Express in terms of the unit step function, the piecewise continuous causal functions () = { 2 2 , 0 ≤ < 3 + 4, 3 ≤ < 5 9, ≥ 5 [3 marks] ii. Use Laplace transforms to solve the initial value problem ) ′′ + 16 = 43 + ( − ⁄3) where (0) = 0 and ′(0) = 0.

List the 10 possible samples (without replacement) of size 3 3 that can be obtained from the population of five officials.

Triangle jkl was dilated using the rule dm, 1/3 the image, triangle j’ k’ l’ is the result of the dilation. a.5 units b.7.5 units c.10 units d.12.5 units

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15