(b) Write a complete C program to calculate and print the values of the function f(x) at x = 1.0, 1.05, 1.10, . . . . . ,1.95, 2.0. Where, f(x) = x² + 5x - 4
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- (Practice) Write a C++ program that accepts the rectangular coordinates of two points (x1,y1)and(x2,y2), calculates the distance of each point from the origin, and calculates the distance between the two points. The distance, d, between two points is given by this formula: d=(x2x1)2+(y2y1)2F(x.y,z)=x'y'z+x'yz+xy'z'+xy'z can you simplify this and draw the diagram of the simplified functionWrite a C++ program where the user inputs two positive integers, A and B, where 5≤ A ≤10 and 20≤ B ≤30. (use user defined functions) A function to output AB (where A is multiplied by itself B times) do not use the built in “pow” function, use your own function. A function that returns the area of a rectangle of height A and width B. A function that returns the sum of odd numbers between A and B. A function to calculate AB recursively. Knowing that AB = AB-1 * A with base case A0 =1
- 2. Write a programme to find the slopes of Sin kx for 0<=x<=2*pi and k=1,3,5 using intervals of pi/ 5 and pi/10. Use forward, backward and central difference schemes. Calculate and comment on the true errors. write the code in C programming language. solve the problem in details . I will upvote for details solutionPlease Solve this Question using C++99 Version of C plus. Problem 1 (Numerical Differentiation) The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time Altitude 0 400 10 20 9200 30 40 45640 50 87370 60 70 80 90 100 160100 62070 97360 103430 127900 149630 23840 a) Use the skeleton program below. Write a function (CENTRAL) to numerically compute the velocity from the table above using the central difference scheme. Use equation (18) in the lecture note (14-Numerical Differentiation.pdf) at t=100 and use the equation below at t = 0. Make sure that you attach example runs showing the results from the computer. f(x)~ 4 f(x+h) -f(x+2h) -3 f(x) 2 h b) In the same program, write two functions (FORWARD and BACKWARD) to compute the velocity using the forward and backward difference scheme. c) Output your results in a table comparing the velocity using the…1 Write a python program that will calculate the function exp(x) Make sure your program meets the following requirements:1. The value of x can be specified and changed in the code (or as user input).2. The value of x0 can be specified and changed in the code (or as user input).3. Your program should continue to calculate the Talyor series until ϵ≤10−74. Demonstrate your program works correctly by running it for the following case: x0 = 0.0, x = 4.0. 5. Use base points, x0 = 0.0, 0.5, 1.5, 2.0, 2.5, 3.0, 3.5 and x = 4.0 to determine the number of terms, Nϵ required to get an answer that has ϵ≤10−10 Make a graph of Nϵ versus h (Note h = x-x0).
- İN C PROGRAMMİNG. Write a function to compute the following sum where x and n are the parameters of the function.Write a C program that accepts an amount in Peso from the user and converts it to its word equivalent. Your program should follow the following specifications: use user-defined functions, string, array, loops, and other useful codes input limit is maximum of 10000.00 after each display of output, ask to user if he/she wants to convert another amount (if Yes, redo, else exit)Write C code that contains a function called triangle_generator that outputs a triangle wave at a specified frequency (in hertz) using a specified sample rate (in hertz), and for a specified time duration (in seconds). These parameters are float type. The output you generate are floating point numbers between -1 and 1, one number per output line. The math trig functions in C use radians while all the specifications here are in hertz (cycles per second). One hertz is 2*Pi radians.
- 2. Write a program that implements the first order (linear) interpolations. 3. Use the program to apply first order (linear) interpolation to the function f(x)=sin(x²) initially calculated in 10 uniform points in the interval [0.0, 5.0]. GWrite a C++ function float calculate(int x) that return the value of xsin(x) + 2x+ cos(x)Write a C++ program that will print the following triangle of numbers in a function. (Please use a function to print it) 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9