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- Design a program with extension .c that calculates the final grade of a student withbased on:• The grade of 3 exams that are averaged and whose value is 80% of the gradefinal.• The grade of a final exam whose value is 15%• The qualification of a final work whose value is 5%Use the appropriate mathematical function to round the final grade to the nearest integer.Using the C++ programming language. At the station the child marks the colour of any bogie of any colour from V-Violet, Indigo, B-Blue, G-Green, Y-Yellow, O-Orange, R-Red. A few trains come and go and are provided with the S series. The stationmaster's favourite train consists of bogies with a combination of colours identified by the series F. It is noted that at the station, every hour, passes X bogies. You just have to say the hour when the stationmaster's favourite train visited for the first and last time Input: 2 VIBGYOYORBGIIOYVVVRYOYOV 6 YOYO VIBGYOYORBGIIOYVVVRYOYOV 6 VBB Output: 14 -1Use Sage to program Exercise 5.In 1202 AD, Leonardo Pisano asked the following famous problem:A certain man had a pair of rabbits together in a certain enclosedplace, and one wishes to know how many are created from the pair inone year when it is the nature for of them in a single month to bearanother pair, and in the second month those born bear also. Becausethe abovewritten pair in the first month bore, you will double it. therewill be two pairs in one month. One of these, namely the first, bears inthe second month, and thus there are in the second month three pairs;of these in one month two are pregnant, and in the third month 2pairs of rabbits are born, and thus there are 5 pairs in the month;...Explain how the rabbits reproduce. Create a list F where F[x] is the number ofrabbits in month x. (so F[0]=1, F[1]=2) Find F[12]. Find F[100].
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- Make use of the functions glPolygonMode() and glCullFace() to write a program that can display the front face and back face of a square alternately: It displays the front face in red. When clicking the mouse at the square, it displays the back face in green. When clicked again at the square, it displays the front face again, and so on.Write a program in c++ that will allow a user to find the hypotenuse of a right triangle using the Pythagorean Theorem. Note: In triangle ABC, given the figure, side c is the hypotenuse.Implement the following functions using c language. The functions return a real number: (a) Function Celsius returns the Celsius equivalent of a Fahrenheit temperature (Hint: 0 Celsius is equal to 32 Fahrenheit and 100 Celsius is equal to 212 Fahrenheit). (b) Function Fahrenheit returns the Fahrenheit equivalent of a Celsius temperature. Use these functions to write a program that prints charts showing the Fahrenheit equivalent of all Celsius temperatures between 0 and 100 degrees, and the Celsius equivalent of all Fahrenheit temperatures between 32 and 212 degrees. Print the output neatly in a table.
- Matlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of to 125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)-ho+vot-gt², t20 where g -9.81 m/s². The time t-0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of Amax meters at time t = tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, max, when the height function, h(t), attains a maxima, compute the time at which this occurs, max, and the maximum height,…Matlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of t125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)- ho+vot-gt², t20 where g = 9.81 m/s². The time t=0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of himax meters at time t-tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the z and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, Amax, when the height function, h(t), attains a maxima, compute the time at which this occurs, tmax, and the maximum…A. The polynomial equations for the velocity and altitude of an air-bound object are given as under. h(t)= -0.15t +10r³-120² +510t + 700 v(t)=-0.45t +30t²-480t +700 Write a program in C++ to determine the values of height h(t) and velocity v(t) for this air-bound object for the time values varying from t=0 to t-150 minutes with an increment of 5 seconds. The program displays the output in a three-column format as (r, h(t), v(t)). seconds 150 X 60 Hint: Consider changing time from minutes to seconds first.