finally inversion is applied. Write a program
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In a 3-dimensional space, point P (coordinates x, y and z) is rotated 67 degrees counterclockwise around the z axis, then projection in the xz plane and finally inversion is applied. Write a program that calculates the new coordinates of point P (x', y' and z') with numpy.
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- python if we put a grid on the surface of Earth with a grid spacing of dx and dy in the longitude and latitude directions, respectively, the grid area (approximated as dx*dy) varies with latitude. Explain why that is.Write a PYTHON program with proper explanation and output for the following. It is related to Computer Graphics. Write a program to clip a polygon using Sutherland Hodgman algorithm.Write a program to calculate the surface area and volume of a square pyramid. A square pyramid has a base that is square and all triangle faces are congruent isosceles triangles. (An isosceles triangle is a triangle in which two of the sides are equal. Length of the base: a Height of the pyramid: h Volume = a2h/3 Slant height, s = sqrt(h2 + (a/2)2) This is the Pythagorean Theorem part. Area of one pyramid side = s*a/2 Here are my calculations: Test Case #1 Height(h): 5.0’ Base(a): 2.5’ Volume = (2.5**2) * (5/3) (6.25) * (1.66) = 10.375 cubic feet Slant Height = math.sqrt(5**2) + (2.5/2)**2) Sqrt(25+1.5625) Sqrt(26.5625) = 5.154 feet Pyramid (not including base) = (5.154) * (2.5/2) * 4 (5.154) * (1.25) * (4) = 25.769 sq. Ft. I have attached a screenshot of my program I have so far. When I run the program, the output doesn't match what I have for the surface area and volume, am I missing something?
- Write a program to calculate the surface area and volume of a square pyramid. A square pyramid has a base that is square and all triangle faces are congruent isosceles triangles. (An isosceles triangle is a triangle in which two of the sides are equal. Length of the base: a Height of the pyramid: h Volume = a2h/3 Slant height, s = sqrt(h2 + (a/2)2) This is the Pythagorean Theorem part. Area of one pyramid side = s*a/2 Test Case #1 Height(h): 5.0’ Base(a): 2.5’Write a program to calculate the surface area and volume of a square pyramid. A square pyramid has a base that is square and all triangle faces are congruent isosceles triangles. (An isosceles triangle is a triangle in which two of the sides are equal. Length of the base: a Height of the pyramid: h Volume = a2h/3 Slant height, s = sqrt(h2 + (a/2)2) This is the Pythagorean Theorem part. Area of one pyramid side = s*a/2 For this program you are to determine two things about a square pyramid. 1) the surface area of the four sides. 2) the volume. Do not include surface area of the base. Test case 1: Height: 5.0' Base: 2.5' Test case 2: Height 2.5 Base: 4.3' The program asks the user to enter the pyramid height (in feet) and length of the base (in feet). Your program will need to determine surface area, and volume by using pythagorean theorem. Your output should neatly show the height, base, total surface area, and volume of the pyramid using 33 decimal place of…Write a program that reads an integer between 0 and 1000 and multiplies all the digits in the integer. For example, if an integer is 932, the multiplication of all its digits is
- In python, Problem Description:Sheldon and Leonard are physicists who are fixated on the BIG BANG theory. In order to exchange secret insights they have devised a code that encodes UPPERCASE words by shifting their letters forward. Shifting a letter by S positions means to go forward S letters in the alphabet. For example, shifting B by S = 3 positions gives E. However, sometimes this makes us go past Z, the last letter of the alphabet. Whenever this happens we wrap around, treating A as the letter that follows Z. For example, shifting Z by S = 2 positions gives B. Sheldon and Leonard’s code depends on a parameter K and also varies depending on the position of each letter in the word. For the letter at position P, they use the shift value of S = 3P + K. For example, here is how ZOOM is encoded when K = 3. The first letter Z has a shift valueof S = 3 × 1 + 3 = 6; it wraps around and becomes the letter F. The second letter, O, hasS = 3 × 2 + 3 = 9 and becomes X. The last two letters…Write a Python program, that determines the solution of the equation by using the False Position method. 8=4.5 (x – sin(x)) in an interval [1,3] The solution should have a tolerance of less than 0.001. Create a table that displays the values of a, b, xNS, f(xNS), and the tolerance for each iteration of the false position process.Write a program that reads two matrices of integers. It then generates the sum and difference of the two matrices. The sum of the two matrices of the same size is a matrix with elements that are the sums of the corresponding elements of the two given matrices. Addition is not defined for matrices of different sizes. If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, to subtract matrix B from matrix A, we simply subtract corresponding elements. Note: Use array function
- Write a program in python to set a same dice on the face every time when the dice is rolled and assume the dice is rolled 3 times.Write a python program that reads a positive integer less than or equal to 10, and prints the factorials of the numbers from 1 to n, as illustrated belowPlease help me fix my python program: (see image attached for error message) import random def nucleotide(str1, X): #1. Take two parameters, a nucleotide sequence as a string, and an integer. #2. Check for invalid characters (not ATCG). for i in str1: if i != 'A' or i != 'T' or i != 'G' or i != 'C': sys.exit("Invalid nucleotide") #2. If invalid character is found, exit function #3. Make the entire string lower case str1 = str1.lower() lst = list(str1) #Convert string to list #4. for i in range(0,X): num = len(str1) charPosition = random.randint(0,num-1) #Choose a character position in the string at random charNucleotide = lst[charPosition] #Determine which nucleotide is at that position. randomNucleotide = lst[random.randint(0,3)] #At random, select a different nucleotide and replace the previous nucleotide with the new one. lst[charPosition] = randomNucleotide.upper()…