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A simple AC generator consists of 20 coils of wire with an area of 1000 cm² and placed in a region where the magnetic field is 0.5 T. What would be the rotational frequency to generate a peak electromotive force of 220 V?

Write a program that reads in 10 midday temperatures for Port Elizabeth, for 10 consecutive days.

Only temperatures higher than 0 and less than 45 are valid (working with integer values for

temperatures). It must calculate and display the following:

• The warmest temperature

• The average temperature

• The number of days that the temperature was higher than 30

• The list of temperatures entered



An element with mass 290 grams decays by 13.2% per minute. How much of the element is remaining after 14 minutes, the nearest of a gram?


By examining the determinant of the coefficient matrix, show that the following system has a nontrivial solution if and only if α = β


x + y + αz = 0


x + y + βz = 0


αx + βy + z = 0

write a c++ program that initializez 20 elements the program will ask the user to enter a number checks if it is an element in array


If the characteristic polynomial of a matrix A is p(λ) = λ2+ 1, then A is invertible


Input a non-zero positive integer.


Using while loop, print out each digit of the inputted integer in separate lines, starting from its rightmost digit until the leftmost digit of the number.


Tip #1: Use % 10 to get the rightmost digit. For example, if you do 412 % 10, then the result would be the rightmost digit, which is 2.


Tip #2: On the other hand, use / 10 to remove the rightmost digit. For example, if you do 412 / 10, then the result would be 41.


Tip #3: You'd have to repeat Tip #1 and Tip #2 inside the while() loop for this problem while the inputted integer is not yet 0.


An n x n matrix with fewer than n distinct eigen values is not diagonalizable


You are on the south side of a river that is 100m wide and following at 2m/s towards the east. Your boat can travel at 5m/s relative to the water. You want to land your boat on the north shore of the river at a point that is 40m [w] of your original position. Draw and label a diagram of the situation


1.How much heat is absorbed by liquid water that weighs 550 grams as it is heated from 25℃ to 95℃ ?


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