3

  1. Total Resistance
    Develop a program that calculates the total resistance of n parallel resistors like in the schematic below.
    File:Resistors in parallel.svg
    The program should use a separate function for the actual calculation. The total resistance can be calculated with this formula: Rtotal=1i=1n1Ri
    Name the source file: parallel_resistors.c
  2. Count Matching Elements
    Write a function int countNumInArray(int array[], int dimension, int number) that returns how many times the given number occurs in the array. For example
    int array[] = {4, 1, 7, 5, 4, 1, 4, 2, 7};
    countNumInArray(array, 9, 5); // returns 1
    countNumInArray(array, 9, 4); // returns 3
  3. Find Maximum
    Write a function int max(int array[], int dimension) that takes an array of integers and its dimension and returns the array's highest number. Try to determine a way to figure out the number of elements in the array inside the function max(.). You may assume that the passed array is never empty.
    int array[] = {4, 1, 7, 5, 4, 1, 4, 2, 7};
    max(array, 9); // returns 7
  4. Determine Prefix Write a function bool beginsWith(char prefix[], char string[]) that returns true if prefix[] is a prefix of string[]. For example
    char prefix1[] = "Al";
    char string1[] = "Aline";
    char string2[] = "Hello World!";
    beginsWith(prefix, string1); // returns `true`
    beginsWith(prefix, string2); // returns `false`
    Don't forget to #include <stdbool.h> in order to use the bool data type.
  5. Mathematical functions
    Write a program that prints the sine and cosine of all values between 0 and π in steps of 0.1. The last value must be π. All values should be fixed to 2 digits after the decimal point.
    A sample run of this program:
    radians |  sine | cosine
    ------------------------
        0.0 |  0.00 |   1.00
        0.1 |  0.10 |   1.00
        0.2 |  0.20 |   0.98
    [...]
        3.0 |  0.14 |  -0.99
        3.1 |  0.04 |  -1.00
       3.14 |  0.00 |  -1.00