(Demonstrate cancellation errors) A cancellation error occurs when you are manipulating a very large number with a very small number. The large number may cancel out the smaller number. For example, the result of 100000000. 0 + 0. 000000001 is equal to 100000000. 0. To avoid cancellation errors and obtain more accurate results, carefully select the order of computation. For example, in computing the following summation, you will obtain more accurate results by computing from right to left rather than from left to right:
Write a
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- (Algebra: solve 2 x 2 linear equations) You can use Cramer's rule to solve the following 2 x 2 system of linear equation: ax + by = e ed – bf af- ec ad - bc cx + dy = f ad – bc y = Write a program that prompts the user to enter a and f and display the result. If ad - bc is 0 b, c, d , e, , report that The equation has no solution.arrow_forward(Algebra: solve 2 x 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ed – bf ax + by = e cx + dy = f af - eс y ad – bc %3D ad – bc Write a program that prompts the user to enter a, b, c, d, e, and f, and displays the result. If ad – bc is 0, report that "The equation has no solution."arrow_forward"NEED ONLY CODE NO EXPLANATION" Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output. Input: 4 2 2 Output 4arrow_forward
- Alert dont submit AI generated answer.arrow_forward(Financial: credit card number validation) Credit card numbers follow certain pat- terns. A credit card number must have between 13 and 16 digits. It must start with: 4 for Visa cards 5 for Master cards 37 for American Express cards 6 for Discover cards In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustra- tion, consider the card number 4388576018402626): 1. Double every second digit from right to left. If doubling of a digit results in a two-digit number, add up the two digits to get a single-digit number. 4388576018402626 → 2 * 2 = 4 → 2 * 2 = 4 → 4 * 2 = 8 → 1 * 2 = 2 6 * 2 = 12 (1+ 2 = 3) → 5 * 2 = 10 (1+ 0 = 1) → 8 * 2 = 16 (1 + 6 = 7) → 4 * 2 = 8arrow_forward(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1 + 2 + 3 + 4 = 10 and 1 + 0 = 1, while 1235 is not (1 + 2 + 3 + 5 = 11 and 1 + 1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise notarrow_forward
- (Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1+2+3+4 = 10 and 1 +0 = 1, while 1235 is not (1 +2+ 3 +5 = 11 and 1 +1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: Enter a positive integer number: 30 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136 145 154 163 172 181 190 199 208 217 226 235 244 253 262 You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise notarrow_forwardPlease answer this, Thank you!arrow_forwardWrite code that iterates while userNum is less than 12. Each iteration: Put userNum to output. Then, put "/" to output. Then, assign userNum with userNum multiplied by 3.arrow_forward
- 1) Simple Calculator: In Python, implement a simple calculator that does the following operations: summation, subtraction, multiplication, division, sqrt, power, natural log and abs. a) Follow the instructions below: To work with the calculator, the user is asked to enter the first number, then the operation, and finally, a second number if required. Your code has to recognize the need for the second number and ask for it if required. After performing one operation, the calculator prints the output of the operation. After performing one operation, the calculator must not exit. It has to start again for the next operation. The calculator will be closed if the user writes 'e' as any input. Use functions to perform the operations and the appropriate conditions to prevent common errors such as entering characters as one of the numbers etc. b) Run your code and provide the results for at least one example per operation. - -arrow_forward(PYTHON) A Krishnamurthy number is a number which sum of the factorial of its digits is equal to the number itself. For example: Let us consider the number 145. Factorial sum = 1! + 4! + 5! = 1 + 24 + 120 = 145. Therefore 145 is a Krishnamurthy number. Other examples include: 1, 2, 40585. Write a program that does the following: • asks the user to input an integer. • computes whether the number is a Krishnamurthy number. • then finally prints the result. Note: You are not allowed to use the built-in function math.factorial.arrow_forwardContext: Using Python, I am also a beginner in programming. Having a hard time completing this practice and assisstance is appreciatedarrow_forward
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