Consider the following function for 2-vector x = (x,x)“. Bold letter indicates vector f(x) = f(x ,.x) = x;'-xx;. a. Write the code to draw a 3D plot for the function f(x) in MATLAB for x, = 1:500 and x, = 1:500. So the plot will have 3 axis: x, x, and f(x) in first subplot b. Now the taylor first order approximation of f(x) is: f_ hat(x) = 3x1 - 2x2. Write the code to 3D plot the function f_hat(x) for x, subplot 1:500 and x, = 1:500 in 2nd
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- Play and practice all the functions that we listed here. What I would like you to do is to first create three vectors---a logic vector, a double vector, and a character vector, for example, x1 = c( TRUE, FALSE, TRUE) x2 = c( 0, -2.5, 1, 3, 5.9 ) x3 = c( "a1", "a2", "za", "zz", "0", "1") and apply each function to all three vectors to see what would happen. If the function requires more than one input x, then you just create other objects as needed. sum (x) sum of the elements of x prod (x) product of the elements of x max (x) maximum of the elements of x min(x) minimum of the elements of x which. max (x) returns the index of the greatest element of x which. min(x) returns the index of the smallest element of x range (x) id. than c (min(x), max (x)) length (x) number of elements in x mean (x) mean of the elements of x median (x) median of the elements of x round (x, n) rounds the elements of x to n decimals rev…Write a function (in MATLAB) with header [b] = myDec2Bin(d) where d is a positive integer in decimal and b is the binary representation of d. The output variable, b, should be a row vector of ones and zeros and the leading term must be a 1 unless the decimal input value is 0. Thank you! Test Cases: >> b = myDec2Bin(23) b = 1 0 1 1 1 >> b = myDec2Bin(38) b = 1 0 0 1 1 0I need help with programming in MATLAB.Can you create a function where cartesian coordinates (x,y,z,vx,vy,vz) are transformed into Kepler elements (a, e, i, raan, argp, f) and then create another function where those Kepler elements are tranformed back into cartesian coordinates.
- Using a built-in function, create a vector vec which consists of 20 equally spaced points that range of -pi to +pi in MATLABWrite a function to nd the prime factors of an input number, not 0. The function should take an integer and output a vector whose entries are the prime factors of the input. These entries can be repeated ie. if you multiply all the entries you should get the original number. If the input equals to 0, print an error and output the empty vector [ ]. If the input equals to 1, output just the number 1. Do not use the Matlab function factor() to solve this problem. 1in matlab What is the difference between a multiple input and() with the all() function? You cannot input a vector in all(). You can with and(). all() cannot be used for conditional and looping statements, but with and() you can. You cannot input a vector in and(). You can with all(). and() cannot be used for conditional and looping statements, but with all() you can.
- Please use matlab The Fibonacci sequence is the set of numbers where the following term is the sum of the two previous terms e.g., 1,1,2,3,5,8,13, ... If i represents the index of the next Fibonacci number in a vector A, what is the syntax required to calculate its value and store it in A?Given a vector of strings, write a C++ function that takes this vector as input parameter and return the average of lengths of all strings in the vector. Vector is passed as reference. Test the function taking a sample vector with at least 5 strings.Write a short MATLAB code that finds the number between 100 and 200 that meet the following criteria: • Odd number • Multiple of 11 or 13 Store the answers as a single vector “A” with the first number you find meeting the criteria in location A(1), the second number in A(2), and so on. Then display the resulting “A” vector.
- Given a vector of integers below, write a C++ program to subtract the sum of all elements in the vector from each element of the vector and print the modified vector elements in the output. Given vector: vector<int> v1 = {10, -18, 19, 27, -23, -1, 45, -34};Write a program in C: - Ask the user for the amount of diesel loaded in the submarine.- Asks the user for the magnitude (distance), in meters, and the heading, in degrees of thenavigation to way-point one.- Decompose the vector into x and y components and output the magnitude anddirection (North, West, South, or East are the only reliable headings on the sub’scompass) of the x component and then the y component. The x component is themagnitude multiplied by the cosine of the angle. The y component is the magnitudemultiplied by the sine of the angle. Determine compass direction depending on weatherthe vector component is positive or negative.- Calculate the amount of diesel spent to waypoint 1 and output it. Also output theamount of diesel remaining. (The submarine has a fuel capacity of 175 metric tons ofdiesel but was loaded with 1 ton in the example. The submarine spends 1 ton of dieselper 51 miles traveled.)- This step has to be repeated for another waypoint.- Ask the user for the…Write a program in C: - Ask the user for the amount of diesel loaded in the submarine.- Asks the user for the magnitude (distance), in meters, and the heading, in degrees of thenavigation to way-point one.- Decompose the vector into x and y components and output the magnitude anddirection (North, West, South, or East are the only reliable headings on the sub’scompass) of the x component and then the y component. The x component is themagnitude multiplied by the cosine of the angle. The y component is the magnitudemultiplied by the sine of the angle. Determine compass direction depending on weatherthe vector component is positive or negative.- Calculate the amount of diesel spent to waypoint 1 and output it. Also output theamount of diesel remaining. (The submarine has a fuel capacity of 175 metric tons ofdiesel but was loaded with 1 ton in the example. The submarine spends 1 ton of dieselper 51 miles traveled.)- This step has to be repeated for another waypoint.- Ask the user for the…