Rm using the fourth order
Runge Kutta method. The code takes as input an object that evaluates f(x) for a given x, the initial condition o, the time step
At, and the final time T.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feaef561b-28fe-45ec-ae38-ce2e56f5e589%2Fbb183fae-c2d6-4673-ae68-f93d1185db09%2Fkaimqlmk_processed.png&w=3840&q=75)
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- Computer Science Write a Java program that reads a line and a line segment and then determines whether they intersect or not. When they overlap completely, consider that as intersecting. Use variables ((lp1x, lp1y), (lp2x, lp2y)) to represent a line and ((sp1x, sp1y), (sp2x, sp2y)) to represent a line segmentWrite a Python program that would solve for the definite integral of a given function using integral approximations. Choose only one method from the following Integral Approximation Methods: Left rectangular Approximation Method (LRAM) Right Rectangular Approximation Method (RRAM) Midpoint Rectangular Approximation Method (MRAM) Trapezoidal Rule Program Specification: Your program should display the function to be integrated (Function of x, [(x)]. The function could be pre-defined in the program user-defined (ask from the user.) You may use algebraic function or transcendental functions. 2.User dx = 0.05 for the width of the slices along x 3.Ask the user for Lower Limit and Upper Limit 4.Display the iterations in tabular form 5.Display the answer of the definite integralWrite a Python program that would solve for the definite integral of a given function using integral approximations. Choose only one method from the following Integral Approximation Methods: Left rectangular Approximation Method (LRAM) Right Rectangular Approximation Method (RRAM) Midpoint Rectangular Approximation Method (MRAM) Trapezoidal Rule Program Specification: 1.Your program should display the function to be integrated (Function of x, [(x)]. The function could be pre-defined in the program user-defined (ask from the user.) You may use algebraic function or transcendental functions. 2.User dx = 0.05 for the width of the slices along x 3.Ask the user for Lower Limit and Upper Limit 4.Display the iterations in tabular form 5.Display the answer of the definite integral This is a sample output below
- In python, Problem Description:Sheldon and Leonard are physicists who are fixated on the BIG BANG theory. In order to exchange secret insights they have devised a code that encodes UPPERCASE words by shifting their letters forward. Shifting a letter by S positions means to go forward S letters in the alphabet. For example, shifting B by S = 3 positions gives E. However, sometimes this makes us go past Z, the last letter of the alphabet. Whenever this happens we wrap around, treating A as the letter that follows Z. For example, shifting Z by S = 2 positions gives B. Sheldon and Leonard’s code depends on a parameter K and also varies depending on the position of each letter in the word. For the letter at position P, they use the shift value of S = 3P + K. For example, here is how ZOOM is encoded when K = 3. The first letter Z has a shift valueof S = 3 × 1 + 3 = 6; it wraps around and becomes the letter F. The second letter, O, hasS = 3 × 2 + 3 = 9 and becomes X. The last two letters…Program a simplified Galton board in python. It is required that: The user must select the number of rows n of the board The distribution resulting from dropping the beads should be displayed on the screen. Display an animation where the number of rows n increases over time.All resulting distributions must be scaled to the interval [0, 1], so that it is possible toappreciate the convergence to the normal distribution. Consider n from 1 to 80.Alice, a friend of Mr. Bernard’s, wants to compose a song. She asks Mr. Bernard for help. Although Mr. Barnard knows nothing about music, he finds that the sequence of notes in a numbered musical notation can be expressed as an FSM with input the alphabet {1, 2, 3, 4, 5, 6, 7} (“do”, “re”, “mi”, “fa”, “so”, “la”, “ti”). a) Alice wants to compose a song that contains the pattern “15” an even number of times. Please draw an FSM that only accepts a sequence of notes that satisfies the above pattern. b)Alice changes her mind. She finds that it would be enough to just use {1, 5} (“do”, “so”) in her new song. She wants to compose a song satisfying the following two conditions: i)If the sequence of notes ends with “1”, it should contain an even number of digits. ii)If the sequence of notes ends with “5”, it should contain an odd number of digits. Please draw an FSM that only accepts the sequences of notes that satisfy the above conditions.Note that you should provide a detailed description of…
- Alice, a friend of Mr. Bernard’s, wants to compose a song. She asks Mr. Bernard for help. Although Mr. Barnard knows nothing about music, he finds that the sequence of notes in a numbered musical notation can be expressed as an FSM with input the alphabet {1, 2, 3, 4, 5, 6, 7} (“do”, “re”, “mi”, “fa”, “so”, “la”, “ti”). b)Alice changes her mind. She finds that it would be enough to just use {1, 5} (“do”, “so”) in her new song. She wants to compose a song satisfying the following two conditions: i)If the sequence of notes ends with “1”, it should contain an even number of digits. ii)If the sequence of notes ends with “5”, it should contain an odd number of digits. Please draw an FSM that only accepts the sequences of notes that satisfy the above conditions.Note that you should provide a detailed description of the FSMs in your design to show how it works. Specifically, you should describe the meaning of each stateAlice, a friend of Mr. Bernard’s, wants to compose a song. She asks Mr. Bernard for help. Although Mr. Barnard knows nothing about music, he finds that the sequence of notes in a numbered musical notation can be expressed as an FSM with input the alphabet {1, 2, 3, 4, 5, 6, 7} (“do”, “re”, “mi”, “fa”, “so”, “la”, “ti”). Alice wants to compose a song that contains the pattern “15” an even number of times. Please draw an FSM that only accepts a sequence of notes that satisfies the above pattern. Note that you should provide a detailed description of the FSMs in your design to show how it works. Specifically, you should describe the meaning of each state.Write a python function triangle(n) that prints a triangle of numbers of size n as shown below. The numbers must be printed in a field of width 3. triangle(5) will print 123 45 2345 345 45 5
- Write a program in C language to simulate tossing a “fair” coin. Allow the user to enter the number of tosses.Print the number of tosses that yield heads and the number of tosses that yield tails.What should be the percentage distribution of heads and tails? (Use the function rand_int)In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product. Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as: C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature. If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer? Our input is 77. C = (5/9)*(77 - 32) C = (5/9)*(45) C = 25 The equivalent temperature is 25 degrees Celsius. To complete the Discussion activity, please do the following: Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above). Arm length is a function of height. The circumference of a circle is a function of diameter. The height of…Write a Python function round_up that, given an integer, rounds it up the next multiple of 100. If the given number is already a multiple of 100, it is just returned. For example, round_up(234) returns 300 round_up(465) returns 500 round_up(400) returns 400 The round_up function does not read input or print output.
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