(a) For the function y = x - ex + x2, calculate the value of y for the following values of x using element-by-element operations: -3,-2, -1, 0, 1,2, 3.
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Q: Give the expression of the functions F1, F2, F3 and F4 generated in the following design.
A: Give the expression of the functions F1,F2,F3 and F4 generated in the following design
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- Construct the data using the sample() function: # change n <- your id/100n <- 12345/100a <- sample(n, 30, replace = T)b <- sample(n, 30, replace = T)c <- sample(n, 30, replace = T)d <- sample(n, 30, replace = T)mydata <- data.frame(a,b,c,d)head(mydata) Create a loop over the columns and create a histogram of the data in each column.• First, set up a 2 by 2 plotting space with par(mforw())• Next, write a loop to create four histograms for a,b,c, and d.Construct the data using the sample() function: # change n <- your id/100n <- 12345/100a <- sample(n, 30, replace = T)b <- sample(n, 30, replace = T)c <- sample(n, 30, replace = T)d <- sample(n, 30, replace = T)mydata <- data.frame(a,b,c,d)head(mydata) Create a loop over the columns and create a histogram of the data in each column.• First, set up a 2 by 2 plotting space with par(mforw())• Next, write a loop to create four histograms for a,b,c, and d. Write in R. Please and thank you.python Create a dict mapping keys (N = 100, 200, 400, ... 51200) to arrays with linear entries (length N) derived from random sampling from a uniform distribution [0, 100000].
- The following is my code in MATLAB to transform kepler elements to cartesian coordinates. Can you give me the code of a function that will transform cartesian coordinates back to kepler elements that will match the inital kepler elements? mu = 3.986004415e5;a = 2.1656e03;ecc = 0.7404;inc = 123.8490;raan = 127.5686;argp = 180.0180;f = 180; R = orbitDCM(inc,raan,f+argp); %Create the direction cosine matrixp = a*(1-ecc^2); %Semi latus rectumh = sqrt(mu*p); %Orbital angular momentumrOrb = [p/(1+ecc*cosd(f));0;0]; %Position in orbital framevelOrb = [mu*ecc/h*sind(f);h/rOrb(1);0]; %Velocity in orbital framerxyz = R*rOrbvelxyz = R*velOrb function R = orbitDCM(inc,omeg,th)%Creates the direction cosine matrix for an orbit. The matrix can then%be used to convert between orbit frame coordinates (rhat,theta_hat,h_hat)%and inertial coordinates (x,y,z).R = eye(3);R(1,1) = cosd(omeg)*cosd(th)-sind(omeg)*cosd(inc)*sind(th);R(2,1) = sind(omeg)*cosd(th)+cosd(omeg)*cosd(inc)*sind(th);R(3,1) =…Please help computer graphics question Let Z be the set of real integers and R the set of real numbers. The sampling process may be viewed as partitioning the x-y plane into a grid, with the central coordinates of each grid being from the Cartesian product Z2, that is a set of all ordered pairs (zi, zj), with zi and zj being integers from Z. Then, f(x, y) is a digital image if (x, y) are integers from Z2 and f is a function that assigns a gray-level value (that is, a real number from the set R) to each distinct coordinate pair (x, y). What happens to the digital image if the gray levels also are integers? a) The Digital image then becomes a 2-D function whose coordinates and amplitude values are integers b) The Digital image then becomes a 1-D function whose coordinates and amplitude values are integers c) The gray level can never be integer d) None of the mentionedIn MATLAB, Given A1 = randi(10,[2,2,1]) and A2 = randi(13,[2,2,1]) Do the following: a) Create A3 the by multiplying the transpose of A2 and A1 b) Create A4 using element wise multiplication of the transpose of A1 and A2,
- Given two arrays X and Y of positive integers, find the number of pairs such that xy > yx (raised to power of) where x is an element from X and y is an element from Y. Example 1: Input: M = 3, X[] = [2 1 6] N = 2, Y[] = [1 5]Output: 3Explanation: The pairs which follow xy > yx are as such: 21 > 12, 25 > 52 and 61 > 16 .Example 2: Input: M = 4, X[] = [2 3 4 5]N = 3, Y[] = [1 2 3]Output: 5Explanation: The pairs for the given input are 21 > 12 , 31 > 13 , 32 > 23 , 41 > 14 , 51 > 15 . Your Task:This is a function problem. You only need to complete the function countPairs() that takes X, Y, M, N as parameters and returns the total number of pairs. Expected Time Complexity: O((N + M)log(N)).Expected Auxiliary Space: O(1). Constraints:1 ≤ M, N ≤ 1051 ≤ X[i], Y[i] ≤ 103Write a function in C swapRows(): which takes two 4x4 array as an argument and swap the values of its even rows with odd rows . Expected input: 5 2 3 1 4 8 9 0 -1 3 8 -2 99 102 33 56 Expected Output: 4 8 9 0 5 2 3 1 99 102 33 56 -1 3 8 -2A grid needs a system for numbering the tiles in order to allow random-access lookup.For instance, the rows and columns of a square grid provide a natural numbering for the tiles. Create plans for hexagonal and triangular grids. Create a rule for identifying the neighbourhood (i.e., nearby tiles) of a certain tile in the grid using the numbering scheme. For instance, the neighbourhood of tile I j in a four-connected square grid with indices of I for rows and j for columns may be described as neighbourhood(i, j) = I 1, j, I j 1.
- USING PYTHON: Function takes a nested list as input, and returns True if the nested list contains only integers between 0 and 255, and each row of the matrix has the same length. Example: >>>image([[1, 2, 3], [4, 5, 6], [7, 8, 9]])True >>> image([["0x5", "200x2"], ["111x7]]) FalseThe Burrows-Wheeler transform (BWT) is a transformation used in high-throughput genomic sequencing and data compression methods like bzip2. Create a SuffixArray client that performs the following computation of the BWT in linear time: Consider the N-by-N matrix where each row includes a different cyclic rotation of the original text string, given a string of length N (terminated by a special end-of-file character $ that is smaller than any other character). Order the sections alphabetically. The ordered matrix's rightmost column is the Burrows-Wheeler transform. The BWT of Mississippi, for instance, is ipssm$pissii. The BWT is inverted by the Burrows-Wheeler inverse transform (BWI). For instance, mississippi$ is the BWI of ipssm$pissii. Additionally, create a client that, given a text string's BWT, calculates theTODO 3: Invoke the gaussian() function, which accepts x_values, mu, and sig. Save the results in the variable y_values. # TODO 3 y_values = display(y_values) todo_check([ (y_values.shape == (120,),'y_values does not have the correct shape of (120,)'), (np.all(np.isclose(y_values,…