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- On a piano, a key has a frequency, say f0. Each higher key (black or white) has a frequency of f0 * rn, where n is the distance (number of keys) from that key, and r is 2(1/12). Given an initial key frequency, output that frequency and the next 4 higher key frequencies. Output each floating-point value with two digits after the decimal point, which can be achieved by executingcout << fixed << setprecision(2); once before all other cout statements. Ex: If the input is: 440.0 (which is the A key near the middle of a piano keyboard), the output is: 440.00 466.16 493.88 523.25 554.37 Note: Use one statement to compute r = 2(1/12) using the pow function (remember to include the cmath library). Then use that r in subsequent statements that use the formula fn = f0 * rn with n being 1, 2, 3, and finally 4.On a piano, a key has a frequency, say f0. Each higher key (black or white) has a frequency of f0 * rn, where n is the distance (number of keys) from that key, and r is 2(1/12). Given an initial key frequency, output that frequency and the next 4 higher key frequencies. Output each floating-point value with two digits after the decimal point, which can be achieved by executingcout << fixed << setprecision(2); once before all other cout statements. Ex: If the input is: 440.0 (which is the A key near the middle of a piano keyboard), the output is: 440.00 466.16 493.88 523.25 554.37 Note: Use one statement to compute r = 2(1/12) using the pow function (remember to include the cmath library). Then use that r in subsequent statements that use the formula fn = f0 * rn with n being 1, 2, 3, and finally 4. I am having trouble putting them on one sentence line.Question 4. Write a Program to check any number is SPY number or not ?HINT: A spy number is a number where the sum of its digits equals the product of its digits. For example:1124 is a spy number, because the sum of itsdigits is 1 + 1 + 2 + 4 = 8 andthe product of its digits is 1 * 1 * 2 * 4 = 8 is equal.Difficulty Level : EasySample Input: 2114 Output: Given number is spy numberDM your codes. We will pi.
- Finish the function below that takes in the length of the two parallel sides of a trapezoid a and b, which are separated by a distance h, and returns its area. In [ ]: defarea_of_trapezoid(a,b,h):# YOUR CODE HEREraiseNotImplementedError() In [ ]: """Check that area_of_triangle returns the correct output for several inputs""" assert abs(area_of_trapezoid(3,3, 5) - 15) <=.1 assert abs(area_of_trapezoid(3,4, 5) - 17.5)On a piano, a key has a frequency, say f0. Each higher key (black or white) has a frequency of f0 * rn, where n is the distance (number of keys) from that key, and r is 2(1/12). Given an initial key frequency, output that frequency and the next 4 higher key frequencies. Output each floating-point value with two digits after the decimal point, which can be achieved by executingcout << fixed << setprecision(2); once before all other cout statements.A robot is initially located at position (0, 0) in a grid [−5, 5] × [−5, 5]. The robot can move randomly in any of the directions: up, down, left, right. The robot can only move one step at a time. For each move, print the direction of the move and the current position of the robot. If the robot makes a circle, which means it moves back to the original place, print “Back to the origin!” to the console and stop the program. If it reaches the boundary of the grid, print “Hit the boundary!” to the console and stop the program. A successful run of your code may look like: Down (0,-1) Down (0,-2) Up (0,-1) Left (-1,-1) Left (-2,-1) Up (-2,0) Left (-3,0) Left (-4,0) Left (-5,0) Hit the boundary! or Left (-1,0) Down (-1,-1) Right (0,-1) Up (0,0) Back to the origin! Instructions: This program is to give you practice using the control flow, the random number generator, and output formatting. You may not use stdafx.h. Include header comments. Include <iomanip> to format your output. Name…
- Knowing that (x + 1)2 = x2 + 2x + 1,and that multiplication is more time consuming than addition, write an efficientprogram that displays the first ten natural numbers and their squares. Knowingthat (x + 1)3 = x3 + 3x2 + 3x + 1, the same process can be followed to displaythe cubes of these numbers.Here is a sample run: 0^2 = 01^2 = 12^2 = 4...8^2 = 649^2 = 8110^2 = 100vvvHarry 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 2Output4Harry 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…Suppose you save $100 each month in a savings account with annual interest rate 3.75%. Thus, the monthly interest rate is 0.0375/12 = 0.003125. After the first month, the value in the account becomes 100 * (1 + 0.003125) = 100.3125, after the second month, the value in the account becomes (100 + 100.3125) * (1 + 0.003125) = 200.938, after the third month, the value in the account becomes (100 + 200.938) * (1 + 0.003125) = 301.878 and so on. Write a Java program that prompts the user to enter a monthly saving amount and displays the account value after the sixth month. (You will use a loop to simplify the code and display the account value for any month.) Sample Output:Enter the monthly saving amount: 100After the first month, the account value is 100.3125After the second month, the account value is 200.9384765625After the third month, the account value is 301.8789093017578Note: The computation should be until 12 months.
- Question 4. Write a Program to check any number is SPY number or not ?HINT: A spy number is a number where the sum of its digits equals the product of its digits. For example:1124 is a spy number, because the sum of itsdigits is 1 + 1 + 2 + 4 = 8 andthe product of its digits is 1 * 1 * 2 * 4 = 8 is equal.Difficulty Level : EasySample Input: 2114 Output: Given number is spy numberDM your c.Some people remain old fashioned and John is one of them. He doesn't like the new smart phones with full keypads and still uses the old keypads which require you to tap a key multiple times to type a single letter. For example, if the keyboard has two keys, one with the letters "adef" and the other one with the letters "zyx", then typing 'a' requires one keystroke, typing 'f' requires four keystrokes, typing 'y' requires two keystrokes, and so on. He recently moved to a new country where the language is such that his keypad is not the most efficient. In every language some characters occur more often than others. He wants to create a specific keyboard for this language that uses N different letters. He has a large body of text in this language, and has already analyzed it to find the frequencies of all N letters of its alphabet. You are given an array 'frequencies' with N elements. Each element of frequencies is the number of times one of the letters in the new language appears in the…Consider the block of code below and find how many times line 8 gets executed when input has values: 5, 6, 11, 12 int input;bool ok = true; while( ok ){ cin >> input; if( input > 6 || input < 9 ) ok = false; // line 8}