The value of the definite integral
$$\int\limits_{ - 3}^3 {\int\limits_{ - 2}^2 {\int\limits_{ - 1}^1 {(4{x^2}y - {z^3})dz\,dy\,dx} } } $$
is ___________. (Rounded off to the nearest integer)
Let X be a set and 2$$^X$$ denote the powerset of X. Define a binary operation $$\Delta$$ on 2$$^X$$ as follows:
$$A\Delta B=(A-B)\cup(B-A)$$.
Let $$H=(2^X,\Delta)$$. Which of the following statements about H is/are correct?
Consider a random experiment where two fair coins are tossed. Let A be the event that denotes HEAD on both the throws, B be the event that denotes HEAD on the first throw, and C be the event that denotes HEAD on the second throw. Which of the following statements is/are TRUE?
Which one or more of the following options guarantee that a computer system will transition from user mode to kernel mode?