Java expressions in mathematical notation

  • Write the following Java expressions in mathematical notation.
    a. dm = m * (Math.sqrt(1 + v / c) / Math.sqrt(1 – v / c) – 1);b. volume = Math.PI * r * r * h;

    c. volume = 4 * Math.PI * Math.pow(r, 3) / 3;

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    d. z = Math.sqrt(x * x + y * y);

  • R2.6 What are the values of the following expressions? In each line, assume that
    double x = 2.5;
    double y = -1.5;
    int m = 18;
    int n = 4;a. x + n * y – (x + n) * y

    b. m / n + m % n

    c. 5 * x – n / 5

    d. 1 – (1 – (1 – (1 – (1 – n))))

    e. Math.sqrt(Math.sqrt(n))

  • R2.7 What are the values of the following expressions, assuming that n and m have type int, n is 17, and m is 18?
    a. n / 10 + n % 10b. n % 2 + m % 2

    c. (m + n) / 2

    d. (m + n) / 2.0

    e. (int) (0.5 * (m + n))

    f. (int) Math.round(0.5 * (m + n))

  • R2.8 What are the values of the following expressions? In each line, assume that
    String s = “Hello”;
    String t = “World”;a. s.length() + t.length()

    b. s.substring(1, 2)

    c. s.substring(s.length() / 2, s.length())

    d. s + t

    e. t + s

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