Develop a program that will evaluate the following function for -0.9 < x< 0..9 in steps of 0.1, f(x) = (1+x²)-1/2. Also plot the graph.
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A: Answer i. plot of V vs r in the range [6,40]
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A: Answer (i). plot of V vs r in the range [6,40]
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Write code in Matlab.
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- Consider the graph depicted above. Decide whether the following statements are true (T) or false (F): The sequence <a, b, f, d> is a circuit There is a path of length 7 in the graph above In the graph above there is a walk of length 10 that involves only the nodes a and b The sequence <a, b, c, f, h> is a walk The longest path in the graph is of length 9Using Matplotlib (based on python), write a code that takes the input of two different functions. The first function should be displayed first on a graph. Program such that the graph gradually transforms into the second function.a. Plot the function f(x)=x2-2x-3. [ -1,3]b. Title of the graph “The graph f(x)=x2-2x-3. “c. Sample as much as possible points to make the graph smooth.d. Label x (x-axis) and y (y- axis) using syntax command USE MATLAB CODE ONLY
- Use total graphs to write program for the following in the picture: - draw using any shape (triangle circle,etc) - You may draw both objects on the same graphics screen using one program, however, make certain both object we made on the same screen - Please explain each step Without intersecting lines, draw the directed graph: Where: Let Y = {a, b, c, d, e} Z = {(a, a), (b, a), (d, b), (d, c), (c, c), (e, a), (a, d), (c, e), (e, b), (b, d)}The sphere below has a surface Area formula as SA and volume as V. Answer the following question. i. Plot a graph of SA vrs r for r=6 to 40 with a change in r as 0.2 ii. Plot a graph of SA vrs r for r=6 to 40 with a change in r as 0.2 iii. Write a c++ code to solve for i. iv. Write a c++ code to solve for ii
- User must take inputs from execution C++ program to implement a heuristic to find the vertex cover of a graph Graph is square image coordinates four side coordinates are 1,2,3,4.I use this code but I cant get the first graph from the picture, I get second graph. Why?? Code: t=(0:0.5:20); % t is a vector which contains time values from 0 to 20s with a step size of 0.5a=sin(t); % a is a sin(t) functionx=pi/6:15:pi/2; % phase difference φ for 30,45,60,90b=sin(t+x); % b is a sin(t+x) funcion plot(t,a) % plot the sin(t) function with respect to ttitle('sin(t) versus Time') % add title to graphxlabel('time') % add x-label to the graphylabel('sin(t)') % add y-label to the graphlegend('sin(t)') % add legend to the graph figure % to plot multiple linesplot(t,a,t,b,'--') % plot the sint(t) & sin(t+x) function with respect to ttitle('Function versus Time') % add title to the graphxlabel('time') % add x-label to the graphylabel('Function') % add y-label to the graphlegend('sin(t)','sin(t+x)') % add legend to the graph % Create a figure divided into four subplotssubplot(2,2,1) % divides the current figure into an 2-by-2 grid and creates axes in the position…One can manually count path lengths in a graph using adjacency matrices. Using the simple example below, produces the following adjacency matrix: A B A 1 1 B 1 0 This matrix means that given two vertices A and B in the graph above, there is a connection from A back to itself, and a two-way connection from A to B. To count the number of paths of length one, or direct connections in the graph, all one must do is count the number of 1s in the graph, three in this case, represented in letter notation as AA, AB, and BA. AA means that the connection starts and ends at A, AB means it starts at A and ends at B, and so on. However, counting the number of two-hop paths is a little more involved. The possibilities are AAA, ABA, and BAB, AAB, and BAA, making a total of five 2-hop paths. The 3-hop paths starting from A would be AAAA, AAAB, AABA, ABAA, and ABAB. Starting from B, the 3-hop paths are BAAA, BAAB, and BABA. Altogether, that would be eight 3-hop paths within this graph. Write a program…
- Using tables, find the sum of products of expansions of the following Boolean functions. F (x, y, z) = (x +y + z)’y F (x, y, z) = (x +y) +(xy) Draw graph(G) of the following values. G= (V, E) where V = {a, b, c, d} and E = {{a, b}, {a, c},{b,a},{c,a} {b, c},{c,b} {c, d},{d,c}} Find the degree of vertex of the above graph.Although the plot function is designed primarily for plotting standard xy graphs, it can be adapted for other kinds of plotting as well. b. Make a plot of the curve, which is defined parametrically by the equations x = 2cosθ + cos2θ, y = 2sinθ - sin2θ, where 0 < θ < 2π. Take a set of values of θ between zero and 2π and calculate x and y for each from the equations above, then plot y as a function of x. b. Taking this approach a step further, one can make a polar plot r = f(θ) for some function f by calculating r for a range of values of θ and then converting r and θ to Cartesian coordinates using the standard equations x = r cosθ, y = r sinθ. Use this method to make a plot of the function r = ecosθ – 2 cos(4θ) + sin5 (θ/12) in the range 0 <= θ <= 24π. use python code to answer the highlight oneGiven is a strictly increasing function, f(x). Strictly increasing meaning: f(x)< f(x+1). (Refer to the example graph of functions for a visualization.) Now, define an algorithm that finds the smallest positive integer, n, at which the function, f(n), becomes positive. The things left to do is to: Describe the algorithm you came up with and make it O(log n).