Write a triangle (x0, y0, x1, y1, x2, y2) function to draw the triangle with vertices (x0, y0), (x1, y1), and (x2, y2). Use your function to draw some triangles.

Run my function on {(1,4),(0,6),(3,5),(2,9),(7,8)}. Is the output what you expect? Find the problem and fix it, writing a correct version of the function. Again, use the same function name, i.e., count_crossings_and_nestings. Demonstrate that the new version works by testing it on the example provided. Now write a well-documented version of your function count_crossings_and_nestings. Add a document string and plenty of comments.

It cannot take decimal points as input. Please fix it.

Let x and y be two numpy arrays with x.shape = (6, 4, 3, 2) and y.shape = (3, 2). What is the shape of numpy.maximum(x, y)?

Using Python, I am trying to write a loop that will provide the minimum of this function. I have provided the problem statement (below) and my code as I have written it so far in the attached image. Create a function that will evaluate ?(?)=?2+4?+4. Find the minimum of the function in the interval (-40, 40). Do this by solving ?(?) for 500 values of x between -40 and 40 and finding the least. Do NOT use any built-in function to find the minimum nor to obtain 500 values of x.

Create a square matrix that has ones in the first row and first column, and whose remaining elements are the sum of two elements: the element above and the element to the left. Your program should be able to make a matrix of any size. Do this exercise using a loop (for or while) with break/continue statements as necessary.

You are working as a software developer on NASA's Mars Explorer robotic rover project. You need to implement some code to compute the surface area of the 3D, tube-shaped part shown below: a cylinder of radius r and height h (in units centimeters) with a hollowed-out center also in the shape of a cylinder with radius n and height h (also in cm). Both the outside and the inside of the tube will need to be coated in a thin layer of gold, which is why we need to know its surface area. Write code that will compute and print the total surface area of the shape. n esc r Examples: Inputs r = 10, n = 8.5, h = 22.5 r = 9.25, n = 6.8, h r = 4.15, n = 3.9, h = 11.7 = 12.16 X h Output Value 2789.7342763877364 1473.347264273195 604.4267185874082 2 3 80 F3 000 DO F4 ✓0 F5 完成时间:18:42 PNEUE MacBook Air F6 F7 DII F8 tv 8 F9 F10 F

The edge-detection function ( detectEdges ) described in Chapter 7 and shown below returns a black and white image. Think of a similar way to transform color values so that the new image is still in its original colors but the outlines within it are merely sharpened. def detectEdges(image, amount): ""'Builds and returns a new image in which the edges of the argument image are highlighted and the colors are reduced to black and white.""" def average(triple): (r, g, b) = triple return (r + g + b) // 3 (0, 0, 0) (255, 255, 255) blackPixel = whitePixel = new = image.clone() for y in range(image.getHeight() - 1): for x in range(1, image.getWidth()): image.getPixel(x, y) image.getPixel(x oldPixel = 1, y) leftPixel bottomPixel = image.getPixel(x, y + 1) oldLum = average(oldPixel) leftLum = average(leftPixel) bottomLum = average(bottomPixel) if abs(oldLum · abs (oldLum - bottomLum) > amount: new.setPixel(x, y, blackPixel) leftLum) > amount or \ else: new.setPixel(x, y, whitePixel) return new…

You can see in the above display, we first sort each row of the 2D array; we then take the transpose of a two D array, i.e., all the row elements becoming the column elements; we then sort each row of the 2D again. If you read the final array, each row is sorted; each column is also sorted. The smallest element obviously is the 1st element of the two D array and the last element is the largest element of a two D array. Let us now look at the following UML diagram: (Note that additional methods are allowed; proposed methods and instance variable cannot be changed)   Main method firstly constructs a 2D array of certain sizes and then construct a TwoD object and drive the task according to the above runtime interactions and displays. TwoD class has only one instance variable which is a two D array of numbers ( int or double). The constructor must do some “deep” copying.  A copy constructor. The other three methods are obvious in definition: to sort each row, to rotate the 2D array (i.e.,…

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