Sets \( A \) and \( B \) are subsets of the universal set \( U \). These sets are defined as follows. \[ \begin{array}{l}U=\{1,3,5,7,8\} \\ A=\{3,5,8\} \\ B=\{1,3\}\end{array} \] Find the following sets. Write your answer in roster form or as \( \varnothing \). (a) \( (A \cap B)^{\prime}=\square \) (b) \( A^{\prime} \cup B=\square \)

Regions with projected low support ratios by 2050 will primarily face challenges in: a. Increasing agricultural productivity. b. Attracting international migration. c. Reducing fertility rates. d. Sustaining elderly care systems.

A developing nation introduces measures to increase economic productivity per capita. Which theory does this align with? a. Optimum population theory b. Malthusian theory c. Population bomb theory d. Demographic transition model

Cocoa farming in Ghana is supported by specific agricultural practices. What method is most commonly used for drying cocoa beans after fermentation? a. Sun drying combined with artificial heating b. Employing large-scale solar drying panels c. Using mechanized dryers for rapid drying d. Spreading beans in the open air for six days

Export restrictions on cereals like maize anc rice are sometimes imposed in West Africa. What is one primary reason for these restrictions? a. To discourage small-scale farming bavor of industrial agriculture To promote regional trade agreements like ELTS

(ix) The equation \( \frac{1}{r r} \frac{\partial}{r}\left(r \frac{\partial u}{r r}\right)=\frac{1}{c^{2}} \frac{\partial^{2} u}{\partial t^{2}} \) is one dimensional wave equation in: (a) Cylindrical coordinate (b) Polar coordinate (c) Spherical coordinate (d) None of these